Robust stabilization of nonlinear switched systems via switched output feedback

This paper addresses the problem of robust stability and stabilization of a class of nonlinear switched systems when each subsystem is not stabilized by a designed single static output feedback. Both the condition on robust stability only via switching and the condition on switched static output feedback controllers are expressed in terms of matrix inequalities. These conditions are derived by multiple Lyapunov functions technique and the switching rules adopted are state-dependent. All these results can be regarded as an extension of some existing results for non-switched systems