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22 pages, 1059 KB  
Article
Parity Space-Based Fault Detection for Networked Control Systems Under DoS Attacks
by Yang Song, Wenge Sun, Xiaoyu Zhang and Rong Guo
Sensors 2026, 26(13), 4023; https://doi.org/10.3390/s26134023 (registering DOI) - 24 Jun 2026
Abstract
This paper presents a parity space-based fault detection (FD) method for networked control systems (NCSs) subject to denial-of-service (DoS) attacks resulting in packet dropouts. To begin with, a parity relation that takes into account DoS attacks is constructed utilizing the available input and [...] Read more.
This paper presents a parity space-based fault detection (FD) method for networked control systems (NCSs) subject to denial-of-service (DoS) attacks resulting in packet dropouts. To begin with, a parity relation that takes into account DoS attacks is constructed utilizing the available input and output data during a time-varying window. Based on the parity relation, a residual generator is proposed without introducing transmission errors caused by DoS attacks. Additionally, an H/H2 optimization scheme is developed for the design of residual to achieve a trade-off between the sensitivity to faults and the robustness against the disturbance/noise. Then, an adaptive residual evaluation function with a unified threshold is also proposed for no DoS attack scenario and DoS attack scenarios. Furthermore, the relationship between the traditional residual generator with the proposed one is explored, and an online FD algorithm is presented. Finally, the effectiveness of the proposed approach is demonstrated on a linearized longitudinal model of an autonomous underwater vehicle (AUV), and a comparison with an existing parity space approach is also provided. Full article
(This article belongs to the Section Fault Diagnosis & Sensors)
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19 pages, 5593 KB  
Article
Comparative Feasibility of Transmission and Metal-Backed Microwave Architectures for Meter-Referenced Grain Moisture Monitoring
by Qinyi Xiao, Xingbao Lyu, Yiqun Ma, Guijiang Liu, Chengxun Yuan, Jingfeng Yao and Zhongxiang Zhou
Appl. Sci. 2026, 16(13), 6348; https://doi.org/10.3390/app16136348 (registering DOI) - 24 Jun 2026
Abstract
Grain moisture content is a key variable for safe storage, drying control, and quality management. Microwave sensing is attractive because water strongly modulates the complex relative permittivity (ε* = ε′ – ″) of granular agricultural products, thereby shaping broadband [...] Read more.
Grain moisture content is a key variable for safe storage, drying control, and quality management. Microwave sensing is attractive because water strongly modulates the complex relative permittivity (ε* = ε′ – ″) of granular agricultural products, thereby shaping broadband scattering-parameter spectra. This study presents a meter-referenced feasibility evaluation of an interpretable S-parameter–permittivity–moisture chain using a vector network analyzer over 2–18 GHz. Wheat, maize, and mung bean were prepared at six moisture levels, and the moisture values were referenced to two commercial grain moisture meters (MC_ref) to represent rapid on-site benchmarking rather than absolute gravimetric moisture determination. Therefore, the reported errors should be interpreted as commercial-meter-referenced calibration indicators rather than absolute gravimetric moisture prediction accuracy. Two free-space configurations were compared on the same platform: a two-horn transmission setup under controlled packing and a metal-backed double-pass reflection setup intended to represent single-sided access under loose bulk packing. After SOLT calibration and empty-holder background normalization, ε′ and ε″ were retrieved via complex-domain nonlinear least-squares fitting of physics-based slab models to measured S21 spectra. The results show that moisture-dependent dielectric responses were grain- and configuration-dependent. In particular, ε″ generally provided a more robust moisture-sensitive feature in the free-space transmission configuration, whereas the optimal single-parameter predictor in the metal-backed configuration differed among grains. A mid-band frequency window of approximately 8–16 GHz provided more stable inversion by avoiding low-frequency coupling artefacts and high-frequency signal-to-noise degradation. The metal-backed configuration preserved moisture trends but yielded lower effective ε′ values, likely due to increased air fraction under loose packing. These results indicate that packing state, grain type, and frequency-window selection are critical factors for transferring microwave moisture calibration from laboratory measurements to practical grain-handling scenarios. Full article
18 pages, 3793 KB  
Article
TSN Schedulability Analysis with TAMCQF + CBS for Automotive Ethernet
by Qin Liu, Haotian Gan, Feng Luo, Yunpeng Li and Zhouping Zhang
Electronics 2026, 15(13), 2776; https://doi.org/10.3390/electronics15132776 (registering DOI) - 24 Jun 2026
Abstract
Time-Sensitive Networking (TSN) has emerged as a critical communication protocol for automotive Ethernet to support the high-bandwidth, real-time, and deterministic transmission requirements of next-generation in-vehicle networks. However, a clear and effective TSN mechanism combination tailored to the mixed and bursty traffic characteristics of [...] Read more.
Time-Sensitive Networking (TSN) has emerged as a critical communication protocol for automotive Ethernet to support the high-bandwidth, real-time, and deterministic transmission requirements of next-generation in-vehicle networks. However, a clear and effective TSN mechanism combination tailored to the mixed and bursty traffic characteristics of automotive scenarios remains lacking. To address this issue, this paper proposes a combined TSN scheduling mechanism for automotive scenarios. The highest-priority traffic is scheduled by class-based Time-Aware Shaper (TAS), periodic bursty sensor traffic is shaped by Credit-Based Shaper (CBS), and medium-priority traffic adopts Multi-Cyclic Queueing and Forwarding (MCQF). Based on Compositional Performance Analysis (CPA), this paper derives the worst-case latency upper bound expressions for CQF streams and optimizes the schedulability analysis to reduce conservative errors. Simulation verifies that the theoretically calculated bounds cover the maximum simulation latency, and the optimized analysis reduces conservatism, with peak conservative error of 3.07% in the ring scenario and 10.59% in the automotive scenario. Compared with the strict priority and TAMCQF (a combination of TAS and Multi-CQF), the proposed mechanism combination suppresses the latency jitter of mixed traffic, mitigates long-duration blocking of medium-priority traffic caused by high-priority burst data, and provides reliable deterministic transmission guarantees for automotive in-vehicle networks. Full article
(This article belongs to the Section Networks)
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20 pages, 6758 KB  
Article
Wheel-AINS: A Vehicle Autonomous Positioning System Based on a Wheel-Mounted MIMU Array
by Guangmin Yuan, Guoyuan He, Xiangyang Guo, Ruijie Li, Chenyang Jiao and Xiaoying Li
Micromachines 2026, 17(7), 767; https://doi.org/10.3390/mi17070767 (registering DOI) - 24 Jun 2026
Abstract
In satellite-denied environments such as urban canyons, tunnels, and underground parking facilities, achieving high-precision autonomous positioning for vehicles remains a critical challenge. Although high-precision inertial measurement units (IMUs) can provide accurate dead reckoning, their deployment is limited by cost, size, and power consumption, [...] Read more.
In satellite-denied environments such as urban canyons, tunnels, and underground parking facilities, achieving high-precision autonomous positioning for vehicles remains a critical challenge. Although high-precision inertial measurement units (IMUs) can provide accurate dead reckoning, their deployment is limited by cost, size, and power consumption, making low-cost, microelectromechanical systems IMUs (MIMUs) an attractive alternative solution. However, the single MIMU suffers from substantial measurement noise and bias instability, leading to rapid error divergence that cannot sustain long-term autonomous navigation. To address the above issues, this paper proposes an autonomous positioning system based on a wheel-mounted MIMU array (Wheel-AINS). The system adopts a differential layout in which multiple low-cost MIMU chips are installed at the center of each of the left and right rear wheels, forming redundant sensor arrays. By differentially fusing symmetrically mounted chips, common-mode noise and zero bias are effectively canceled while the wheel rotation provides natural rotational modulation. The fused gyroscope outputs and known wheel radius are then used to estimate the vehicle forward speed, replacing traditional odometers. The estimated wheel speed and vehicle kinematic constraints are then integrated within a Kalman filter framework to suppress the error divergence of the inertial navigation system. A dedicated embedded hardware prototype with multi-chip synchronous acquisition and wireless transmission was developed. Three groups of urban road tests with total distances of 0.85 km, 2.14 km, and 2.49 km were conducted. The results indicate that the average position drift rate of the Wheel-AINS is 0.50%, and the average heading RMSE is 12.2°. The closure error of the 2.49 km trajectory is 10.43 m, reduced by approximately 80% compared with a single MIMU. The ablation experiment reveals that the MIMU array fusion module is the primary source of accuracy improvement, reducing the position RMSE from 155.0 m to 10.1 m, while the dual-wheel distance constraint further optimizes the position RMSE to 8.2 m, but increases the heading RMSE from 13.3° to 13.6°. This demonstrates that the proposed method can substantially improve autonomous positioning accuracy while maintaining a notably low system cost, providing a viable technical pathway for long-endurance vehicle navigation in satellite-denied environments. Full article
(This article belongs to the Special Issue MEMS/NEMS Devices and Applications, 4th Edition)
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26 pages, 14293 KB  
Article
Bio-Inspired Sensitivity-Weighted NSGA-II Optimization of a 6-UPS Parallel Loading Mechanism for Aero-Engine Pylon Vector-Force Loading
by You Zhang, Yang Pan, Lingyu Wang, Haoran Cui, Surong Jiang, Liping Ding, Shengli Chen, Yangshuo Yue and Bai Chen
Biomimetics 2026, 11(7), 444; https://doi.org/10.3390/biomimetics11070444 (registering DOI) - 24 Jun 2026
Abstract
Structural static testing is paramount for validating the structural integrity of critical aerospace components. However, conventional test rigs are often constrained to fixed loading axes and frequently induce parasitic torques. Accurate reproduction of aero-engine pylon flight loads therefore requires a mechanism that combines [...] Read more.
Structural static testing is paramount for validating the structural integrity of critical aerospace components. However, conventional test rigs are often constrained to fixed loading axes and frequently induce parasitic torques. Accurate reproduction of aero-engine pylon flight loads therefore requires a mechanism that combines omnidirectional vector loading, high stiffness, and efficient force transmission. Achieving these coupled requirements is primarily a geometric synthesis problem, yet the associated workspace, stiffness, and load–capacity indices are nonlinear, mutually coupled, and expensive to evaluate over dense pose samples. To address this optimization bottleneck, this work develops a task-specific 6-UPS loading mechanism and a bio-inspired sensitivity-weighted NSGA-II algorithm for its geometric synthesis. Inspired by gene/locus-specific heterogeneity in biological evolution, the algorithm assigns variable-wise search intensities according to design-variable sensitivities, which are estimated using Multivariate Adaptive Regression Splines (MARS). In this way, influential design genes receive stronger local exploitation, whereas less sensitive ones retain broader exploration. Numerical simulations demonstrate that the proposed approach reduces computation time from about 30 h to 3 h relative to direct optimization with the baseline NSGA-II, while simultaneously improving workspace, stiffness, and load-carrying capacity. A hybrid physical prototype was further tested under 240 loaded pose conditions; the system maintained force magnitude errors below 0.64% (63.42 N) and directional deviations below 1.15°. These results support the efficacy of the proposed bio-inspired optimization-based design methodology for high-fidelity static testing of aero-engine pylons under the adopted hybrid setup. Full article
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25 pages, 1176 KB  
Article
Venue-Driven Informational Leadership in a Small Emerging Market: Spillover Networks and Regime-Dependent Information Transmission in the Colombian Stock Exchange (2015–2024)
by Alejandro Pérez-y-Soto-Domínguez, Juan Manuel Candelo-Viáfara and María Del Pilar Rivera-Díaz
J. Risk Financial Manag. 2026, 19(7), 455; https://doi.org/10.3390/jrfm19070455 (registering DOI) - 23 Jun 2026
Viewed by 135
Abstract
This paper studies the informational hierarchy of individual stocks in the Colombian Stock Exchange (BVC), with particular attention to the role of cross-listed securities. The paper addresses a gap in the literature on small emerging markets, where evidence on intra-market information and return [...] Read more.
This paper studies the informational hierarchy of individual stocks in the Colombian Stock Exchange (BVC), with particular attention to the role of cross-listed securities. The paper addresses a gap in the literature on small emerging markets, where evidence on intra-market information and return transmission remains scarce, particularly in the presence of illiquidity, cross-listing, and external risk exposure. Using daily data for 2015–2024, we estimate a five-asset vector autoregression VAR (3) with exogenous global controls and compute generalized forecast error variance decompositions within the Diebold–Yilmaz connectedness framework, with residual-bootstrap inference and CBOE Volatility Index (VIX)-based regime analysis. The VIX regimes are used to distinguish low-, medium-, and high-global-risk environments because global risk appetite is a key channel through which external shocks affect emerging equity markets. Three results stand out. First, total connectedness is moderate in the full sample, at 25.2%, but rises sharply with global risk, from 17.5% in low-VIX periods to 28.4% in high-VIX periods. Second, Ecopetrol’s American Depositary Receipt listed on the New York Stock Exchange (EC, NYSE) emerges as the dominant net transmitter of return innovations, and its informational leadership becomes stronger as global uncertainty increases. Third, when the local Ecopetrol share is excluded, leadership shifts to Bancolombia’s ADR (CIB), suggesting that directional spillover leadership is associated not only with firm identity but also with the offshore trading venue. These findings document a regime-dependent and venue-driven informational hierarchy, consistent with ADR-listed securities acting as dominant transmitters of return innovations to the domestic Colombian equity system. For portfolio managers, the results imply that diversification across local Colombian equities may overstate the number of independent information sources, especially during high-risk periods, and that monitoring ADRs, global volatility, oil prices, and exchange-rate conditions may improve hedging and risk management. Full article
(This article belongs to the Special Issue Evaluating Risk and Return in Modern Financial Markets)
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17 pages, 3316 KB  
Communication
Salinity Sensor Using a Tapered Polarization-Maintaining Fiber-Based Sagnac Loop in a Fiber Ring Laser with Support Vector Regression for Improved Accuracy
by Weihao Lin, Zihan Huang, Keyu Cai, Mingkun Zhang, Renan Xu and Yuhui Liu
Sensors 2026, 26(12), 3953; https://doi.org/10.3390/s26123953 (registering DOI) - 22 Jun 2026
Viewed by 164
Abstract
This paper proposes and experimentally demonstrates a fiber ring laser (FRL) salinity sensing system based on a Sagnac loop (SL) formed by a tapered polarization-maintaining fiber (TPMF). The operating principle is that salinity modulates the birefringence of the polarization-maintaining fiber (PMF), causing a [...] Read more.
This paper proposes and experimentally demonstrates a fiber ring laser (FRL) salinity sensing system based on a Sagnac loop (SL) formed by a tapered polarization-maintaining fiber (TPMF). The operating principle is that salinity modulates the birefringence of the polarization-maintaining fiber (PMF), causing a shift in the interference wavelength of the SL transmission spectrum, while the FRL narrows the optical spectrum and enhances the signal-to-noise ratio (SNR). In the experiment, the SL consists of a 20-cm-long PMF with a tapered waist diameter of 10.86 μm. Over the salinity range of 0‰ to 30‰, the sensitivity of the laser-based sensing system is 97 pm/‰, which agrees well with the 93 pm/‰ sensitivity obtained using a broadband light source (BBS), and the salinity exhibits a good linear relationship with the wavelength shift, with a coefficient of determination (R2) of 0.997. Meanwhile, the ring laser cavity improves the SNR of the sensing system from 22 dB to approximately 54 dB, and compresses the 3-dB bandwidth from 1.75 nm to 0.06 nm. Further adopting the support vector regression (SVR) algorithm for linear regression modeling of the spectral data, the results show that the mean absolute error (MAE) decreases from 0.50‰ to 0.04‰, the root mean square error (RMSE) decreases from 0.54‰ to 0.11‰, and R2 reaches as high as 0.99988. To the best of our knowledge, this is the first work that combines salinity laser sensing with an artificial intelligence algorithm. The proposed sensor leverages the narrow linewidth and high SNR advantages of the FRL together with the high-precision linear fitting capability of the SVR algorithm, achieving significantly improved accuracy for salinity measurement compared to conventional spectral demodulation. Full article
(This article belongs to the Special Issue Advances in Optical Fiber Sensors and Fiber Lasers)
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16 pages, 6839 KB  
Article
Multidimensional Optimization of Radio-over-Fiber Links Based on Tunable Carrier-to-Sideband Ratio
by Weile Zhai, Jinyuan Ye, Ruihao Wang, Zhong’ao Yang, Jiajun Tan, Xiaoyan Pang, Wanzhao Cui and Yongsheng Gao
Photonics 2026, 13(6), 600; https://doi.org/10.3390/photonics13060600 (registering DOI) - 21 Jun 2026
Viewed by 78
Abstract
In radio-over-fiber (RoF) links, optical single-sideband (OSSB) modulation is an effective method to mitigate power fading caused by chromatic dispersion. However, its low modulation efficiency leads to suboptimal link performance. To address this, we propose a tunable optical carrier-to-sideband ratio (OCSR) OSSB modulation [...] Read more.
In radio-over-fiber (RoF) links, optical single-sideband (OSSB) modulation is an effective method to mitigate power fading caused by chromatic dispersion. However, its low modulation efficiency leads to suboptimal link performance. To address this, we propose a tunable optical carrier-to-sideband ratio (OCSR) OSSB modulation scheme based on a dual-electrode Mach–Zehnder modulator (DEMZM) in a Sagnac loop. Firstly, by adjusting the OCSR, higher radio-frequency (RF) transmission efficiency can be achieved. The experimental results demonstrate that the proposed link provides a 6 dB improvement in received RF power compared to conventional SSB modulation schemes. Furthermore, this approach effectively optimizes nonlinear distortions in the link, achieving a 12.14 dB enhancement in spurious-free dynamic range (SFDR). For tests conducted with a broadband signal featuring a 15 GHz carrier frequency and 500 MHz bandwidth, the optimal error vector magnitude (EVM) reaches 4.88%. Additionally, the link performance can be flexibly improved by adjusting the polarization controller configurations for each channel, making it suitable for multi-user application scenarios. Full article
(This article belongs to the Special Issue Optical Signal Processing for Advanced Communication Systems)
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27 pages, 5419 KB  
Article
Orthogonal Band Planning and Synergistic Interference Suppression for Full-Duplex Acoustic Telemetry in Coiled Tubing of Deep Horizontal Wells
by Hao Geng, Yingjian Xie, Junlong Wu, Zhihao Wang, Hu Han and Dong Yang
Sensors 2026, 26(12), 3929; https://doi.org/10.3390/s26123929 (registering DOI) - 20 Jun 2026
Viewed by 259
Abstract
Full-duplex acoustic telemetry is important for real-time bidirectional measurement and control in intelligent coiled-tubing operations, but its reliability in deep horizontal wells is limited by long-range dispersion, asymmetric flow-induced noise, and severe near-end self-interference. This study proposes an orthogonal frequency-band planning and synergistic [...] Read more.
Full-duplex acoustic telemetry is important for real-time bidirectional measurement and control in intelligent coiled-tubing operations, but its reliability in deep horizontal wells is limited by long-range dispersion, asymmetric flow-induced noise, and severe near-end self-interference. This study proposes an orthogonal frequency-band planning and synergistic interference suppression method for full-duplex acoustic communication in coiled tubing. A dispersion model and an asymmetric attenuation model were first established for a fluid-filled coiled-tubing cylindrical-shell waveguide to characterize the physical transmission constraints. A multiphysics multi-objective cost function was then formulated by considering dispersion flatness, channel attenuation, asymmetric noise adaptability, and spectral isolation, and an improved simulated annealing algorithm was used to optimize the uplink and downlink frequency bands. In addition, a three-stage suppression architecture integrating mechanical decoupling, physical-layer frequency isolation, and CEEMDAN–wavelet denoising was developed to reduce self-interference and residual nonstationary noise. Full-scale experiments on a 457.2 m coiled-tubing surface circulation system showed that the proposed method improved the output signal-to-interference-plus-noise ratio from −15 dB to 18.5 dB and maintained a bit error rate below 1.2 × 10−4 at 400 L/min. These results indicate that the proposed approach can enhance the robustness of full-duplex acoustic telemetry under strong flow-induced noise. Full article
(This article belongs to the Section Industrial Sensors)
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19 pages, 4732 KB  
Article
YOLO-OBB and Two-Stage Geometric Correction for RGB-LED Array Optical Camera Communication
by Jiaqi Ju, Pan Qiu, Yipeng Tan and Zhengguang Shi
Photonics 2026, 13(6), 599; https://doi.org/10.3390/photonics13060599 (registering DOI) - 20 Jun 2026
Viewed by 145
Abstract
In Optical Camera Communication (OCC), precise localization of LED arrays under complex tilt conditions is a core challenge for reliable decoding. This paper proposes an OCC reception scheme for RGB-LED arrays that integrates YOLO-OBB rotated object detection with two-stage geometric correction. The system [...] Read more.
In Optical Camera Communication (OCC), precise localization of LED arrays under complex tilt conditions is a core challenge for reliable decoding. This paper proposes an OCC reception scheme for RGB-LED arrays that integrates YOLO-OBB rotated object detection with two-stage geometric correction. The system first employs a YOLOv8n-OBB model to extract a quadrilateral region of interest that tightly encloses the LED array boundary. This effectively suppresses background interference caused by superimposed perspective tilt and in-plane rotation. A coarse-to-fine two-stage correction framework is then applied. The first stage rapidly eliminates the dominant perspective distortion based on the detected bounding-box corners. The second stage performs a refined correction using the actual LED center positions. Two homography matrices are cascaded into a combined transformation, achieving two-stage correction accuracy through a single coordinate mapping. In the corrected image, K-Means clustering constructs a 16 × 16 LED topological grid. A locking strategy is adopted so that subsequent frames skip repeated LED detection and clustering. The steady-state per-frame processing time is reduced to approximately 78.9 ms. Experiments covered 16 cross-combinations of vertical tilt from 0° to 45° (0°, 15°, 30°, 45°) and in-plane rotation from 0° to 40° (0°, 15°, 30°, 40°). The uncorrected scheme and the horizontal-box scheme experienced severe bit errors or complete failure under complicated distortion. The proposed scheme maintained error-free transmission under all 16 tested conditions. The ratios of opposite sides of the corrected LED grid remained stable between 0.997 and 1.004. The system simultaneously achieves high reliability and low-latency real-time processing under complex geometric distortions. Full article
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25 pages, 15482 KB  
Article
An Attention-Based Deep Learning Method for Acoustic Emission Arrival Picking in True Triaxial Hydraulic Fracturing Experiments
by Ji Lu and Botao Lin
Processes 2026, 14(12), 2004; https://doi.org/10.3390/pr14122004 (registering DOI) - 20 Jun 2026
Viewed by 174
Abstract
Accurate arrival picking of acoustic emission (AE) data is essential for AE event localization and hydraulic fracture characterization in true triaxial hydraulic fracturing experiments. However, conventional arrival picking methods are highly sensitive to manually defined thresholds, whereas existing deep learning models are constrained [...] Read more.
Accurate arrival picking of acoustic emission (AE) data is essential for AE event localization and hydraulic fracture characterization in true triaxial hydraulic fracturing experiments. However, conventional arrival picking methods are highly sensitive to manually defined thresholds, whereas existing deep learning models are constrained by low signal-to-noise ratios (SNRs) and limited AE dataset sizes. To address these challenges, this study proposes an attention-based deep learning method for AE arrival picking. The proposed method introduces an attention mechanism into the PhaseNet framework to suppress noise feature transmission in the skip connections. In addition, a kernel density estimation (KDE)-based label smoothing strategy was adopted to alleviate label imbalance and account for arrival-time uncertainty. The results demonstrate that the proposed method reduced the mean absolute error (MAE) by 10.58%, 92.92%, and 98.25% compared with PhaseNet, STA/LTA, and AR-AIC, respectively. The proposed method exhibited superior picking accuracy, robustness, and computational efficiency relative to the other methods, providing a reliable foundation for AE event localization and high-precision AE monitoring in hydraulic fracturing experiments. Full article
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26 pages, 7111 KB  
Article
Elucidating and Collating the True Scriptures: A Study of the Newly Discovered Qing-Dynasty Editions of the Nanbei dou jing chanwei
by Qinsheng Shi
Religions 2026, 17(6), 732; https://doi.org/10.3390/rel17060732 (registering DOI) - 18 Jun 2026
Viewed by 201
Abstract
The veneration of the Southern and Northern Dippers stands at the heart of the Daoist tradition of astral worship, and the compilation of the Nanbei dou jing (Scriptures of the Southern and Northern Dippers) during the Northern Song dynasty marks a defining moment [...] Read more.
The veneration of the Southern and Northern Dippers stands at the heart of the Daoist tradition of astral worship, and the compilation of the Nanbei dou jing (Scriptures of the Southern and Northern Dippers) during the Northern Song dynasty marks a defining moment in the codification of this belief system. Over the course of their transmission, however, the texts accumulated errors while their exegetical tradition fell into increasing neglect. During the Jiaqing and Daoguang reigns of the Qing dynasty, local literati in Yunnan employed the practice of spirit-writing to compose the Beidou jing chanwei and the Nandou jing chanwei in succession, with the twin aims of reconstructing the canonical texts and reviving their interpretive tradition. This article examines these two commentaries along three axes—textual character, philological value, and religious thought—and argues that they are at once liturgical handbooks of the Dongjing Association and the most significant Qing-dynasty annotations of the Nanbei dou jing known to date. Philologically, they preserve variant readings of considerable value for the reconstruction of the textual history of both scriptures. Doctrinally, the commentators fused Daoist astral worship with Buddhist karmic cosmology, Confucian ritual cultivation, and the discourse of inner alchemy, yielding a form of three-teachings syncretism distinctively shaped by its regional context. Through these rare sources, this article seeks to open new perspectives on Daoist textual production, inter-religious exchange, and ritual practice in Qing-dynasty Yunnan. Full article
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26 pages, 17107 KB  
Article
Full-Spectrum Inverse Design of Compact Ring-Curve Fractal-Maze Acoustic Metamaterials via an LSTM–PPS-Net Tandem Framework
by Guangyao Zhu, Tao Chen, Yao Xiao, Caixia Yang, Jingyue Liang and Fei Lin
Crystals 2026, 16(6), 400; https://doi.org/10.3390/cryst16060400 (registering DOI) - 18 Jun 2026
Viewed by 191
Abstract
Low-frequency sound insulation remains a major challenge for conventional passive materials, as improved attenuation is usually achieved at the expense of increased thickness and mass. In this work, a smooth fixed third-order ring-curve fractal-maze acoustic metamaterial is proposed for compact low-frequency sound insulation, [...] Read more.
Low-frequency sound insulation remains a major challenge for conventional passive materials, as improved attenuation is usually achieved at the expense of increased thickness and mass. In this work, a smooth fixed third-order ring-curve fractal-maze acoustic metamaterial is proposed for compact low-frequency sound insulation, and a physics-guided long short-term memory–physics prediction surrogate network (LSTM–PPS-Net) tandem framework is developed for its full-spectrum inverse design. Different from conventional Hilbert-type, right-angled, or sharply folded labyrinthine structures, the proposed topology uses recursively arranged curved channels to extend the effective acoustic propagation path and enhance phase accumulation within a limited space. Based on this mechanism, four physically meaningful parameters, namely slit width d, characteristic radius R3, wall thickness tw, and inter-column spacing lE, are selected to construct a low-dimensional design space. A COMSOL–MATLAB automated finite-element method (FEM) workflow is established to generate 1000 valid transmission-loss (TL) spectra over 100–1700 Hz with a 5 Hz interval. For forward prediction, PPS-Net is developed by integrating geometry encoding, frequency-conditioned spectral decoding, and peak-weighted learning. The proposed PPS-Net achieves the best prediction accuracy among the tested models, with a mean absolute error (MAE) of 0.75 dB, a root mean square error (RMSE) of 1.88 dB, and a coefficient of determination (R2) of 0.96, outperforming multi-layer perceptron (MLP), convolutional neural network (CNN) and Transformer models under the same dataset and training protocol. For inverse design, the LSTM encoder extracts frequency-ordered spectral features from the target TL curve, while the frozen PPS-Net decoder provides differentiable acoustic-response feedback, thereby addressing the non-unique mapping from acoustic response to structural parameters. Furthermore, a compactness-oriented optimization strategy is introduced to balance spectral consistency, peak alignment, bandwidth preservation, and occupied-area reduction. In two representative cases, the optimized designs reduce the occupied area by approximately 21% in both representative cases, while maintaining the target attenuation characteristics after FEM verification. These results demonstrate that the proposed framework provides an efficient and physically interpretable route for the full-spectrum inverse design and compact optimization of low-frequency acoustic metamaterials. Full article
(This article belongs to the Section Inorganic Crystalline Materials)
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38 pages, 3558 KB  
Article
Enhanced Load Frequency Control for Renewable-Integrated Low-Inertia Power Systems Using FPA-Optimised PID Controller with UPFC and Redox Flow Battery
by Stephen Gumede, Kavita Behara and Gulshan Sharma
Energies 2026, 19(12), 2898; https://doi.org/10.3390/en19122898 (registering DOI) - 18 Jun 2026
Viewed by 120
Abstract
The increasing penetration of renewable energy sources introduces significant variability, low-inertia behaviour, and operational uncertainty into modern power systems, resulting in frequent frequency deviations and degraded dynamic stability. Conventional Load Frequency Control (LFC) approaches based on fixed-parameter PID controllers often exhibit limited disturbance [...] Read more.
The increasing penetration of renewable energy sources introduces significant variability, low-inertia behaviour, and operational uncertainty into modern power systems, resulting in frequent frequency deviations and degraded dynamic stability. Conventional Load Frequency Control (LFC) approaches based on fixed-parameter PID controllers often exhibit limited disturbance rejection capability under nonlinear and stochastic operating conditions. This study proposes an enhanced LFC framework that integrates a PID controller optimised using the Flower Pollination Algorithm (FPA) with support from a Unified Power Flow Controller (UPFC) and a Redox Flow Battery (RFB) to improve frequency regulation, damping, and robustness in renewable-integrated low-inertia power systems. This study developed a MATLAB/Simulink single-area power system model comprising governor, turbine, and generator-load dynamics to evaluate controller performance under a 0.01 pu step disturbance, stochastic load variations, renewable energy fluctuations, and ±20% parameter uncertainty conditions. The FPA optimally tuned the PID controller gains using the Integral Time Absolute Error criterion to enhance transient response and disturbance rejection capability. Comparative analyses were conducted against conventional PID and fuzzy-based controllers using settling time, overshoot, RMS deviation, ITAE, and mean frequency deviation indices. Simulation results demonstrate that the proposed FPA–PID + UPFC framework significantly outperforms the conventional PID controller by achieving approximately 66.6% settling-time reduction, 72.1% RMS reduction, and 75.5% ITAE reduction. The proposed framework reduced settling time from 18.46 s to 6.16 s and substantially improved damping performance under stochastic disturbances. The coordinated integration of the UPFC and RFB further enhanced transient stability through dynamic power-flow regulation and rapid active-power compensation during disturbances. Sensitivity analysis under parameter uncertainty and stochastic operating conditions confirmed stable and reliable operation under stochastic disturbances and parameter uncertainty conditions. The proposed architecture, therefore, provides an effective, practically applicable solution for secondary frequency regulation in renewable-rich smart grids, low-inertia transmission systems, microgrids, and future distributed power networks. Full article
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Article
Event-Triggered Sampled-Data Iterative Learning Control for Fractional-Order Cyber-Physical Systems
by Jiajun Sun, Siyuan Wang, Xingyu Zhou, Xinsong Zhang and Chenghong Gu
Fractal Fract. 2026, 10(6), 418; https://doi.org/10.3390/fractalfract10060418 (registering DOI) - 18 Jun 2026
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Abstract
This paper investigates the output synchronization of fractional-order cyber-physical systems (FOCPSs) under communication constraints. To address limited bandwidth and high transmission costs, an event-triggered encoding-decoding sampled-data iterative learning control (ET-EDSDILC) protocol is proposed. The control law integrates a quantized sampling framework with an [...] Read more.
This paper investigates the output synchronization of fractional-order cyber-physical systems (FOCPSs) under communication constraints. To address limited bandwidth and high transmission costs, an event-triggered encoding-decoding sampled-data iterative learning control (ET-EDSDILC) protocol is proposed. The control law integrates a quantized sampling framework with an encoding–decoding mechanism to reconstruct control signals and address communication constraints. Furthermore, an event-triggered mechanism based on error energy attenuation (EEA) is developed to adjust communication frequency by monitoring error trends, thereby reducing unnecessary data transmissions. By applying fractional-order calculus and the contraction mapping principle, sufficient conditions for output synchronization are derived. Numerical simulations show that the proposed ET-EDSDILC framework reduces communication overhead and data redundancy while maintaining tracking performance, offering a solution for FOCPSs under communication constraints. Full article
(This article belongs to the Special Issue Fractional Dynamics and Control in Multi-Agent Systems and Networks)
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