Guaranteed Cost Reliable Control for Discrete-Time Linear Systems

For uncertain discrete-time linear systems, optimal guaranteed cost reliable control with continual gain actuator faults is presented. Base on linear matrix inequality (LMI), a sufficient condition for the existence of reliable control is given. On the basis of convex optimization theory, optimal guaranteed cost reliable controller and standard controller are designed via convex optimization algorithm. Simulation results show the effectiveness of the design method. Furthermore, the optimal guaranteed cost standard system and the reliable system are compared to show the necessity of reliable control