Article
Automation & Control Systems
Zhaowen Xu, Dan Cui, Yue Wang, Hongye Su, Haoyi Que, Wei Ning
Summary: This paper investigates the asynchronous control issue in continuous-time Markov jump nonlinear systems using an output-based sliding mode approach. A hidden Markov model is used as the mapping mechanism for the asynchronous phenomenon, contributing to the asynchronous sliding mode surface. Sufficient conditions are derived to ensure the mean-square stability of the sliding motion dynamics and its H-infinity noise attenuation performance. The reachability of the sliding surface is guaranteed by a well-defined reaching control law. A numerical example is presented to discuss the significance of the proposed asynchronous issue and verify the effectiveness of the control approach.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Mathematics, Applied
Bo Song, Ya Zhang, Ju H. Park
Summary: This paper investigates the H-infinity control problem for systems perturbed by jump random noise using martingale theory. By transforming models and designing a simple controller, the paper deals with systems driven by jump random noise. The design criterion includes information about random jump events, and a convex optimization algorithm is used to estimate the maximum average number of jump events the system can tolerate.
APPLIED MATHEMATICS AND COMPUTATION
(2021)
Article
Automation & Control Systems
Yun-Zhu Wang, Zhen Wang, Kai-Ning Wu, Chen-Xu Wang
Summary: This article discusses the exponential stabilization and H-infinity performance of delay reaction-diffusion systems with spatial and spatio-temporal sampled-data controllers. Criteria for stability and disturbance rejection are provided, and a novel Lyapunov functional and Halaney's inequality are used to overcome analysis difficulties. Results show that spatial sampling interval and time delay both affect system properties, with shorter intervals and smaller delays leading to easier achievement of desired stability properties.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2022)
Article
Automation & Control Systems
Wei-Jie Zhou, Min Long, Xiao-Zhen Liu, Kai-Ning Wu
Summary: This paper investigates the passivity-based boundary control problem for stochastic delay reaction-diffusion systems with boundary input-output. Delay-dependent sufficient conditions are obtained to ensure the stability and robustness of the system using Lyapunov functional method and stochastic inequality techniques. Numerical simulations are provided to validate the effectiveness of the proposed theoretical results.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2023)
Article
Mathematics, Applied
Shanrong Lin, Xiwei Liu, Yanli Huang
Summary: This paper investigates event-triggered synchronization and H-infinity synchronization for two types of coupled delayed reaction-diffusion memristive neural networks (CDRDMNNs). Firstly, synchronization and H-infinity synchronization conditions are obtained for CDRDMNNs with state coupling using Lyapunov stability theory and appropriate event-triggered controllers. Then, event-triggered synchronization and H-infinity synchronization for CDRDMNNs with spatial diffusion coupling are studied. Finally, the proposed synchronization and H-infinity synchronization results are verified through numerical examples.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Automation & Control Systems
Hao Shen, Xuelian Wang, Peiyong Duan, Jinde Cao, Jing Wang
Summary: This article addresses the bipartite synchronization problem in coupled switching neural networks with cooperative-competitive interactions and reaction-diffusion terms. By designing a synchronization controller and establishing stability criteria, the effectiveness of the proposed method is verified.
IEEE TRANSACTIONS ON CYBERNETICS
(2023)
Article
Automation & Control Systems
Yanfang Lei, Junmin Li
Summary: This paper focuses on stabilizing parabolic systems with time-varying delay, external disturbance, and nonlinear periodic time-varying parameter (NPTVP). A neural networks (NNs) approximator is designed using Fourier series expansion (FSE) method and NNs approximation technology to describe the uncertain dynamic term with NPTVP. Two robust adaptive neural network control (RANNC) algorithms are then designed based on adaptive control theory, NNs approximation technology, and reparameterization method to achieve asymptotic stability and prescribed adaptive H-infinity performance of disturbance attenuation. Sufficient conditions for the stability and performance requirements of the resulting closed-loop systems are derived, and simulations are carried out to verify the effectiveness of the proposed RANNC algorithms.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Automation & Control Systems
Daniel S. Campos, Joao B. R. do Val
Summary: The article presents an H-infinity-norm theory for stochastic systems in the CSVIU class. It introduces the concept of H-infinity control with infinite energy disturbance signals to accurately represent persistent perturbations in the environment. The article establishes a refined connection between stability and system power finiteness, and utilizes the relations between H-infinity optimization and differential games to analyze the worst-case stability of CSVIU systems.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Mathematics, Interdisciplinary Applications
Fengyi Liu, Yongqing Yang, Fei Wang, Lingzhong Zhang
Summary: This paper investigates the synchronization problem of fractional-order reaction-diffusion neural networks (FRDNNs) with Markov parameter jumping. Asynchronous boundary quantization control is applied to achieve the driven response synchronization of the proposed Markov FRDNNs. The proposed control method is more economical and easier to implement than distributed control strategies.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Automation & Control Systems
Hanxiao Zhao, Jiayong Zhang, Wei Li, Chao Ge, Yajuan Liu
Summary: This article considers the problem of H-infinity synchronization for uncertain chaotic systems with time-varying delay controlled by random sampling. The variable sampling period switches stochastically between different values with given probability. In addition, disturbance and parameter uncertainty are taken into account. By using the input delay method, the chaotic Lur'e systems with probability sampling are converted to a continuous system. A novel Lyapunov-Krasovskii functional is proposed based on the Lyapunov-Krasovskii functional theory. Sufficient conditions are obtained using the reciprocal convex method to guarantee stability and reduce the influence of external disturbances under the condition of bounded H-infinity norm.
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
(2022)
Article
Mathematics, Applied
Yuting Sun, Cheng Hu, Juan Yu, Tingting Shi
Summary: This article studies the synchronization issue of fractional reaction-diffusion neural networks (FRDNNs) with time delay and mixed boundary condition. A novel boundary controller with constant-valued gain is designed based on the boundary state information. The Mittag-Leffler synchronization conditions are established using Lyapunov direct technique and LMI approach. Furthermore, a fractional-order adaptive boundary controller is developed for effective control gain regulation and the adaptive synchronization of FRDNNs is rigorously analyzed. The developed theoretical analysis is supported by a numerical example.
APPLIED MATHEMATICS AND COMPUTATION
(2023)
Article
Automation & Control Systems
Yanhong Liu, Huimin Zhi, Jumei Wei, Xunlin Zhu, Mingliang Xu, Rui Ma, Haiping Du
Summary: This paper investigates the stability of discrete nonlinear switched singular systems with unstable subsystems. New stability results for nonlinear switched singular systems are established by constructing an appropriate multiple discontinuous Lyapunov function and utilizing the characteristics of mode-dependent average dwell time switching signals. The T-S fuzzy modeling method is adopted to approximate the nonlinear switched singular systems and obtain general stability conditions in the form of linear matrix inequalities. Compared to the current results, our technique is more flexible and provides tighter dwell time boundaries. A numerical example is also provided to demonstrate the effectiveness of the proposed method.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Engineering, Mechanical
Shuang Liang, Kai-Ning Wu
Summary: The boundary control problem for stochastic Korteweg-de Vries-Burgers equations is investigated, with proposed criteria for mean square exponential stability, robust mean square exponential stability, and mean square H-infinity performance, in the presence of uncertainties in system parameters and additive noises. Numerical examples validate the theoretical results.
NONLINEAR DYNAMICS
(2022)
Article
Mathematics, Interdisciplinary Applications
Bingxin Li, Yaowei Liu, Xin Zhao
Summary: This paper studies H infinity and robust H infinity control for fractional order systems (FOS) with order 0<<1. Necessary and sufficient conditions for H infinity control and state feedback controller design are proposed. Robust H infinity control for FOS with uncertainty is also studied, and a state feedback controller is designed. These conditions are based on linear matrix inequalities (LMI) and can be easily solved using the LMI toolbox. The effectiveness of these conditions is verified through two numerical examples.
FRACTAL AND FRACTIONAL
(2022)
Article
Automation & Control Systems
Chao Ge, Yaxin Zhang, Lei Wang, Yajuan Liu
Summary: This paper investigates an event-triggered transmission scheme for non-fragile networked control systems with probabilistic time-varying delays. A new two-sided Lyapunov-Krasovskii functional is constructed using the sawtooth structure, and sufficient conditions are derived to ensure stability with extended dissipative. A numerical example is provided to demonstrate the effectiveness of the approach.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Automation & Control Systems
Yun-Zhu Wang, Zhen Wang, Kai-Ning Wu, Chen-Xu Wang
Summary: This article discusses the exponential stabilization and H-infinity performance of delay reaction-diffusion systems with spatial and spatio-temporal sampled-data controllers. Criteria for stability and disturbance rejection are provided, and a novel Lyapunov functional and Halaney's inequality are used to overcome analysis difficulties. Results show that spatial sampling interval and time delay both affect system properties, with shorter intervals and smaller delays leading to easier achievement of desired stability properties.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2022)
Article
Automation & Control Systems
Xiao-Zhen Liu, Kai-Ning Wu, Ze-Tao Li
Summary: This paper studies the exponential stabilization of reaction-diffusion systems (RDSs) with a reaction term satisfying the global Lipschitz condition. Two methods are proposed to achieve system stability by designing intermittent boundary controllers and observers, and a robust controller is also introduced to handle system uncertainties.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2022)
Article
Automation & Control Systems
Xin-Xin Han, Kai-Ning Wu, Yu Yao
Summary: This paper deals with the exponential boundary stabilization of a class of Markov jump reaction diffusion neural networks with mixed time-varying delays. A novel asynchronous boundary control law is developed using observed modes, and a sufficient condition for the stability of the system is established. The results of this study are important for understanding control strategies for distributed parameter systems.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Automation & Control Systems
Kai-Ning Wu, Wei-Jie Zhou, Xiao-Zhen Liu
Summary: This paper investigates the passivity-based boundary control problem of reaction-diffusion systems with time-varying delay and boundary input-output. By employing the Lyapunov functional method and inequality techniques, sufficient conditions for input strict passivity and output strict passivity of the systems are derived. In the presence of parameter uncertainties, sufficient conditions for robust passivity are presented. Moreover, the theoretical results are applied to the synchronization problem of coupled reaction-diffusion systems with delay, and a criterion for asymptotic synchronization is obtained. Numerical simulations are provided to validate the effectiveness of the theoretical results.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Engineering, Mechanical
Shuang Liang, Kai-Ning Wu
Summary: The boundary control problem for stochastic Korteweg-de Vries-Burgers equations is investigated, with proposed criteria for mean square exponential stability, robust mean square exponential stability, and mean square H-infinity performance, in the presence of uncertainties in system parameters and additive noises. Numerical examples validate the theoretical results.
NONLINEAR DYNAMICS
(2022)
Article
Automation & Control Systems
Wei-Jie Zhou, Min Long, Xiao-Zhen Liu, Kai-Ning Wu
Summary: This paper investigates the passivity-based boundary control problem for stochastic delay reaction-diffusion systems with boundary input-output. Delay-dependent sufficient conditions are obtained to ensure the stability and robustness of the system using Lyapunov functional method and stochastic inequality techniques. Numerical simulations are provided to validate the effectiveness of the proposed theoretical results.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2023)
Article
Mathematics, Applied
Run-Jie Zhang, Liming Wang, Kai-Ning Wu
Summary: This paper investigates the boundary finite-time stabilization of fractional reaction-diffusion systems (FRDSs). Sufficient conditions are obtained to ensure the finite-time stability (FTS) of FRDSs under the designed controller. The effect of diffusion term of FRDSs on the FTS is also investigated. Both Neumann and mixed boundary conditions are considered. Moreover, the robust finite-time stabilization of uncertain FRDSs is studied when there are uncertainties in the system's coefficients. Numerical examples are presented to verify the effectiveness of the theoretical results.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Mathematics, Applied
Shuang Liang, Kai-Ning Wu, Ming-Xin He
Summary: The research focuses on the finite-time boundary stabilization of the Korteweg-de Vries-Burgers (KdVB) equations. A distributed controller and a boundary controller design are proposed to ensure stability. The effectiveness of the proposed methods is verified through theoretical analysis and numerical examples.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Article
Mathematics, Applied
Shuang Liang, Deqiong Ding, Kai-Ning Wu
Summary: The exponential input-to-state stability (EISS) for delay Korteweg-de Vries-Burgers (DKdVB) equations is investigated in this paper. By using the Lyapunov-Krasovskii functional method and inequality techniques, a sufficient condition is established to ensure the EISS for DKdVB equations. This condition shows the effect of both time delay and diffusion term on the EISS. Robust EISS of uncertain DKdVB equations is also studied in the presence of uncertainties of system's coefficients, and a criterion is obtained to guarantee the EISS for the uncertain DKdVB equation. Numerical simulation examples are provided to demonstrate the validity of the derived results.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Article
Computer Science, Information Systems
Yuan Sun, Bing Yan, Peng Shi, Cheng-Chew Lim
Summary: An adaptive leader-follower consensus controller is designed in this article for a class of nonlinear multiagent systems with time-varying asymmetric output constraints and unknown control directions. A new state transformation approach is introduced to convert the output into an equivalent unconstrained state. By integrating different control methods, including an adaptive neural network-based backstepping control method and a Nussbaum function approach, the controller compensates for the unknown control directions and guarantees the convergence of the consensus tracking error to a small compact set.
IEEE SYSTEMS JOURNAL
(2023)
Article
Automation & Control Systems
Zhi Lian, Peng Shi, Cheng-Chew Lim, Xin Yuan
Summary: This article addresses the problem of lateral control for networked-based autonomous vehicle systems. A novel solution is proposed using fuzzy-model-based system and asynchronous resilient event-triggered scheme. The proposed control design techniques enable the vehicles to smoothly follow the planned path under external disturbances and network-induced issues.
IEEE TRANSACTIONS ON CYBERNETICS
(2023)
Article
Automation & Control Systems
Xiao-Zhen Liu, Kai-Ning Wu, Choon Ki Ahn
Summary: This article studies the synchronization problem of coupled fractional delayed reaction-diffusion neural networks with boundary controllers. The study presents both time-continuous and time-discontinuous controllers and analyzes the effects of control parameters on system performance.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)
Article
Mathematics, Applied
Xing -Yu Li, Kai-Ning Wu, Xiao-Zhen Liu
Summary: In this study, the Mittag-Leffler stabilization of short memory fractional reaction-diffusion systems (SMFRDSs) is investigated using a designed intermittent boundary controller. By employing the Lyapunov functional method and various inequalities, a sufficient criterion is derived to ensure the Mittag-Leffler stability of SMFRDSs. The robust Mittag-Leffler stability is also considered in the presence of uncertainties in SMFRDSs. Furthermore, the influence of control gains and diffusion coefficient matrix on stability is analyzed. Numerical simulations are conducted to validate the proposed approach based on the obtained results.
APPLIED MATHEMATICS AND COMPUTATION
(2023)
Article
Computer Science, Artificial Intelligence
Yang Fei, Peng Shi, Cheng-Chew Lim
Summary: This article investigates the collision-free cooperative formation control problem for second-order multiagent systems with unknown velocity, dynamics uncertainties, and limited reference information. It proposes an observer-based sliding mode control law to ensure convergence of the system's tracking error and boundedness of the relative distance between each pair of agents. Potential fields and a time-varying topology are introduced to achieve collision-free motion.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
(2023)
Article
Automation & Control Systems
Xin-Xin Han, Kai-Ning Wu, Yugang Niu
Summary: This article presents an asynchronous boundary control design for a class of MJRDNNs, establishes a sufficient criterion for ensuring the stochastic finite-time boundedness of the considered MJRDNNs, and provides a numerical example to illustrate the effectiveness of the proposed design method.
IEEE TRANSACTIONS ON CYBERNETICS
(2023)
