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Event-triggered Control of Discrete-time Switched Linear Systems with An Arbitrary Sampling Period
Xiaozeng Xu,Yang Li,Can Liu,Hongbin Zhang 제어·로봇·시스템학회 2021 International Journal of Control, Automation, and Vol.19 No.1
In this paper, the event-triggered control problem for discrete-time switched linear systems with anarbitrary sampling period is considered. At each sampling instant, only the sampled information of system state andswitching signal is available to the controller. Particularly, the sampling period is arbitrary in this paper and frequentswitching is allowed to happen in an inter-event period. Based on that, by constructing a time- and mode-dependentquadratic piecewise Lyapunov function, a new globally exponentially stability (GES) result under modal dwell time(MDT) criteria is obtained. By the novel Lyapunov function and the state variable transformation technique, a statefeedback controller is designed for the switched linear system. At last, a numerical example is proposed to illustrateour approach.
Yuyao Wang,Xiaozeng Xu,Xiaoqin Li,Lei Cheng,Hongbin Zhang 제어·로봇·시스템학회 2021 International Journal of Control, Automation, and Vol.19 No.10
In this paper, the event-triggered filtering problem for continuous-time switched linear systems with overlapped mismatching intervals is investigated. The mismatching interval is the time period when the filter and the subsystem are asynchronous. It is assumed that only the sampled information of system state and switching signal is available to the H∞ filter at each sampling instant. Due to the overlaps between the mismatching intervals, multipleswitches are allowed during the adjacent sampling instants. Under this assumption, asynchronous time could be much longer than the modal dwell time (MDT). By constructing a time-dependent quadratic piecewise Lyapunov function, a new globally uniformly exponentially stability (GUES) result under MDT criteria is obtained, and theanalysis of the weighted H∞ filter is given. Moreover, the design method for the parameters of the filter and the eventtrigger are formulated and solved in the form of linear matrix inequalities (LMI). Finally, a numerical example at the end of this paper is proposed to illustrate the effectiveness and improvement of the proposed approach.
A Novel Approach to H2 and H∞ Filter Design for Discrete-time Switched Affine Systems
Zhenting Fu,Xiaozeng Xu,Xinyue Yang,Hongbin Zhang,Qunxian Zheng 제어·로봇·시스템학회 2023 International Journal of Control, Automation, and Vol.21 No.6
This paper focuses on solving H2 and H∞ filtering problems for discrete-time switched affine systems. By constructing a discrete-time affine filtering error system, an observer-based filter and its corresponding switching function can be obtained by solving the linear matrix inequalities. For discrete-time switched affine systems, the performance indexes of the system in this neighborhood cannot be analyzed due to the existence of affine terms. The technique proposed in this note leads the system’s trajectory to the limit cycle so that the resulting conditions can consider the weighted H2 and H∞ performance level of the system. In addition, it is proved that the H2 and H∞ guaranteed cost is upper bounded and the upper boundaries are formulated by solving an optimization problem. Finally, two numerical examples are given to verify the theory.