Codesign method for event‐triggered control of a class of switched nonlinear systems

Abstract

AbstractThis article investigates the stability problem of a class of switched nonlinear systems by using the codesign of the switching law, the output feedback controller and the static output feedback based dynamic event‐triggered control (ETC). Each subsystem of such switched systems is allowed to be uncontrollable. The codesign method can not only guarantee asymptotic stability of the origin but also exclude Zeno behavior even if none of subsystems of the closed‐loop systems is stable and the switching can lead to the triggers instantaneously. A sufficient condition of using the above codesign method to ensure asymptotic stability without Zeno behavior is given. In addition, sufficient conditions of using the codesign of the output feedback controller and the static output feedback based dynamic ETC under arbitrary switching signals with dwell time for guaranteeing asymptotic stability and the positive lower bound of the interexecution times are developed even if the switching can result in the triggers instantaneously and some closed‐loop subsystems are still unstable. Further, sufficient conditions of using the codesign method to guarantee asymptotic stability without Zeno behavior under arbitrary switching signals with average dwell time are also developed. Finally, a numerical example is given to illustrate the effectiveness of the results.