Simultaneous stabilization for singular systems with actuator saturation and nonlinear perturbation

In this paper, the problem of fault-tolerant control for simultaneous stabilization r uncertain singular systems subject to both time-varying nonlinear perturbation and actuator saturation is investigated. A sufficient condition for the existence of simultaneous stabilization controller is proposed which guarantees the regularity, impulse-free and stability of the r uncertain closed-loop singular systems with time-varying nonlinear perturbation and actuator saturation. Meanwhile a design approach to the simultaneous stabilization controller is designed via using linear matrix inequalities (LMIs).