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623 Results Found

  • Article
  • Open Access
1 Citations
1,143 Views
24 Pages

24 October 2025

The large-scale integration of renewable energy sources introduces significant uncertainty into modern power systems, posing new challenges for reliable and economical operation. Effective scheduling therefore requires accurate monitoring of uncertai...

(This article belongs to the Special Issue Advanced Sensors and Artificial Intelligence for Condition Monitoring of Power Electronic Systems)
  • Article
  • Open Access
507 Views
29 Pages

16 January 2026

This paper introduces a novel output constraint satisfaction mechanism that can be used to supplement controllers employing a control law. This mechanism is dedicated to control systems of nonlinear processes, with this additional feature. It utilize...

(This article belongs to the Special Issue Enhancing User Experience in Automation and Control Systems)
  • Article
  • Open Access
51 Citations
10,343 Views
25 Pages

A Modified Fletcher–Reeves Conjugate Gradient Method for Monotone Nonlinear Equations with Some Applications

  • Auwal Bala Abubakar,
  • Poom Kumam,
  • Hassan Mohammad,
  • Aliyu Muhammed Awwal and
  • Kanokwan Sitthithakerngkiet

15 August 2019

One of the fastest growing and efficient methods for solving the unconstrained minimization problem is the conjugate gradient method (CG). Recently, considerable efforts have been made to extend the CG method for solving monotone nonlinear equations....

(This article belongs to the Special Issue Iterative Methods for Solving Nonlinear Equations and Systems)
  • Article
  • Open Access
2,473 Views
24 Pages

Bayesian Regression Analysis for Dependent Data with an Elliptical Shape

  • Yian Yu,
  • Long Tang,
  • Kang Ren,
  • Zhonglue Chen and ,
  • Shengdi Chen and
  • Jianqing Shi
  • + 1 author+ 0 author

9 December 2024

This paper proposes a parametric hierarchical model for functional data with an elliptical shape, using a Gaussian process prior to capturing the data dependencies that reflect systematic errors while modeling the underlying curved shape through a vo...

(This article belongs to the Special Issue Statistical Methods for Modeling High-Dimensional and Complex Data: Second Edition)
  • Article
  • Open Access
5 Citations
2,864 Views
21 Pages

21 September 2022

With the development of spaceborne processing technologies, the demand for on-board processing has risen sharply. Against this background, spaceborne Interferometric Synthetic Aperture Radar (InSAR) processing has become an important research area. I...

  • Article
  • Open Access
29 Citations
7,059 Views
24 Pages

18 January 2021

This study establishes a vertical–horizontal coupling vibration model of hot rolling mill rolls under multi-piecewise nonlinear constraints considering the piecewise nonlinear spring force and piecewise nonlinear friction force constraints of t...

  • Article
  • Open Access
10 Citations
2,353 Views
12 Pages

A Nonlinear Multigrid Method for the Parameter Identification Problem of Partial Differential Equations with Constraints

  • Tao Liu,
  • Jiayuan Yu,
  • Yuanjin Zheng,
  • Chao Liu and ,
  • Yanxiong Yang and
  • Yunfei Qi
  • + 1 author+ 0 author

15 August 2022

In this paper, we consider the parameter identification problem of partial differential equations with constraints. A nonlinear multigrid method is introduced to the process of parameter inversion. By keeping the objective functions on coarse grids c...

(This article belongs to the Special Issue Inverse Problems and Imaging: Theory and Applications)
  • Article
  • Open Access
3 Citations
3,942 Views
15 Pages

Iterative Truncated Unscented Particle Filter

  • Yanbo Wang,
  • Fasheng Wang,
  • Jianjun He and
  • Fuming Sun

16 April 2020

The particle filter method is a basic tool for inference on nonlinear partially observed Markov process models. Recently, it has been applied to solve constrained nonlinear filtering problems. Incorporating constraints could improve the state estimat...

(This article belongs to the Section Artificial Intelligence)
  • Article
  • Open Access
27 Citations
5,385 Views
25 Pages

An Efficient Conjugate Gradient Method for Convex Constrained Monotone Nonlinear Equations with Applications

  • Auwal Bala Abubakar,
  • Poom Kumam,
  • Hassan Mohammad and
  • Aliyu Muhammed Awwal

21 August 2019

This research paper proposes a derivative-free method for solving systems of nonlinear equations with closed and convex constraints, where the functions under consideration are continuous and monotone. Given an initial iterate, the process first gene...

(This article belongs to the Special Issue Iterative Methods for Solving Nonlinear Equations and Systems)
  • Article
  • Open Access
2 Citations
941 Views
23 Pages

Ensuring Safe Physical HRI: Integrated MPC and ADRC for Interaction Control

  • Gao Wang,
  • Zhihai Lin,
  • Feiyan Min,
  • Deping Li and
  • Ning Liu

12 December 2025

This paper proposes a safety-constrained interaction control scheme for robotic manipulators by integrating model predictive control (MPC) and active disturbance rejection control (ADRC). The proposed method is specifically designed for manipulators...

(This article belongs to the Special Issue Motion Planning, Trajectory Prediction, and Control for Robotics)
  • Article
  • Open Access
2 Citations
2,879 Views
13 Pages

Optimisation of Segregation Distances between Electric Cable Bundles Embedded in a Structure

  • Jérôme Morio,
  • Isabelle Junqua,
  • Solange Bertuol and
  • Jean-Philippe Parmantier

18 February 2022

This paper presents the optimisation of the segregation distance between two electric cable bundles installed in an aircraft structure under electromagnetic compatibility constraints. We first describe the problem formulation where a probabilistic co...

(This article belongs to the Special Issue Aerospace System Analysis and Optimization)
  • Article
  • Open Access
3 Citations
2,581 Views
15 Pages

In this article, an event-triggered adaptive fuzzy finite-time dynamic surface control (DSC) is presented for a class of strict-feedback nonlinear fractional-order systems (FOSs) with full-state constraints. The fuzzy logic systems (FLSs) are employe...

(This article belongs to the Special Issue Fractional Order Controllers for Non-linear Systems)
  • Article
  • Open Access
2,310 Views
13 Pages

This paper is concerned with the adaptive neural network (NN) partial tracking control problem for a class of completely unknown multi-input multi-output (MIMO) singularly perturbed nonlinear systems possessing time-varying asymmetric state constrain...

(This article belongs to the Topic Advanced Systems Engineering: Theory and Applications)
  • Article
  • Open Access
5 Citations
2,883 Views
23 Pages

4 October 2022

For the bearing-only target motion analysis (TMA), the pseudolinear Kalman filter (PLKF) solves the complex nonlinear estimation of the motion model parameters but suffers serious bias problems. The pseudolinear Kalman filter under the minimum mean s...

(This article belongs to the Section Robotics and Automation)
  • Feature Paper
  • Article
  • Open Access
7 Citations
4,725 Views
23 Pages

3 September 2020

A simple yet effective optimization technique is developed to solve nonlinear conjugate heat transfer. The proposed Nonlinear Optimization with Replacement Strategy (NORS) is a mutation of several existing optimization processes. With the improvement...

(This article belongs to the Special Issue Modelling of Thermal and Energy Systems)
  • Article
  • Open Access
4 Citations
2,403 Views
18 Pages

Descent Derivative-Free Method Involving Symmetric Rank-One Update for Solving Convex Constrained Nonlinear Monotone Equations and Application to Image Recovery

  • Aliyu Muhammed Awwal,
  • Adamu Ishaku,
  • Abubakar Sani Halilu,
  • Predrag S. Stanimirović and ,
  • Nuttapol Pakkaranang and
  • Bancha Panyanak
  • + 1 author+ 0 author

10 November 2022

Many practical applications in applied sciences such as imaging, signal processing, and motion control can be reformulated into a system of nonlinear equations with or without constraints. In this paper, a new descent projection iterative algorithm f...

(This article belongs to the Special Issue Nonlinear Analysis and Its Applications in Symmetry II)
  • Article
  • Open Access
1 Citations
829 Views
20 Pages

A Computational Algorithm for Optimal Resource Allocation in Nonlinear Multi-Module Systems with Bilateral Constraints

  • Kamshat Tussupova,
  • Gulbanu Mirzakhmedova,
  • Diana Rakhimova and
  • Zhansaya Duisenbekkyzy

This study addresses the problem of optimal resource allocation in nonlinear multi-module dynamic systems arising in complex computational and techno-economic processes, where numerical stability and strict enforcement of structural constraints are c...

  • Article
  • Open Access
30 Citations
6,524 Views
26 Pages

To achieve the efficient and precise control of autonomous underwater vehicles (AUVs) in dynamic ocean environments, this paper proposes an innovative Gaussian-Process-based Model Predictive Control (GP-MPC) method. This method combines the advantage...

(This article belongs to the Special Issue Advancements in New Concepts of Underwater Robotics)
  • Article
  • Open Access
2 Citations
1,911 Views
16 Pages

20 August 2024

The problem of optimal synthesis of a nonlinear system’s control law parameters of satellite attitude control under constraints is considered. The maximum stability degree of a system is considered as an optimality criterion. The reaction wheel...

(This article belongs to the Section C2: Dynamical Systems)
  • Article
  • Open Access
1 Citations
1,985 Views
16 Pages

26 January 2025

This paper presents a class of proximal alternating direction multiplier methods for solving nonconvex, nonsmooth optimization problems with nonlinear coupled constraints. The key feature of the proposed algorithm is that we use a linearized proximal...

  • Article
  • Open Access
16 Citations
4,694 Views
15 Pages

16 March 2024

This study investigates a green multimodal routing problem with soft time window. The objective of routing is to minimize the total costs of accomplishing the multimodal transportation of a batch of goods. To improve the feasibility of optimization,...

(This article belongs to the Section Mathematical Analysis)
  • Article
  • Open Access
24 Citations
7,715 Views
18 Pages

Sensitivity-Based Economic NMPC with a Path-Following Approach

  • Eka Suwartadi,
  • Vyacheslav Kungurtsev and
  • Johannes Jäschke

27 February 2017

We present a sensitivity-based predictor-corrector path-following algorithm for fast nonlinear model predictive control (NMPC) and demonstrate it on a large case study with an economic cost function. The path-following method is applied within the ad...

(This article belongs to the Special Issue Real-Time Optimization)
  • Article
  • Open Access
2 Citations
2,800 Views
11 Pages

Second-Order Cone Approximation for Voltage Stability Analysis in Direct-Current Networks

  • Oscar Danilo Montoya,
  • Walter Gil-González and
  • Alexander Molina-Cabrera

24 September 2020

In this study, the voltage stability margin for direct current (DC) networks in the presence of constant power loads is analyzed using a proposed convex mathematical reformulation. This convex model is developed by employing a second-order cone progr...

(This article belongs to the Special Issue Symmetry in Renewable Energy and Power Systems)
  • Article
  • Open Access
6 Citations
3,577 Views
15 Pages

8 April 2023

Work-flow scheduling is for finding the allocation method to achieve optimal resource utilization. In the scheduling process, constraints, such as time, cost and quality, need to be considered. How to balance these parameters is a NP-hard problem, an...

  • Article
  • Open Access
7 Citations
3,610 Views
18 Pages

31 July 2020

Predictive controllers have been extensively studied and applied to electrical drives, mainly because they provide fast dynamic responses and are suitable for multi-variable control and non-linear systems. Many approaches perform the prediction and o...

(This article belongs to the Special Issue Design and Analysis of Electric Machines)
  • Article
  • Open Access
10 Citations
3,329 Views
12 Pages

17 December 2021

The nonlinear optical response of common materials is limited by bandwidth and energy consumption, which impedes practical application in all-optical signal processing, light detection, harmonic generation, etc. Additionally, the nonlinear performanc...

  • Article
  • Open Access
313 Views
38 Pages

2 October 2026

Amidst growing uncertainty regarding global sustainable development goals and the increasing complexity of social systems, accurately characterizing long-term transition processes driven by the interactions of multiple agents and factors remains a cr...

(This article belongs to the Section Artificial Intelligence and Digital Systems Engineering)
  • Article
  • Open Access
10 Citations
4,080 Views
19 Pages

Process operational safety plays an important role in designing control systems for chemical processes. Motivated by this, in this work, we develop a process Safeness Index-based economic model predictive control system for a broad class of stochasti...

(This article belongs to the Special Issue New Directions on Model Predictive Control)
  • Article
  • Open Access
4 Citations
3,194 Views
17 Pages

13 December 2019

In the transmission expansion planning (TEP) problem, it is challenging to consider a fault current level constraint due to the time-consuming update process of the bus impedance matrix, which is required to calculate the fault currents during the se...

(This article belongs to the Special Issue Machine Learning and Optimization with Applications of Power System II)
  • Article
  • Open Access
358 Views
29 Pages

HDE-CGWO-Based Optimal Load Frequency Control for Nonlinear Power Systems

  • Yaya Li,
  • Qing Hu,
  • Xingyue Liu,
  • Yu Jiang and ,
  • Xuanqi Liao and
  • Kaibo Shi
  • + 1 author+ 0 author

10 June 2026

In modern power-system load frequency control (LFC), proportional–integral–derivative (PID) controllers are widely used because of their simple structure and ease of implementation. However, the combined effects of communication delay and...

(This article belongs to the Section A1: Smart Grids and Microgrids)
  • Article
  • Open Access
16 Citations
4,128 Views
24 Pages

12 July 2019

The quick growth of energy consumption in urban rail transit has drawn much attention due to the pressure of both operational cost and environmental responsibilities. In this paper, the timetable is optimized with respect to the system cost of urban...

  • Article
  • Open Access
15 Citations
5,208 Views
16 Pages

17 February 2023

Soft growing robots, which mimic the biological growth of plants, have demonstrated excellent performance in navigating tight and distant environments due to their flexibility and extendable lengths of several tens of meters. However, controlling the...

(This article belongs to the Section Robotics and Automation)
  • Article
  • Open Access
2 Citations
1,763 Views
30 Pages

15 April 2026

Nonlinear model predictive control (NMPC) delivers high tracking accuracy for industrial processes but requires solving a nonlinear program at each sampling instant, limiting its applicability under tight real-time constraints. The Koopman operator p...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
7 Citations
3,575 Views
16 Pages

Self-Calibration for Star Sensors

  • Jingneng Fu,
  • Ling Lin and
  • Qiang Li

6 June 2024

Aiming to address the chicken-and-egg problem in star identification and the intrinsic parameter determination processes of on-orbit star sensors, this study proposes an on-orbit self-calibration method for star sensors that does not depend on star i...

(This article belongs to the Special Issue Advances in Optical Sensing, Instrumentation and Systems: 2nd Edition)
  • Article
  • Open Access
5 Citations
2,399 Views
16 Pages

10 April 2023

Time, cost, and quality are critical factors that impact the production of intelligent manufacturing enterprises. Achieving optimal values of production parameters is a complex problem known as an NP-hard problem, involving balancing various constrai...

(This article belongs to the Section AI-Enabled Process Engineering)
  • Article
  • Open Access
1 Citations
1,829 Views
15 Pages

Inverse Problem for the Nonlinear Convection–Diffusion Equation by Using the Multigrid Method and Constraint Data

  • Shuai Wang,
  • Shiyi Ling,
  • Heyang Chao,
  • Yunfei Qi and ,
  • Wenwen Zhang,
  • Qiang Ma and
  • Tao Liu
  • + 2 authors+ 0 author

1 August 2024

In the article, we propose a combination method based on the multigrid method and constraint data to solve the inverse problem in the context of the nonlinear convection–diffusion equation in the multiphase porous media flow. The inverse proble...

(This article belongs to the Special Issue Computational Methods in Analysis and Applications, 3rd Edition)
  • Feature Paper
  • Article
  • Open Access
9 Citations
4,458 Views
23 Pages

Multi Set-Point Explicit Model Predictive Control for Nonlinear Process Systems

  • Vassilis M. Charitopoulos,
  • Lazaros G. Papageorgiou and
  • Vivek Dua

2 July 2021

In this article, we introduce a novel framework for the design of multi set-point nonlinear explicit controllers for process systems engineering problems where the set-points are treated as uncertain parameters simultaneously with the initial state o...

(This article belongs to the Special Issue Expanding the Horizons of Manufacturing: Towards Wide Integration, Smart Systems and Tools)
  • Article
  • Open Access
2 Citations
2,604 Views
53 Pages

Investigations into the Design and Implementation of Reinforcement Learning Using Deep Learning Neural Networks

  • Roxana-Elena Tudoroiu,
  • Mohammed Zaheeruddin,
  • Daniel-Ioan Curiac,
  • Mihai Sorin Radu and
  • Nicolae Tudoroiu

16 March 2025

This paper investigates the design and MATLAB/Simulink implementation of two intelligent neural reinforcement learning control algorithms based on deep learning neural network structures (RL DLNNs), for a complex Heating Ventilation Air Conditioning...

(This article belongs to the Special Issue Machine Learning for Pattern Recognition (2nd Edition))
  • Article
  • Open Access
1 Citations
1,697 Views
15 Pages

Path Tracking of Autonomous Vehicle Based on Optimal Control

  • Bingshuai Wu,
  • Yingjie Liu and
  • Qianqian Wang

Path tracking control is a key technology in the research of intelligent vehicles. In the path tracking process of intelligent vehicles, there are multiple constraints and time-varying nonlinear system states. To address the problems of low tracking...

  • Article
  • Open Access
466 Views
23 Pages

Inverse fuzzy model control (IFMC) is an attractive strategy for regulating nonlinear thermal processes, where complex heat-transfer dynamics, disturbances, and actuator constraints challenge conventional control approaches. However, traditional dire...

  • Article
  • Open Access
3 Citations
1,228 Views
22 Pages

A Discrete-Time Neurodynamics Scheme for Time-Varying Nonlinear Optimization with Equation Constraints and Application to Acoustic Source Localization

  • Yinqiao Cui,
  • Zhiyuan Song,
  • Keer Wu,
  • Jian Yan and ,
  • Chuncheng Chen and
  • Daoheng Zhu
  • + 1 author+ 0 author

12 June 2025

Nonlinear optimization with equation constraints has wide applications in intelligent control systems, acoustic signal processing, etc. Thus, effectively tackling the nonlinear optimization problems with equation constraints is of great significance...

(This article belongs to the Special Issue Symmetry and Asymmetry in Intelligent Control and Computing)
  • Article
  • Open Access
1 Citations
1,645 Views
29 Pages

A Progressive Trigonometric Mixed Response Surface Method for Double-Loop Interval Optimization

  • Guanchao Zheng,
  • Wen Xu,
  • Mohd Khairol Anuar Bin Mohd Ariffin,
  • Nuraini Binti Abdul Aziz and
  • Siti Azfanizam Binti Ahmad

For some highly nonlinear problems, the general second-order response surface method (RSM) cannot satisfy the accuracy requirement. To improve accuracy, the highest order number has to be determined in advance. Thus, a progressive trigonometric mixed...

  • Article
  • Open Access
6 Citations
2,563 Views
17 Pages

Leader-Following Consensus of Discrete-Time Nonlinear Multi-Agent Systems with Asymmetric Saturation Impulsive Control

  • Qiao Yuan,
  • Guorong Chen,
  • Yuan Tian,
  • Yu Yuan and ,
  • Qian Zhang,
  • Xiaonan Wang and
  • Jingcheng Liu
  • + 2 authors+ 0 author

1 February 2024

Impulsive control is an effective approach for coordinating multi-agent systems in practical environments due to its high robustness and low cost. However, impulsive control exhibits characteristics such as high amplitude and rapid variation, potenti...

  • Article
  • Open Access
293 Views
35 Pages

Service Function Chain Deployment with Physical Isolation for Smart Grid Communication Private Networks

  • Bing Guo,
  • Haitong Gu,
  • Xingxing Feng,
  • Xiaoqiang Wu and ,
  • Jun Dong,
  • Zhuohang Yu,
  • Weidong Wang and
  • Quansheng Guan
  • + 3 authors+ 0 author

Smart grid private communication networks need to support heterogeneous services with varying requirements for reliability, security, bandwidth, and controllability. In such networks, service function chains (SFCs) can provide customized network serv...

(This article belongs to the Section Networks)
  • Article
  • Open Access
10 Citations
2,468 Views
27 Pages

A Soliton Solution for the Kadomtsev–Petviashvili Model Using Two Novel Schemes

  • Asghar Ali,
  • Sara Javed,
  • Muhammad Nadeem,
  • Loredana Florentina Iambor and
  • Sorin Mureşan

4 July 2023

Symmetries are crucial to the investigation of nonlinear physical processes, particularly the evaluation of a differential problem in the real world. This study focuses on the investigation of the Kadomtsev–Petviashvili (KP) model within a (3+1...

(This article belongs to the Special Issue Golden Mean Number System and Fractal Theory for Physics and Materials Science)
  • Article
  • Open Access
1,065 Views
19 Pages

3 May 2026

Steam conditioning is a key hydrothermal process for ensuring the quality of pelleted commercial swine compound feed. However, the molecular evolution of starch during processing remains poorly understood, particularly under the industrial constraint...

(This article belongs to the Section Animal System and Management)
  • Article
  • Open Access
8 Citations
3,518 Views
21 Pages

17 January 2021

A method for the advanced construction of the dynamic matrix for Model Predictive Control (MPC) algorithms with linearization is proposed in the paper. It extends numerically efficient fuzzy algorithms utilizing skillful linearization. The algorithms...

(This article belongs to the Special Issue Model Predictive Control: Algorithms and Applications)
  • Article
  • Open Access
16 Citations
3,589 Views
22 Pages

Comparison of Hybrid Machine Learning Approaches for Surrogate Modeling Part Shrinkage in Injection Molding

  • Manuel Wenzel,
  • Sven Robert Raisch,
  • Mauritius Schmitz and
  • Christian Hopmann

29 August 2024

Machine learning (ML) methods present a valuable opportunity for modeling the non-linear behavior of the injection molding process. They have the potential to predict how various process and material parameters affect the quality of the resulting par...

(This article belongs to the Section Artificial Intelligence in Polymer Science)
  • Article
  • Open Access
2,120 Views
18 Pages

30 April 2021

This work explores neural approximation for nonlinear dimensionality reduction mapping based on internal representations of graph-organized regular data supports. Given training observations are assumed as a sample from a high-dimensional space with...

(This article belongs to the Special Issue New Trends in Numerics and Dynamics of Artificial Neural Networks: Theory and Applications)
  • Article
  • Open Access
4 Citations
4,184 Views
18 Pages

17 July 2019

This paper presents a more active and efficient recycling investment strategy that considers the balances among the current production constraints, manufacturing profits, and recycling investments for a sustainable circular economy as compared to the...

(This article belongs to the Special Issue Sustainable Industrial Engineering along Product-Service Life Cycle/Supply Chain)

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