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Observer-based Intermittent Consensus Control of Nonlinear Singular Multi-agent Systems
Xinxin Xie,Xiaowu Mu 제어·로봇·시스템학회 2019 International Journal of Control, Automation, and Vol.17 No.9
This paper studies the leader-following consensus for a class of nonlinear singular multi-agent systems. Unlike the related works, the case that states of agents are unavailable and communication channel among agents may be subjected to frequently attacks is considered, where agents can only communicate with their neighbors on some disconnected time intervals. Based on graph theory, singular system theory and multi-Lyapunov function approach, the observer-based intermittent feedback control protocol and sufficient conditions are given to ensure the existence and uniqueness of solutions and consensus of the considered systems. Besides, a description of state jumps of the systems at the instants of communication changes is presented. Finally, a numerical example is given to illustrate the feasibility of the result.
H∞ Containment Control of Multi-agent Systems with Random Communication Time-varying Delay
Minhong He,Xiaowu Mu 제어·로봇·시스템학회 2020 International Journal of Control, Automation, and Vol.18 No.4
This paper investigates the H∞ containment control problem of multi-agent systems with random communication time-delay. The information exchanges between the agents are supposed to be randomly delayed, characterized by a Bernoulli distribution sequence. And a neighbor-based protocol with random communication delay is proposed. As external perturbation exits broadly in many practical systems, the paper deals with it by using H∞ control theory. By applying stochastic technique, Lyapunov analysis and the free-weighting matrices technique, theoretical results show that the followers will ultimately converge to the convex hull spanned by the leaders in the mean square sense with a prescribed H∞ performance index. Finally, a numerical example is given to demonstrate the validity of the theoretical results.
Yang Song,Xiaowu Mu 제어·로봇·시스템학회 2021 International Journal of Control, Automation, and Vol.19 No.6
In this paper, the event-driven fault tolerant control is investigated for networked switched linear systems subject to actuator failures with asynchronous switching. Firstly, by applying the augmented switching signal technique and event-driven communication scheme, the original systems is established as a closed-loop linear switched systems, and the fault tolerant control is considered for networked switched linear systems under the given actuator failures model. In addition, compared with the common Lyapunov function method, a piece-wise Lyapunov functionis proposed in this paper to analysis the H∞ performance of the switched linear systems with actuator failures. After that, sufficient conditions are established to ensure the exponential stability of systems, which are obtained under dwell time and average dwell time, respectively. Finally, an example is given to illustrate the effectiveness of the conclusion.
Event-triggered H∞ Control for Switched Systems Under Multiple Attacks
Ying Xu,Xiaowu Mu,Guifang Cheng 제어·로봇·시스템학회 2023 International Journal of Control, Automation, and Vol.21 No.4
This article investigates the event-triggered H∞ control for networked switched systems under multiple attacks and transmission delay. A novel model of multiple attacks is constructed by considering stochastic false data injection attack and periodic denial-of-service (DoS) attack. The event-triggered strategy is proposed by using the mode information of switched system and periodicity of DoS attack. Then, sufficient conditions are obtained to ensure mean-square exponential stability and H∞ performance of the closed-loop switched system. Furthermore, the controller gains and event-triggered parameters of subsystems are derived. Finally, a numerical example is given to verify the effectiveness and feasibility of the results.
Lijie You,Jianyin Fang,Xiaowu Mu 제어·로봇·시스템학회 2020 International Journal of Control, Automation, and Vol.18 No.4
The stability problem is investigated for switched positive linear systems (SPLS) with unstabilized subsystem and actuator saturation. By using Lyapunov functions method and mode-dependent average dwell time (MDADT) strategy, sufficient conditions of the stability for the considered systems are established. We also give an estimate of the attraction domain. The convex hull represent approach is used to deal with actuator saturation. Finally, two examples are carried out to show the validity of results, which is less conservative than the average dwell time (ADT) switching.
Jumei Wei,Huimin Zhi,Xiaowu Mu 제어·로봇·시스템학회 2019 International Journal of Control, Automation, and Vol.17 No.12
In this paper, the problem of the E-exponential stability of linear switched singular systems composed of stable and unstable subsystems in discrete-time case is investigated. By using a multiple discontinuous Lyapunov function approach and exploring the properties of mode-dependent average dwell time(MDADT) switching signal, new sufficient conditions of E-exponential stability for linear switched singular systems are presented. Compared with the existing results, the proposed method is more flexible and tighter bounds on MDADT can be obtained. Finally, a numerical example is provided to illustrate the effectiveness of the proposed criteria.