Reliable H∞ control for discrete-time systems with pole constraints

This paper investigates the problem of reliable H control for discrete-time systems with circular pole constraints. First, a more practical model of actuator failures than outage is adopted. Then a reliable controller design method is developed. This method is based on H-infinity performance and multiobjective optimization in terms of LMI A new formulation is adopted without introducing additional conservativeness. A given H-infinity performance bound of the actuator failure cases is guaranteed and the performance in the normal case is optimized. Simulation results show the effectiveness of the design method. Furthermore, the standard system and the reliable system are compared to show the necessity of reliable control.