Stabilisation of switched positive systems with actuator saturation

Abstract

This study focuses on the stabilisation problem of switched positive systems with actuator saturation. Through multiple linear co-positive Lyapunov functions, the two cases of time-dependent switching and state-dependent switching are investigated for the first time. Sufficient conditions for stabilisation of the system are proposed under the state feedback controllers. In addition, the convex hull technique is employed to deal with actuator saturation. Finally, an application of the obtained results to the control of aero engines is proposed to demonstrate the validity.