Parallel simultaneous stabilization of a class of nonlinear descriptor systems with actuator saturation

This paper studies parallel simultaneous stabilization of a class of nonlinear descriptor systems with actuator saturation. First, the actuator saturation is expressed by a control input and compensation. Then, under state undecomposed status, two nonlinear descriptor systems are combined to generate an augmented nonlinear descriptor system by using a suitable output feedback. Based on which, a parallel simultaneous stabilization controller is designed for the two systems. Finally, the case of more than two nonlinear descriptor systems with actuator saturation is investigated, and a new parallel simultaneous stabilization result is proposed for the systems.