IJCAS

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.