Reliable H∞ control of dynamic output feedback for time-varying delayed system

The problem of reliable H_infin control based on dynamic output feedback is investigated for time-varying delayed systems against actuator failure. By means of variables switchover, two linear matrix inequalities(LMIs) which are the sufficient condition of the existing of reliable H_infin controller are given. At the same time, the design approaches of dynamic output feedback controller are presented. The resultant control system is asymptotically stable with anti-disturbance performance of given H_infin-norm bounds despite any outages within a prespecified subset of actuators. A numerical example shows the validity of the design method proposed.