Stabilizing discrete-time switched systems via observer-based static output feedback

Zhijian Ji, Long Wang, Guangming Xie

Abstract: We study the stabilization of discrete-time switched linear systems and discrete-time uncertain switched systems when an arbitrary switching rule is imposed on the observer-based static output feedback controllers. Several linear matrix inequality (LMI) based conditions are established to this problem with switched Lyapunov function method for both cases.