Robust output feedback controllers design for a class of switched hybrid systems

The robust output feedback stabilization problem was considered for a class of nonlinear uncertain switched hybrid systems. The uncertainties exited in the system include the disturbances to the system matrix, the uncertainty satisfying matching condition and the one not satisfying the matching condition. The problems of quadratic stabilization and asymptotic stabilization were investigated for given switched hybrid systems. Some sufficient conditions for the robust stability of the switched hybrid systems are derived by using common Lyapunov function technique and multiple Lyapunov function technique respectively. Simulations validate the correctness of the results.