Regular Papers

International Journal of Control, Automation and Systems 2021; 19(1): 279-288

Published online August 5, 2020

https://doi.org/10.1007/s12555-020-0018-4

© The International Journal of Control, Automation, and Systems

Event-triggered Control of Discrete-time Switched Linear Systems with An Arbitrary Sampling Period

Xiaozeng Xu, Yang Li*, Can Liu, and Hongbin Zhang

University of Electronic Science and Technology of China

Abstract

In this paper, the event-triggered control problem for discrete-time switched linear systems with an arbitrary sampling period is considered. At each sampling instant, only the sampled information of system state and switching signal is available to the controller. Particularly, the sampling period is arbitrary in this paper and frequent switching is allowed to happen in an inter-event period. Based on that, by constructing a time- and mode-dependent quadratic 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 illustrate our approach.

Keywords Arbitrary sampling period, event-triggered control, modal dwell time (MDT), switched systems.

Article

Regular Papers

International Journal of Control, Automation and Systems 2021; 19(1): 279-288

Published online January 1, 2021 https://doi.org/10.1007/s12555-020-0018-4

Copyright © The International Journal of Control, Automation, and Systems.

Event-triggered Control of Discrete-time Switched Linear Systems with An Arbitrary Sampling Period

Xiaozeng Xu, Yang Li*, Can Liu, and Hongbin Zhang

University of Electronic Science and Technology of China

Abstract

In this paper, the event-triggered control problem for discrete-time switched linear systems with an arbitrary sampling period is considered. At each sampling instant, only the sampled information of system state and switching signal is available to the controller. Particularly, the sampling period is arbitrary in this paper and frequent switching is allowed to happen in an inter-event period. Based on that, by constructing a time- and mode-dependent quadratic 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 illustrate our approach.

Keywords: Arbitrary sampling period, event-triggered control, modal dwell time (MDT), switched systems.

IJCAS
May 2024

Vol. 22, No. 5, pp. 1461~1759

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