Event-triggered and self-triggered control for linear systems with actuator saturation

Abstract

In this paper, both event-triggered and self-triggered transmission strategies are proposed for dynamical systems subject to actuator saturation. The designed triggering condition, which is expected to save more network resources, is closely related to the cases where either the actuator saturates or it does not. The linear quadratic optimal control method is utilized to guarantee the asymptotic stability of the closed-loop systems. Global and local stability results are considered, respectively. For local stability, two sufficient conditions are presented to derive the asymptotic stability region. The minimum inter-transmission time of the proposed triggering mechanism is explicitly formulated to eliminate the Zeno behaviour. Finally, an example is provided to demonstrate the effectiveness of the theoretical results.