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24 pages, 1461 KB  
Article
Simulation of Temperature and Water Vapor Profiles Retrieved from FORUM and IASI-NG Measurements
by Elisa Butali, Simone Ceccherini, Cecilia Tirelli, Gabriele Poli, Ugo Cortesi, Samantha Melani, Luca Rovai and Alberto Ortolani
Atmosphere 2026, 17(3), 329; https://doi.org/10.3390/atmos17030329 (registering DOI) - 23 Mar 2026
Abstract
To advance our understanding of atmospheric processes and climate dynamics, improved knowledge of outgoing long-wave radiation (OLR) spectral emission is essential. The FORUM mission, selected for the ninth cycle of the European Space Agency’s Earth Explorer programme, is specifically designed to address the [...] Read more.
To advance our understanding of atmospheric processes and climate dynamics, improved knowledge of outgoing long-wave radiation (OLR) spectral emission is essential. The FORUM mission, selected for the ninth cycle of the European Space Agency’s Earth Explorer programme, is specifically designed to address the long-standing observational gap in the far-infrared (FIR) spectral region. When combined with measurements from the IASI-NG instrument, FORUM will provide complete spectral coverage of Earth’s OLR emission (spanning 100 to 2760 cm−1 wavenumber, or 3.62 to 100 μm wavelength), thereby enabling robust climate model validation and enhanced understanding of climate change processes. While IASI-NG’s primary mission is to support numerical weather prediction, FORUM is designed to measure key climate variables, which also enable the retrieval of atmospheric parameters in the troposphere and lower stratosphere. In this study, we assess the information content of FORUM and IASI-NG measurements for atmospheric profiling through a simulation-based approach. Synthetic retrieval products are generated using a linearized formulation of the retrieval transfer function, allowing an efficient and physically consistent evaluation of the sensitivity of the two instruments to atmospheric temperature and water vapor profiles. The analysis reveals a non-negligible sensitivity of FORUM to atmospheric temperature extending into the stratosphere, resulting in significant information content at altitudes higher than previously reported. This finding highlights the potential of far-infrared observations to contribute to atmospheric temperature profiling beyond the lower troposphere. The complementary capabilities of FORUM and IASI-NG suggest that their combined use can enhance the characterization of the atmospheric thermal structure. These results represent a first step toward evaluating the potential role of FORUM Level-2 products in future numerical weather prediction applications. Full article
(This article belongs to the Section Atmospheric Techniques, Instruments, and Modeling)
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20 pages, 578 KB  
Article
Event-Triggered Synchronization of T-S Fuzzy Neural Network with Quantized Encoding–Decoding Mechanism
by Yuanzheng Tan, Xinyu Yuan, Yang Yang, Lechao Wang and Yushun Tan
Mathematics 2026, 14(6), 1081; https://doi.org/10.3390/math14061081 (registering DOI) - 23 Mar 2026
Abstract
This paper investigates dynamic event-triggered control (DETC) and encoding–decoding schemes to achieve the synchronization of T-S fuzzy neural networks (FNNs). DETC allows the transmission signals to be controlled aperiodically during the actual operation of the system, enabling a rapid response to practical control [...] Read more.
This paper investigates dynamic event-triggered control (DETC) and encoding–decoding schemes to achieve the synchronization of T-S fuzzy neural networks (FNNs). DETC allows the transmission signals to be controlled aperiodically during the actual operation of the system, enabling a rapid response to practical control tasks. Meanwhile, during the event-triggered control process, an encoding–decoding scheme with externally injected noise is used to protect the signals. First, a dynamic event-triggered control mechanism is established, and an encoding–decoding scheme is used to optimize the transmission of controller signals. Subsequently, the Lyapunov–Krasovskii functional is constructed to derive the system’s synchronization criteria and calculate the controller gains. Finally, numerical simulation experiments are conducted to verify the effectiveness and feasibility of the proposed method. Full article
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29 pages, 48057 KB  
Article
Study on the Mechanisms of Hard Roof Instability and Rock Burst Under Faults
by Wenhao Guo, Haonan Liu, Chaorui Jiang, Weiming Guan, Yingyuan Wen, Anye Cao, Songwei Wang, Lizhen Xu and Zhen Lv
Symmetry 2026, 18(3), 542; https://doi.org/10.3390/sym18030542 (registering DOI) - 23 Mar 2026
Abstract
Rock bursts frequently occur in the fault group area in China, seriously restricting the safe and efficient production of coal mines. Based on field investigation, physical experiments, and numerical simulation, this study investigates the rupture types and spatial evolution of microseismic events during [...] Read more.
Rock bursts frequently occur in the fault group area in China, seriously restricting the safe and efficient production of coal mines. Based on field investigation, physical experiments, and numerical simulation, this study investigates the rupture types and spatial evolution of microseismic events during the excavation of working face through fault group areas in the TB Coal Mine, where the hard roof asymmetric is cut by faults. It reveals the cooperative instability mechanism of faults and hard roof, as well as the mechanisms of rock burst. Targeted rock burst prevention measures are proposed, including “roof blasting to cut off dynamic and static load transfer” and “coal blasting to reduce abutment stress”. The results demonstrate the following: (1) during mining in fault group areas, the synchronous activation of faults induces shear-type and high-energy microseismic events and the subsequent movement of hard roof, which has been cut by faults, forms asymmetric parallelograms and symmetric inverted trapezoids, and induces tensile-type and high-energy microseismic events. The synchronous activation of faults and the breaking of the hard roof are identified as the primary reason for high-energy microseismic events. (2) As the fault dip angle approaches 90º, the compressive strength of the fault-segmented hard roof strata decreases. Under synchronous activation of faults, roof failure concentrates in the central, right, and left sections for fault combinations with dip angles of 70° + 70°, 90° + 70°, and 110° + 70°, respectively. (3) Numerical simulations reveal two rock burst mechanisms in faults—hard roof systems: a forward “high dynamic stress and high static stress” type and a rear “low dynamic stress and high static stress “ type, which is consistent with in situ monitoring data. (4) For the three stages in which the 502 working face approaches, passes through, and mines away from the fault group area, a stress relief scheme combining roof blasting and coal blasting is proposed. Compared with the 501 working face, during the mining of the 502 working face, the total microseismic frequency and energy decreased by 71.9% and 87.9%, respectively, and the effectiveness of these measures is verified. Full article
(This article belongs to the Section Engineering and Materials)
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26 pages, 646 KB  
Article
Stability and Direction of Hopf Bifurcation with Optimal Control Analysis of HIV Transmission Dynamics
by Ibraheem M. Alsulami and Fahad Al Basir
Mathematics 2026, 14(6), 1079; https://doi.org/10.3390/math14061079 - 23 Mar 2026
Abstract
In this study, we examine the effectiveness of combining interleukin-2 (IL-2) with highly active antiretroviral therapy (HAART) in controlling HIV replication. A mathematical model of the immune system is developed to analyze immune recovery when IL-2 is administered alongside HAART. We investigate the [...] Read more.
In this study, we examine the effectiveness of combining interleukin-2 (IL-2) with highly active antiretroviral therapy (HAART) in controlling HIV replication. A mathematical model of the immune system is developed to analyze immune recovery when IL-2 is administered alongside HAART. We investigate the stability of the endemic equilibrium and Hopf bifurcation and determine the direction and stability of periodic solutions using center manifold theory. Numerical simulations are conducted to support the theoretical findings. The results show that the disease-free equilibrium is stable when the basic reproduction number R0<1, while the endemic equilibrium exists when R0>1. Our results also reveal the presence of a subcritical Hopf bifurcation in the system. An optimal control problem is also studied, showing that the combined therapy of IL-2 and HAART improves treatment outcomes, reduces side effects, and has a unique optimal control pair. Sensitivity analysis further highlights the importance of system parameters in influencing treatment effectiveness. Full article
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24 pages, 19961 KB  
Article
Spatial Distribution and Influencing Factors of Speech Intelligibility in Round-Table Conversation Scenarios
by Lingling Liu, Linda Liang, Kangying Huang, Miao Ren and Yang Song
Buildings 2026, 16(6), 1258; https://doi.org/10.3390/buildings16061258 - 23 Mar 2026
Abstract
Round-table conversations, as common social environments, greatly depend on effective verbal communication to enrich the interactive experience. However, considerable variations in speech intelligibility (SI) occur among listeners at different positions under negative factors. This study employed numerical simulations, in situ measurements, and subjective [...] Read more.
Round-table conversations, as common social environments, greatly depend on effective verbal communication to enrich the interactive experience. However, considerable variations in speech intelligibility (SI) occur among listeners at different positions under negative factors. This study employed numerical simulations, in situ measurements, and subjective listening tests to evaluate the main factors affecting SI, and quantified SI using the Speech Transmission Index (STI) and Speech Reception Threshold (SRT). The results demonstrate that SI varies with listener position, with the extent of these variations surpassing expectations. The listeners closer to the speaker have a significantly greater SI than those across the table, with STI variations reaching 0.55 in the free field and 0.23 (SRT variations up to 3.1 dB) in the actual room. Both speaker orientation and listener head orientation greatly influence SI distribution and its positional sensitivity. Furthermore, the overall STI among listeners decreases by no more than 0.2 for each increase in table diameter. Overall, the trend of the change in SI in the actual room is essentially consistent with those in the free field, but reflections improve SI for listeners in less favorable positions. These findings reveal SI distribution patterns in round-table scenarios, providing evidence and insights for future research. Full article
(This article belongs to the Section Building Energy, Physics, Environment, and Systems)
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25 pages, 13415 KB  
Article
Microstructure and Mechanical Performance of 3D-Printed Carbon Fibre—PLA-PHA Composites
by David Bassir and Sofiane Guessasma
Polymers 2026, 18(6), 771; https://doi.org/10.3390/polym18060771 (registering DOI) - 23 Mar 2026
Abstract
This research delves into the impact of varying printing angles in the range (0°, 15°, 30°, 45°) on the thermal and mechanical characteristics of carbon fibre–PLA/PHA composites fabricated via fused filament fabrication (FFF). The microstructural arrangement within the 3D-printed PLA/PHA is unveiled through [...] Read more.
This research delves into the impact of varying printing angles in the range (0°, 15°, 30°, 45°) on the thermal and mechanical characteristics of carbon fibre–PLA/PHA composites fabricated via fused filament fabrication (FFF). The microstructural arrangement within the 3D-printed PLA/PHA is unveiled through the application of SEM, X-ray microtomography and optical imaging. Tensile loading conditions are employed to extract meaningful mechanical parameters such as Young’s modulus, tensile strength, elongation at break, and mechanical energy, all of which are associated with the printing angle settings. The results indicate that the filaments exhibit a porosity of approximately 3%, while the porosity of the printed structure ranges from 27% to 38%, depending on the printing angle. Tensile modulus in the range 840 to 890 MPa is found not to be highly sensitive to the printing angle. However, tensile strength reaches 37 MPa for a printing angle of 30°. The variations across conditions are limited to approximately 6% in tensile stiffness and 16% in tensile strength. Finite element simulations based on 3D imaging indicate that an effective modulus of the solid phase between 1.6 and 1.8 GPa provides the closest agreement between experimental measurements and numerical predictions. This study presents novel findings concerning the deformation mechanisms associated with different length scales, from filament composite to filament arrangement, in the carbon fibre–PLA/PHA composite. This study highlights that while printing angle has a moderate influence on mechanical response, the overall structural integrity and interlayer cohesion of carbon fibre–PLA/PHA composites remain robust across a wide range of processing parameters, demonstrating their potential for reliable structural applications in additive manufacturing. Full article
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49 pages, 8802 KB  
Article
An Efficient Solver for Fractional Diffusion on Unbounded Combs with Exact Absorbing Boundary Conditions
by Jingyi Mo, Guitian He, Yan Tian and Hui Cheng
Fractal Fract. 2026, 10(3), 208; https://doi.org/10.3390/fractalfract10030208 - 23 Mar 2026
Abstract
Despite its importance in modeling subdiffusion in fractal and heterogeneous media, a rigorous and computational scheme for solving the fractional diffusion equation on generalized comb structures over unbounded domains has remained elusive, mainly due to the nonlocal memory effect and slow spatial decay [...] Read more.
Despite its importance in modeling subdiffusion in fractal and heterogeneous media, a rigorous and computational scheme for solving the fractional diffusion equation on generalized comb structures over unbounded domains has remained elusive, mainly due to the nonlocal memory effect and slow spatial decay of solutions. To the best of our knowledge, we address this long-standing gap by presenting a fully integrated framework that simultaneously resolves both challenges. We derive the governing equation from constitutive relations and establish exact absorbing boundary conditions (ABCs) for the multi-skeleton comb model, a result absent in prior work. A transparent Dirichlet-to-Neumann (DtN) map, constructed via Laplace analysis, rigorously handles skeletal Dirac delta singularities and eliminates spurious reflections without empirical parameters. Furthermore, we propose a novel structure-preserving finite difference scheme that applies the sum-of-exponentials (SOE) approximation not only to the interior Caputo derivative but also to the convolution kernels arising from the ABCs. This yields a dramatic reduction in computational complexity, from quadratic O(Nt2) to quasi-linear O(NtlogNt), while preserving the physics of anomalous transport. We prove the well-posedness, unconditional stability, and convergence of the method. Numerical results confirm theoretical error estimates and show excellent agreement between simulated particle distributions, mean square displacement profiles, and exact asymptotics, validating both accuracy and robustness. The speedup (CPU time ratio Direct/Fast) is about 1.00×1.23× for Nt=5000 in our tests. Our approach sets a new benchmark for simulating anomalous dynamics in fractal-inspired media. Full article
(This article belongs to the Section Numerical and Computational Methods)
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31 pages, 5309 KB  
Article
Analysis of Embankment Seepage Responses Based on Physics-Informed Neural Networks Surrogate Model
by Cekai Fu, Qiang Wang, Chenfei Shao, Yanxin Xu and Sen Zheng
Water 2026, 18(6), 749; https://doi.org/10.3390/w18060749 (registering DOI) - 23 Mar 2026
Abstract
Accurate and efficient analysis of embankment seepage is of vital importance for scientific assessment of embankment safety. Conventional numerical simulation techniques for embankment seepage analysis suffer from high computational cost and low efficiency. To address this issue, this paper proposes an embankment seepage [...] Read more.
Accurate and efficient analysis of embankment seepage is of vital importance for scientific assessment of embankment safety. Conventional numerical simulation techniques for embankment seepage analysis suffer from high computational cost and low efficiency. To address this issue, this paper proposes an embankment seepage response analysis method based on physical information neural network (PINN). Initially, this method considering the fluid–solid coupling and spatial variability of soil parameters of the embankment. Consequently, a numerical simulation method was developed using the finite difference method to analyze the seepage response. On this basis, a neural network loss function for the surrogate model is introduced by integrating the governing equations for fluid–solid coupling of embankments with boundary conditions. This integration incorporates physical restrictions into the seepage analysis, hence improving its interpretability. Furthermore, a feature sequence is derived from the soil parameter field via a Variational Autoencoder (VAE) to diminish input dimensionality and improve training accuracy. The feature sequence and hydraulic loading function as the model input, while the output is the piezometric head obtained from the pore water pressure. The PINN model is trained by numerical simulation results to establish the surrogate model for seepage responses analysis. A case study on the practical embankment engineering is employed to confirm the feasibility and efficacy of the proposed strategy. Comparative tests demonstrate that the PINN surrogate model markedly enhances computational accuracy relative to conventional baseline models. Overall, this approach offers a trustworthy and effective method for rapid and accurate assessment of embankment seepage characteristics. Full article
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22 pages, 2758 KB  
Article
A General Framework for Determining a Target Failure Mechanism in Frame Structures
by Yue Wei and Congzhen Xiao
Buildings 2026, 16(6), 1255; https://doi.org/10.3390/buildings16061255 - 22 Mar 2026
Abstract
Guiding structural failure toward a prescribed failure mechanism can significantly mitigate the risk of collapse under extreme seismic action. However, quantitative criteria for identifying the target failure mechanism remain underdeveloped. To fill the gap, this work proposes a general framework for determining a [...] Read more.
Guiding structural failure toward a prescribed failure mechanism can significantly mitigate the risk of collapse under extreme seismic action. However, quantitative criteria for identifying the target failure mechanism remain underdeveloped. To fill the gap, this work proposes a general framework for determining a target failure mechanism in frame structures. First, a generalized lateral failure mechanism is introduced and rigorously defined. Second, a topology-based search algorithm is developed to identify the minimal cut sets of failure mechanisms. On this basis, a two-stage evaluation procedure is proposed to identify the governing failure mechanism via the upper-bound theorem and subsequently determine the target failure mechanism through a max–min capacity criterion. Finally, 36 case studies covering three frame topologies are investigated. Results indicate that: (1) the selection of the target mechanism should be case-specific rather than determined solely by engineering intuition; (2) the target mechanism is controlled by structural topology, design constraints, and inter-story height distribution; and (3) across all topologies, increasing γ(0) consistently shifts the selected target failure mechanisms toward configurations with a lower proportion of column hinges. Numerical pushover validation further confirms the mechanical consistency of the proposed framework, with the ultimate capacities obtained from the proposed method agreeing well with nonlinear simulation results. The proposed framework provides a theoretical basis and practical tools for failure-mechanism-based seismic design, with implications for improving structural safety and reliability. Full article
(This article belongs to the Section Building Structures)
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26 pages, 5205 KB  
Article
A Comprehensive Design Methodology for Temperature Control and Crack Prevention in Arch–Gravity Dams
by Hao Nie, Kaijia Yu and Jian Wang
Appl. Sci. 2026, 16(6), 3068; https://doi.org/10.3390/app16063068 - 22 Mar 2026
Abstract
Arch–gravity dams feature both arch action and large concrete volume, yet targeted research on temperature control and crack prevention for this type remains insufficient. To address this, a Two-Parameter Decision Chart Method for predicting allowable placing temperature, an Analytical–Numerical Hybrid Estimation Method for [...] Read more.
Arch–gravity dams feature both arch action and large concrete volume, yet targeted research on temperature control and crack prevention for this type remains insufficient. To address this, a Two-Parameter Decision Chart Method for predicting allowable placing temperature, an Analytical–Numerical Hybrid Estimation Method for estimating cooling durations, and the Comprehensive Cracking Risk Index (CCRI) for assessing lifecycle concrete safety are proposed, forming a complete design methodology. A case study on a proposed project using full-process simulation quantitatively evaluates the contribution of various measures in mitigating thermal stress across dam zones. Results show that without measures, the CCRI values for interior and surface concrete reach 68.9% and 38.1%, respectively. After implementing combined optimization measures targeting the control of maximum temperature, final temperature before grouting, and internal–external temperature difference throughout the entire process, both CCRI values are reduced to zero. Contribution analysis reveals distinct zonal effectiveness: for interior concrete, low-temperature placement with first-stage cooling contributes most (59.9%); for surface concrete, second- and third-stage cooling dominates (72.7%). Therefore, in practical engineering applications for temperature control and crack prevention in arch–gravity dams, a combination of measures centered on controlling the maximum temperature, optimizing the cooling process, and enhancing surface insulation should be adopted based on the characteristics of interior and surface zones, thereby improving cracking safety. Full article
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16 pages, 2591 KB  
Article
Experimental and Numerical Study on Discharge Mechanisms of Section Insulators at High Altitude with Structural and Surface Coating Optimization
by Jixing Sun, Yide Liu, Dong Lei, Jiawei Wang, Tong Xing, Kun Zhang and Jiuding Tan
Coatings 2026, 16(3), 390; https://doi.org/10.3390/coatings16030390 (registering DOI) - 22 Mar 2026
Abstract
With the rapid development of electrified railways in high-altitude regions, section insulators in catenary systems frequently experience gap breakdown and surface flashover under low atmospheric pressure conditions, posing serious threats to safe train operation. This paper investigates the discharge mechanisms of section insulators [...] Read more.
With the rapid development of electrified railways in high-altitude regions, section insulators in catenary systems frequently experience gap breakdown and surface flashover under low atmospheric pressure conditions, posing serious threats to safe train operation. This paper investigates the discharge mechanisms of section insulators in high-altitude environments and conducts research on discharge characteristics under extremely non-uniform electric fields, along with structural optimization. First, the physical mechanisms of gap discharge and surface flashover in section insulators are analyzed. A three-dimensional electric field simulation model of the section insulator is established, and numerical analysis is performed to reveal the electric field distribution characteristics. The results indicate that the electric field is predominantly concentrated at the junction between metal electrodes and insulators, as well as at the tip of the arcing horn. The local maximum field strength reaches 3.84 × 105 V/m, exceeding the corona inception field strength of air, which readily induces discharge. Subsequently, power frequency and lightning impulse discharge tests are conducted in both plain region and regions at an altitude of 4300 m. The results show that under high-altitude conditions, the power frequency breakdown voltage decreases by 28%, and the 50% lightning impulse breakdown voltage decreases by 42%. The discharge voltages under standard atmospheric conditions are obtained through correction. Finally, optimization schemes involving arcing horn structural modification and surface coating application are proposed. Adjusting the arcing horn angle to 55° and adding a grading ring structure with a radius of 70 mm reduces the local maximum field strength by 26%. After applying an RTV insulating coating, the field strength at the junction decreases by 35.9%, effectively enhancing the insulation performance of section insulators in high-altitude regions. Full article
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31 pages, 629 KB  
Article
The One-Parameter Bounded p-Exponential Distribution: Properties, Inference, and Applications
by Hassan S. Bakouch, Hugo S. Salinas, Fernando A. Moala, Tassaddaq Hussain, Shaykhah Aldossari and Alanwood Al-Buainain
Mathematics 2026, 14(6), 1076; https://doi.org/10.3390/math14061076 (registering DOI) - 22 Mar 2026
Abstract
We introduce the one-parameter bounded p-exponential distribution on (0, p+1), which includes the uniform model as a special case and converges pointwise to the exponential law as p. Closed-form expressions are derived [...] Read more.
We introduce the one-parameter bounded p-exponential distribution on (0, p+1), which includes the uniform model as a special case and converges pointwise to the exponential law as p. Closed-form expressions are derived for the CDF and PDF, the survival function, an explicit increasing-failure-rate hazard function, the quantile function (enabling inversion-based simulation), moments, and entropy, along with a constructive scaled beta or Kumaraswamy representation. We also establish stochastic ordering with respect to p in stop-loss and increasing convex order, formalizing how dispersion varies with the parameter while preserving the mean scale. Inference is discussed under parameter-dependent support, a non-regular setting, and we develop and compare several estimation procedures, including a likelihood-based boundary MLE, a variance-matching method-of-moments estimator, and Bayesian estimation under a gamma prior implemented via numerical quadrature or MCMC. Monte Carlo simulation studies evaluate finite-sample performance and interval behavior, and two real-world applications in survival and reliability analysis illustrate competitive goodness-of-fit relative to standard benchmark models. Full article
(This article belongs to the Special Issue New Advances in Mathematical Applications for Reliability Analysis)
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30 pages, 2519 KB  
Article
Super-Twisting-Based Online Learning in High-Order Neural Networks for Robust Backstepping Control of DC Motors Under Uncertainty
by Ivan R. Urbina Leos, Jesus A. Medrano Hermosillo, Abraham E. Rodriguez Mata, Francisco R. Lopez-Estrada, Oscar J. Suarez and Alma Alejandra Luna-Gómez
Processes 2026, 14(6), 1019; https://doi.org/10.3390/pr14061019 - 22 Mar 2026
Abstract
This paper addresses the speed control problem of a DC motor in the presence of nonlinearities, disturbances, and unmodeled dynamics by proposing a neural backstepping control scheme based on a Recurrent High-Order Neural Network (RHONN). The proposed RHONN serves as an online approximator [...] Read more.
This paper addresses the speed control problem of a DC motor in the presence of nonlinearities, disturbances, and unmodeled dynamics by proposing a neural backstepping control scheme based on a Recurrent High-Order Neural Network (RHONN). The proposed RHONN serves as an online approximator to compensate for uncertain nonlinear dynamics in a PD-based backstepping controller, enabling the system to handle disturbances, modeling errors, and unmodeled dynamics. Instead of relying on the traditional Extended Kalman Filter (EKF) for RHONN weight adaptation, the neural parameters are updated online using a Super-Twisting Algorithm (STA). As a result, the proposed STA-based learning law provides a simpler and robust covariance-free adaptation mechanism with practical finite-time convergence properties, making it suitable for real-time embedded implementations. The proposed method was evaluated through numerical simulations and implemented on an embedded microcontroller to assess its real-time performance. Simulation results show reductions between 0.04% and 2.04% in steady-state and integral error metrics compared with a tuned PD controller, and improvements up to 25.66% and 23.82% over LQR and MPC in the IMSE index. Experimental results demonstrate good tracking performance, robustness under varying load conditions, and low computational requirements, confirming the practical feasibility. Full article
(This article belongs to the Special Issue Advances in Electrical Drive Control Methodologies)
20 pages, 10684 KB  
Article
Control and Synchronization of Julia Sets of the Discrete Three-Dimensional Fractional HCV Model
by Miao Ouyang, Yang Chen, Yuan Jiang, Junhua Li and Shutang Liu
Fractal Fract. 2026, 10(3), 207; https://doi.org/10.3390/fractalfract10030207 - 22 Mar 2026
Abstract
This paper investigates the fractal dynamical behavior of a discrete Caputo fractional-order hepatitis C virus model. First, we analyze the stability of the system by using spectral radius and design the fractional-order controller based on coordinate transformation. Then, a nonlinear coupling controller is [...] Read more.
This paper investigates the fractal dynamical behavior of a discrete Caputo fractional-order hepatitis C virus model. First, we analyze the stability of the system by using spectral radius and design the fractional-order controller based on coordinate transformation. Then, a nonlinear coupling controller is constructed to achieve synchronization between two fractional-order models with different parameters and different fractional orders, and the synchronization is supported by rigorous mathematical proof. Numerical simulations are used to verify the effectiveness of control and synchronization. Full article
(This article belongs to the Special Issue Advances in Dynamics and Control of Fractional-Order Systems)
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21 pages, 31208 KB  
Article
Simulation and Performance Analysis of a Plateau-Adapted Five-Bed Portable Vacuum Pressure Swing Adsorption Oxygen Production System
by Ping Wu and Jianjun Li
Processes 2026, 14(6), 1020; https://doi.org/10.3390/pr14061020 - 22 Mar 2026
Abstract
To address the decline in oxygen production capacity and the increase in specific energy consumption of portable vacuum pressure swing adsorption (VPSA) oxygen systems under high-altitude low-pressure conditions, a rotary-valve integrated VPSA numerical model based on a five-bed, ten-step cycle was established in [...] Read more.
To address the decline in oxygen production capacity and the increase in specific energy consumption of portable vacuum pressure swing adsorption (VPSA) oxygen systems under high-altitude low-pressure conditions, a rotary-valve integrated VPSA numerical model based on a five-bed, ten-step cycle was established in this study and analyzed on the Aspen Adsorption platform. The results show that, under a trade-off between oxygen purity and recovery, an oxygen purity of 93.1% and an oxygen recovery of 27.8% can be achieved when the purge-valve flow coefficient is 6.67×105kmol/(h·bar). When the product-valve flow coefficient is 0.028mol·s1·MPa1 and the altitude increases from 3000 m to 4500 m, the oxygen production rate decreases by about 22%, while the specific energy consumption increases by about 32.4%. This indicates that the reduction in oxygen partial pressure has a significant effect on the separation driving force. As the product-valve flow coefficient increases from 0.010 to 0.037mol·s1·MPa1, the oxygen production rate continuously increases and the specific energy consumption decreases at all altitude conditions. At an altitude of 3000 m, for example, the oxygen production rate increases from 0.12m3·h1 to 0.176m3·h1, while the specific energy consumption decreases from 3.58MJ·m3 to 2.93MJ·m3. The effect of feed flow rate on specific energy consumption shows a trend of first decreasing and then increasing. The minimum energy consumption is obtained in the range of 18–20L/min. These results provide a theoretical basis for parameter matching and energy-efficiency optimization of multi-bed rotary-valve VPSA systems under high-altitude conditions. Full article
(This article belongs to the Section Separation Processes)
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