Reliable stabilization and H∞ control for switched systems with faulty actuators: An average dwell time approach

Abstract

This paper deals with the issues of observer-based reliable stabilization and Hinfin control for a class of continuous-time switched Lipschitz nonlinear systems in the sense that actuators suffer a ldquodestabilizing failurerdquo. When the never-faulty actuators cannot stabilize the corresponding system, the closed-loop switched systems can still be exponentially stable based on the average dwell time scheme. Under the condition requiring that activation time ratio between stabilizable subsystems and unstabilizable ones is not less than a specified constant, sufficient condition is derived for the switched systems to be exponentially stabilizable for all admissible actuator failures via switching and associated observer-based feedback controllers. The result is also extended to solve the observer-based reliable Hinfin control problem.