Reliable H∞ control for linear systems with continuous gain faults

This paper is concerned with the reliable H_∞ control design problem for linear systems with actuator faults. A more practical model of actuator faults is considered. An LMI approach of designing reliable controller is presented for the case of actuator faults that can be modeled by a scaling factor. The resulting control systems are reliable in that they provide guaranteed asymptotic stability and H_∞ performance when some control component (actuator) faults occur. A numerical example is also given to illustrate the design procedure and their effectiveness. Furthermore, the optimal H_∞ standard controller and the optimal H_∞ reliable controller were compared to show the necessity of reliable control.