Global stabilization of switched nonlinear systems under arbitrary switchings via smooth output feedback

Abstract

Global output feedback stabilization for a class of switched nonlinear systems is addressed. The tasks of finding a common Lyapunov function and designing state stabilizing feedback laws are solved simultaneously based on the adding a power integrator approach. Reduced-order compensators for the switched nonlinear system are constructed to estimate the unmeasurable states. Coupling the state feedback controllers with the developing nonlinear observers, global asymptotic stabilization of the switched nonlinear system under arbitrary switchings is achieved by the output feedback control.