Controllers design for stabilization of non-minimum phase of switched nonlinear systems

Abstract

This article deals with the global stabilization of a class of switched nonlinear systems where each mode represents non-minimum phase. We design, in this research work, nonlinear feedback controllers and switching law for this class of systems by considering both common and multiple Lyapunov functions. Sufficient conditions under which the globally asymptotically stabilization problem is solvable are also given. The global stability of the resulting switched system can be guaranteed by using the designed approach. In order to solve the global robust stabilization problem, the proposed method is extended to the uncertain switched nonlinear systems where each mode represents non-minimum phase. Two examples are given to show the effectiveness of the developed techniques.