Design of controllers for a class of switched nonlinear systems based on backstepping method

Abstract

The backstepping method is applied to a certain class of switched nonlinear systems to design state feedback controllers and a switching law based on multi-Lyapunov functions. The state feedback controllers and the switching law that can stabilize the system are developed. The switched nonlinear systems with uncertainties can be stabilized robustly by using the proposed method. Finally, simulation results show the effectiveness of the method.

Keywords

switched nonlinear systems / backstepping method / multi-Lyapunov functions / robust stabilization