Global Output Feedback Stabilization for Switched Nonlinear Systems Under Arbitrary Switching

Global stabilization of a class of switched nonlinear systems with unknown arbitrarily switched output function is achieved via output feedback. A couple of improved high-gain observer and output feedback control law are proposed by using dual high-gain scaling technique. In the presence of non-differentiable output function, a common dynamic output feedback controller is established, where a generalized Lyapunov inequality is introduced with explicit calculation. By constructinga single Lyapunov function for all subsystems, it shows the closed-loop switched systems are globally asymptotically stable under arbitrary switching. Ultimately, two examples are given to illustrate the effectiveness of our control scheme.