L2-Gain analysis and output feedback control for switched delay systems with actuator saturation

Abstract

This paper is concerned with the l2-gain analysis and control problems for switched delay systems subject to actuator saturation. The proposed technical framework consists of a switching law and the output feedback controllers. The switching law obeys the mode-dependent average dwell time (MDADT), which allows each subsystem of the switched system has its own average dwell time (ADT). More important, the switching law is dependent on the state delay. In special case, it can include the existing switching laws satisfying MDADT or ADT. Further, it allows more switching numbers in slow switching framework, which leads to more freedom for constructing switching signals. Hence, the proposed delay-dependent switching law is more general and applicable. The saturated output feedback controllers with the form of quasi-linear parameter-varying (QLPV) are then designed such that the closed-loop system under the switching law is with the disturbance tolerance capacity and a weighted l2-gain. Sufficient conditions for the existence of the switching law and the controllers are developed based on the linear matrix inequalities (LMIs). Finally, the effectiveness of the proposed method is illustrated through a numerical example.