Regular Papers

International Journal of Control, Automation, and Systems 2023; 21(11): 3630-3641

https://doi.org/10.1007/s12555-022-0604-8

© The International Journal of Control, Automation, and Systems

Multi-rate Dynamic Event-triggered H∞ Control for Linear Singularly Perturbed Systems

Shixian Luo*, Zhan He, Xin Chen, and Qinghua Zhong

Guangxi University

Abstract

This paper addresses the event-triggered multi-rate H∞ control problem for linear singularly perturbed systems. A two-time-scale dynamic event-triggering mechanism is proposed to generate sampling time sequences for slow and fast subsystems. The proposed dynamic event-triggering mechanism embeds with internal dynamic variables and dwell times, which can not only increase the inter-event times compared with its static counterparts but also avoid Zeno behavior naturally. The multi-rate sampled-data control law is designed by discretizing the continuous-time composite controller based on the reduced-order technique. By employing switched time-delay system approach combined with a novel switching time-dependent Lyapunov functional, sufficient conditions for stability and L2-gain properties of the closed-loop systems are established in terms of linear matrix inequalities. The effectiveness of the theoretical results is demonstrated by a vehicle active suspension system.

Keywords Dynamic event-triggered control, L2-gain analysis, multi-rate composite control, singularly perturbed systems.

Article

Regular Papers

International Journal of Control, Automation, and Systems 2023; 21(11): 3630-3641

Published online November 1, 2023 https://doi.org/10.1007/s12555-022-0604-8

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

Multi-rate Dynamic Event-triggered H∞ Control for Linear Singularly Perturbed Systems

Shixian Luo*, Zhan He, Xin Chen, and Qinghua Zhong

Guangxi University

Abstract

This paper addresses the event-triggered multi-rate H∞ control problem for linear singularly perturbed systems. A two-time-scale dynamic event-triggering mechanism is proposed to generate sampling time sequences for slow and fast subsystems. The proposed dynamic event-triggering mechanism embeds with internal dynamic variables and dwell times, which can not only increase the inter-event times compared with its static counterparts but also avoid Zeno behavior naturally. The multi-rate sampled-data control law is designed by discretizing the continuous-time composite controller based on the reduced-order technique. By employing switched time-delay system approach combined with a novel switching time-dependent Lyapunov functional, sufficient conditions for stability and L2-gain properties of the closed-loop systems are established in terms of linear matrix inequalities. The effectiveness of the theoretical results is demonstrated by a vehicle active suspension system.

Keywords: Dynamic event-triggered control, L2-gain analysis, multi-rate composite control, singularly perturbed systems.

IJCAS
July 2024

Vol. 22, No. 7, pp. 2055~2340

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