Output feedback non-fragile robust H∞ control for switched systems with multiple time delays

Since the parameters of system and controller are polytopically uncertain, this paper is devoted to the non-fragile robust H, control problem for the switched discrete time systems with multiple state and input time delays. Based on the state observer, the delay-dependent sufficient conditions are presented to guarantee the system asymptotically stable and having H, disturbance attenuation level under arbitrary switching signals. By employing the cone complementarity linearization algorithm, the design procedure is developed for output feedback non-fragile robust H_∞ controller. The simulation results show the effectiveness of the proposed controller design method.