Article
Automation & Control Systems
Kexue Zhang, Bahman Gharesifard
Summary: This paper investigates a hybrid event-triggered control strategy for stabilizing a class of nonlinear time-delay systems. The proposed algorithm combines impulsive control mechanism with an event-triggered strategy to avoid Zeno behavior. Sufficient conditions for system stabilization are obtained using Lyapunov method and Razumikhin technique, validated through numerical simulations.
NONLINEAR ANALYSIS-HYBRID SYSTEMS
(2021)
Article
Automation & Control Systems
Ticao Jiao, Guangdeng Zong, Ju H. Park, Jian Liu, Yanlei Zhao
Summary: This article addresses the incremental stability problem for stochastic time-varying impulsive and switching systems, providing sufficient criteria to achieve practical incrementally globally asymptotic stability. The feasibility of these results is verified through a numerical example.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2021)
Article
Automation & Control Systems
Jiayuan Yan, Bin Hu, Zhi-Hong Guan
Summary: In this article, the controllability of nonlinear impulsive and switching systems with input delay is investigated. Two controllability conditions are developed using the fixed point method under different nonlinear constraints. The first condition considers the Lipschitz nonlinear condition and a sufficient controllability criterion is obtained using the Banach's contraction mapping principle. The second condition imposes a linear growth condition on the nonlinearity and an alternative controllability condition is developed using the Rothe's fixed point theorem. The article shows that the system controllability can be influenced by the impulsive and switching factors, beyond the delayed part and the nonlinearity. Two numerical examples are provided to verify the theory.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Automation & Control Systems
Jialin Chen, Wu-Hua Chen, Xiaomei Lu
Summary: This article discusses the problems of achieving exponential stability and finite hybrid L-2 x L(2)-gain for linear neutral time-delay systems with impulsive effects under continuous and discrete disturbances. A novel piecewise Lyapunov functional is introduced to analyze the stability of the system considering state-delay and impulse-dwell-time impacts, and the criteria for stability and gain are expressed in terms of linear matrix inequalities. The effectiveness of the proposed methods is demonstrated through numerical examples.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2021)
Article
Engineering, Multidisciplinary
Xiaoying Chen, Yang Liu, Qihua Ruan, Jinde Cao
Summary: This paper studies the stabilization of nonlinear time-delay systems under flexible delayed impulsive control. It provides sufficient conditions for establishing stability property using exponential Lyapunov-Razumikhin functions. The results show that the size of delay in continuous dynamics can be flexible, and there is no magnitude relationship between the delay in continuous flow and impulsive delay. By utilizing the proposed method of average impulsive estimation (AIE), the rate coefficients can be adjusted flexibly, and the impulsive delay can be integrated to ensure the stabilization effect of impulses.
APPLIED MATHEMATICAL MODELLING
(2023)
Article
Automation & Control Systems
Md Arzoo Jamal, Rakesh Kumar, Santwana Mukhopadhyay, Subir Das
Summary: The present article investigates the fixed-time stability analysis of nonlinear dynamical systems with impulsive effects. Novel criteria are derived to achieve stability in fixed-time under stabilizing and destabilizing impulses. Theoretical results show that the estimated fixed-time in this study is less conservative and more accurate compared to existing theorems. The theoretical findings are also applied to impulsive control of general neural network systems.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Automation & Control Systems
Taotao Hu, Xinzhi Liu, Zheng He, Xiaojun Zhang, Shouming Zhong
Summary: This article investigates hybrid event-triggered and impulsive consensus problems for leaderless and leader-following multiagent systems with switching topologies. A hybrid control strategy is designed to reduce communication frequency and ensure consensus. The effectiveness is demonstrated through numerical examples and simulations, and a comparison with previous methods is provided.
IEEE TRANSACTIONS ON CYBERNETICS
(2022)
Article
Automation & Control Systems
Xiaodi Li, Peng Li
Summary: This study proposed a type of inequality with delayed impulses that effectively integrates the information of time delay into the stabilization of time-delay systems, and obtained sufficient conditions ensuring global exponential stability for a class of nonlinear time-delay systems. The results show that the time delays in impulses can contribute to the stability of the time-delay systems.
Article
Automation & Control Systems
Jie Li, Yu Zhang
Summary: This paper investigates the input-to-state stability (ISS) of nonlinear discrete-time time-varying impulsive delay systems with the coexistence of stabilising and destabilising impulses. The ISS criteria for discrete-time impulsive delay systems are established using the Lyapunov functional, where the coefficient of the estimated upper bound of the time difference of the Lyapunov functional can be a time-varying function. The ISS of a class of discrete-time linear time-varying impulsive delay systems is also discussed by utilizing a non-quadratic Lyapunov functional. Numerical examples are presented to verify the effectiveness of the main results.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2022)
Article
Mathematics
Quanyu Bai, Wei Zhu
Summary: This paper investigates the event-triggered impulsive optimal control for linear continuous-time dynamic systems. It presents an optimal feedback controller with input time-delay, where the impulsive instants are determined by a designed event-triggering function and condition depending on the system state. Some sufficient conditions are given to ensure exponential stability with the optimal controller. Additionally, the Zeno-behavior for the impulsive instants is excluded. The validity of the theoretical results is verified through a numerical simulation example.
Article
Mathematics, Applied
Akbar Zada, Bakhtawar Pervaiz, Muthaiah Subramanian, Ioan-Lucian Popa
Summary: This primer article focuses on the representation of solutions and finite-time stability of impulsive first-order delay differential systems. It introduces delayed matrix function with impulses and applies variation of parameters to obtain a representation of solutions for linear systems with impulse effects. The famous classical Grownwall inequalities and properties of delayed matrix exponential with impulses are utilized to establish sufficient conditions for finite-time stability. Several examples are provided to support the results.
APPLIED MATHEMATICS AND COMPUTATION
(2022)
Article
Automation & Control Systems
Jiayuan Yan, Bin Hu, Zhi-Hong Guan
Summary: This article investigates the controllability of linear discrete-time impulsive hybrid systems with input delay (DIHSID) by using geometric and algebraic analytical methods. The geometric conditions for null reachability and controllability are studied, and the null reachable set and controllable set for every impulsive and switching sequence are obtained. A new subspace sequence is constructed to analyze the controllability of DIHSID. The complete controllability of DIHSID is investigated using algebraic methods, and sufficient conditions for complete controllability are established without assuming nonsingularity of all impulsive matrices. Furthermore, a less conservative criterion for complete controllability is developed by introducing a row matrix of some Gramian matrices. Two examples are provided to demonstrate the effectiveness of the developed controllability theory.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)
Article
Mathematics, Applied
Xingao Zhu, Shutang Liu
Summary: This note addresses the problem of reachable set estimation for switched nonlinear time-varying systems with mixed time-varying delay, delayed impulse, and disturbance. A novel method is proposed, which differs from the traditional Lyapunov-Krasovskii functional approach. By introducing the concept of average dwell time switching, sufficient conditions are given for the convergence of all system states within a special sphere. The results are extended to linear time-varying systems, and their validity is demonstrated through simulation examples.
APPLIED MATHEMATICS AND COMPUTATION
(2022)
Article
Computer Science, Artificial Intelligence
Xueyan Yang, Xiaodi Li
Summary: This article studies the problem of finite-time stability and finite-time contractive stability for nonlinear impulsive systems with consideration of time delay. Sufficient conditions for FTS/FTCS are constructed using Lyapunov function methods. A relationship between impulsive frequency and time delay is established to reveal the performance of FTS/FTCS. The theoretical results are applied to finite-time state estimation of neural networks. Two examples demonstrate the effectiveness and distinctiveness of the proposed delay-dependent impulsive schemes.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
(2023)
Article
Automation & Control Systems
Brahim Boukanjime, Mohamed El-Fatini, Aziz Laaribi, Regragui Taki, Kai Wang
Summary: This paper investigates a stochastic hybrid time-delayed epidemic model with vaccination perturbed by both white noise and telegraph noise in the form of Markovian switching. Using the Lyapunov method, the existence and uniqueness of the global positive solution are demonstrated, with extinction results derived under suitable conditions with and without the effect of delay. Asymptotic bounds on solutions are also discussed, and numerical simulations are carried out to validate theoretical results with real-life disease examples.
Article
Automation & Control Systems
Haihua Guo, Min Meng, Gang Feng
Summary: This article investigates the mean square leader-following output consensus problem in heterogeneous multi-agent systems with randomly switching topologies and time-varying communication delays. It proposes a distributed observer to estimate the leader's state by modeling the switching topologies as a time-homogeneous Markov process and considering the communication delays. A novel distributed output feedback controller is then designed. By constructing a novel switching Lyapunov functional, an easily-verifiable sufficient condition for achieving mean square leader-following output consensus is provided. Two simulation examples are presented to demonstrate the effectiveness of the proposed control scheme.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Automation & Control Systems
Yige Guo, Xiang Xu, Lu Liu, Yong Wang, Gang Feng
Summary: This paper investigates the stabilization problem of discrete-time linear systems with infinite distributed input delays. A novel framework is adopted to analyze the stability of the concerned systems. Two truncated predictor feedback controllers are developed for two classes of discrete-time linear systems with infinite distributed input delays via the low gain method, and it is shown that these systems are globally exponentially stable under the designed controllers. This is the first time that the stabilization problem of discrete-time linear systems with infinite distributed input delays is considered, and simulation examples demonstrate the effectiveness of the proposed controllers.
Article
Automation & Control Systems
Xiang Xu, Lu Liu, Miroslav Krstic, Gang Feng
Summary: This paper addresses the stabilization problems in cascade systems involving linear ODEs and PDEs of both hyperbolic and parabolic types. The paper considers systems where the output of one subsystem is the control input of the other subsystem, and extends the existing results by allowing for different PDE dynamics and general LTI systems. The paper develops a backstepping procedure and proves the exponential stability of the closed-loop system. A simulation example is provided to illustrate the effectiveness of the proposed controllers.
Article
Engineering, Electrical & Electronic
Yi Zhang, Jinrong Lin, Chuandong Li
Summary: The existing research on three-phase power flow in ungrounded distribution networks uses methods of presetting zero-sequence reference voltages and neutral point reference voltages, which cannot calculate the power flow in networks with non-zero neutral point voltages or zero-sequence voltages. In this paper, a three-phase power flow algorithm is proposed to overcome this limitation and accurately calculate the power flow in ungrounded distribution networks. The proposed algorithm constrains the zero-sequence currents of ungrounded winding nodes to zero, and theoretical analyses and mathematical derivations prove its applicability.
INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS
(2023)
Article
Automation & Control Systems
Zhengran Cao, Chuandong Li, Xiaoyu Zhang, Xujun Yang
Summary: The paper investigates the problem of robust exponential stabilization for T-S fuzzy stochastic dynamical networks (T-S FSDNs) based on the state-dependent impulsive controller. Some sufficient conditions are provided using B-equivalence approach such that every solution of considered systems intersects each impulsive surface exactly once. Then, meaningful sufficient criteria are obtained combining with the inequality technique and comparison principle to ensure the mean square stability of T-S fuzzy stochastic dynamical networks. The obtained results in the paper are less conservative and easy to verify compared to related results. Finally, two numerical simulations based on Ro$$ \ddot{o} $$ssler's system and Lorenz system demonstrate the effectiveness of the obtained theoretical results.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Automation & Control Systems
Yahui Hao, Lu Liu, Gang Feng
Summary: This article addresses the cooperative output regulation problem of heterogeneous linear multiagent systems under jointly connected digraphs and proposes event-triggered control protocols based on state feedback and output feedback. It is demonstrated through experiments that the proposed protocols can exponentially converge the output tracking errors of the closed-loop control systems to zero.
IEEE TRANSACTIONS ON CYBERNETICS
(2023)
Article
Automation & Control Systems
Xiang Xu, Lu Liu, Miroslav Krstic, Gang Feng
Summary: This article proposes two low-gain controllers for systems with distributed input dynamics, governed by diffusion equations with counter convection. It shows that the considered PDE-ODE cascade system can be exponentially stabilized with the proposed low-gain controllers. The advantage of the proposed controllers is their simplified form compared to existing backstepping-designed controllers, but they require additional restrictions on the eigenvalues of the open-loop plant.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Automation & Control Systems
Dan Zhang, Chao Deng, Gang Feng
Summary: This article addresses the problem of resilient cooperative output regulation for a class of uncertain nonlinear multiagent systems (MASs) under denial-of-service (DoS) attacks. A novel distributed control scheme is proposed, which includes a resilient distributed observer and a distributed adaptive controller. The effectiveness of the proposed control scheme is demonstrated through a simulation example.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Automation & Control Systems
Qianghui Zhou, Lu Liu, Gang Feng
Summary: This paper investigates the robust stabilization problem of a class of uncertain Lipschitz nonlinear systems with infinite distributed input delays. A novel robust predictor feedback controller is proposed, and the controller gain can be obtained by solving a linear matrix inequality. It is shown that the proposed controller can exponentially stabilize the concerned system globally. The key contribution of this approach lies in the development of new quadratic Lyapunov functionals. The obtained results are generalized to systems with both multiple constant input delays and infinite distributed input delays.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2023)
Article
Automation & Control Systems
Wenji Cao, Lu Liu, Gang Feng
Summary: This article addresses the leader-following output consensus problem of heterogeneous linear multi-agent systems with unknown agent parameters under directed graphs. The proposed distributed adaptive pole placement control scheme, which allows non-minimum phase dynamics and unknown arbitrary individual relative degrees of followers, is shown to achieve bounded signals and asymptotic tracking of the leader's output. The effectiveness of the scheme is demonstrated through practical and numerical examples.
IEEE-CAA JOURNAL OF AUTOMATICA SINICA
(2023)
Article
Automation & Control Systems
Zehua Ye, Dan Zhang, Chao Deng, Huaicheng Yan, Gang Feng
Summary: This work focuses on the resilient sliding mode control (SMC) problem of unmanned marine vehicles (UMVs) under the framework of Finite-Time Stability (FTS), considering the DoS attacks on the network between the UMV and the remote console. A T-S fuzzy model is used to model the nonlinear UMV, and a novel sliding mode protocol is proposed. The FTS conditions for both the reaching phase and the sliding mode phase are provided, and simulation results demonstrate the effectiveness of the proposed control scheme.
Article
Automation & Control Systems
Tao Xu, Tuo Yang, Zhisheng Duan, Gang Feng, Guanrong Chen
Summary: This article studies the coordination control problem of networked manipulators, where a two-layer control scheme is developed to estimate the position and velocity of the trajectory and design an event-driven distributed controller. The proposed controller reduces control update burden and communication costs by performing control updates and communication at certain event instants. Simulation results using MATLAB Robotics Toolbox verify the effectiveness and superiority of the proposed control scheme.
IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY
(2023)
Article
Computer Science, Artificial Intelligence
Xingxing Ju, Xinsong Yang, Gang Feng, Hangjun Che
Summary: This paper proposes three novel accelerated inverse-free neurodynamic approaches to solve absolute value equations. The first two approaches converge in a finite-time, while the third approach converges in a fixed-time. It is shown that the proposed methods converge to the solution of the absolute value equations, and the settling times depend on initial conditions. The robustness of the proposed approaches against bounded vanishing perturbations is also demonstrated. The theoretical results are validated through numerical examples and applications in boundary value problems.
Article
Computer Science, Artificial Intelligence
Xiaoyu Zhang, Chuandong Li, Hongfei Li, Zhengran Cao
Summary: This article investigates the synchronization issue of a type of uncertain coupled neural networks involving time-varying delay with unmeasured or unknown bound by delayed impulsive control with distributed delay. A new Halanay-like delayed differential inequality is presented, and sufficient criteria are obtained to achieve global mu-synchronization of the delayed neural networks. A numerical simulation is provided to demonstrate the validity of the obtained theoretical results.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
(2023)
Article
Automation & Control Systems
Hongjuan Wu, Chuandong Li, Yinuo Wang, Hao Deng
Summary: In this article, a novel class of mathematical models for uncertain switched nonlinear systems with saturation constraints on control signals is proposed. The robust stability of the system is analyzed using Lyapunov stability theory, polytopic representation approach, matrix inequality, and Schur complement. Design of the hybrid control gains and optimization problems for larger estimation of the attraction domain are also investigated. Simulation results show the feasibility and effectiveness of the proposed methods.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)
