Event-triggered policy for dynamic output stabilization of discrete-time LPV systems under input constraints

Abstract

This paper concerns the event-triggered dynamic output-feedback control of discrete-time linear parameter-varying (LPV) systems subject to saturating actuators. Two independent event-triggering schemes are introduced to determine whether the current signals should be transmitted (a) from the sensor to the controller and (b) from the controller to the actuator. As a result, the communication resources can be significantly saved. Both the emulation-based problem and the co-design problem are addressed. Sufficient conditions based on linear matrix inequalities (LMIs) are derived to ensure the regional asymptotic stability of the origin for the closed-loop system. A convex optimization procedure is proposed to determine the controller matrices and the event-triggering parameters aiming at reducing the number of updates on the independent channels sensor-to-controller and controller-to-actuator. At last, numerical examples are employed to testify to the validity of the proposed methods. • We propose convex co-design conditions for discrete-time saturated LPV systems. • The proposed controller is a dynamic output feedback controller with anti-windup term. • The output and control updates are independently orchestrated by two ETMs. • The proposed convex co-design condition can be adapted to recover the emulation mode. • Convex optimization procedures are provided to reduce the sampling activity.