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
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.
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.
Xiaozeng Xu, Yang Li*, Can Liu, and Hongbin Zhang
University of Electronic Science and Technology of China
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.
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