Guaranteed cost fault-tolerant control for a class of uncertain linear system

For a class of uncertain linear systems, the fault-tolerant design problem of guaranteed cost is presented against the actuator faults. A more practical and general model of actuator faults than outage is considered. The resulting control systems are reliable in that they provide guaranteed stability and cost performance, not only when all actuators are operational, but also when some actuator faults occur. Base on Ricatti equation, a sufficient condition for the existence of reliable control is given. The simulation results show the effectiveness of the design method. Furthermore, the standard system and the fault-tolerant system are compared to show the necessity of reliable control.\;