Hybrid control of linear continuous systems with actuator saturation

The paper studied the stability of continuous systems with actuator saturation. First the paper designed a hybrid controller to the system and the closed loop of the system is a kind of switched system. Based on single Lyapunov function method the switched system was stabilized. We obtained one sufficient condition of the stability of the continuous system with actuator saturation. The attraction domain of the system was estimated. Then the paper considered the stability of the uncertain system with actuator saturation. Finally a numerical example was given to demonstrate the result of the paper.