Output Feedback Non-fragile Robust H_∞ Control for Switched Systems with Multiple Time Delays

摘要

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.