Abstract:

For linear continuous systems with multi-time delay states, based on Lyapunov stability theory and linear matrix  inequality (LMI) method, the guaranteed cost H_∞ faulttolerant control problem is researched when something  goes wrong with actuators. Firstly, a sufficient condition is given to make systems have faulttolerant controllers,  without exterior interference. Secondly, a sufficient condition is given to make systems have guaranteed cost fault tolerant controllers. Finally, a sufficient condition is given to make systems have H_∞ faulttolerant  controllers when the exterior interference occurs. Furthermore, a sufficient condition that ensures systems to have  guaranteed cost H_∞ fault tolerant controllers and the designing method of the controllers are given. The  simulation results prove the correctness and effectiveness of the proposed approach.