Adaptive controller design for uncertain singular systems with actuator failure

In this paper, the problem of model reference adaptive controller design with actuator failure is solved for a series of uncertain singular systems. The research on partial actuator failure is relatively mature and it is necessary to solve the problem of how to guarantee the system performance when the actuator fails completely. For this reason, we treat the system with actuator failure as a switching system with two subsystems and then solve the stability analysis problem of the error switching system. The emphasis is to design the adaptive controller by some sufficient linear matrices inequalities (LMIs) conditions and obtain the global stability criterion of the error switching system through the resident time method. Finally, the proposed method is applied to HiMAT aircraft to illustrate the feasibility and effectiveness of this kind of problem.