Anti-Windup $\boldsymbol{L}_{\infty}$ Event-Triggered Control for Linear Systems with Actuator Saturation and Persistent Bounded Disturbance

Jia Liu, Zhenzhen Quan, Dan Ma, Tao Yang

Abstract: In this paper, the L ∞ control synthesis problem for linear systems subject to actuator saturation and persistent bounded disturbance is studied. An L ∞ dynamic output feedback controller, an anti-windup compensator and an event generator are simultaneously designed. First, by using the quadratic Lyapunov function technique, a sufficient condition on the existence of the L ∞ dynamic output feedback controller, an anti-windup compensator and an event generator is established via linear matrix inequalities (LMIs). Such an integrated controller is able to guarantee the regional stabilization and the L ∞ performance of linear systems with actuator saturation and external persistent bounded disturbance. Second, novel algorithms are developed to optimize the upper bound on the L ∞ performance, the event-triggered threshold and the domain of attraction. Moreover, an output-based event-triggered mechanism applying to the anti-windup dynamic output feedback control design is provided, which reduces the number of control actuation updates and information transmission with respect to the traditional time-triggered control scheme.