A Common Lyapunov Function Approach to Event-Triggered Control with Self-Triggered Sampling for Switched Linear Systems

Abstract

In this paper, a common Lyapunov function approach to event-triggered control with self-triggered sampling for switched linear systems is proposed. A switched system is a system where the dynamics can be switched by a switching signal (mode). In the proposed method, based on the upper bound of the common Lyapunov function, the update time of the control input and the mode, and the next sampling time of the state are determined. As a control specification, it is guaranteed that the closed-loop system is uniformly ultimately bounded. Finally, the proposed method is demonstrated by a numerical example.