Adaptive output tracking of switched nonlinear systems with unmodeled dynamics

Abstract

This paper is concerned with the problem of output feedback adaptive control for switched systems with unmodeled dynamics and relative degree p. Firstly, for the former p states, based on the local filters, an adaptive controller is designed by using a backstepping recursive design method and a common coordinate transformation for all subsystems. Second, a common Lyapunov function is constructed to establish the boundedness of all signals in the resulting closed-loop switched systems under arbitrary switching signals. Finally, it is shown that a system output can track the desired trajectory.