Stabilization of switched systems with input delay and saturation: a parametric multiple Lyapunov equations approach

This paper investigates the stabilization problem of switched linear systems with input delay and saturation. By the parametric multiple Lyapunov equations (PMLEs) approach, the parametric low-gain feedback controller and a hysteresis switching law are designed to guarantee the switched systems to be semi-global asymptotically stable. It is possible by adjusting the low-gain parameter to stabilize the system without exceeding the saturation limit. Moreover, the low-gain feedback controller is explicitly constructed. An illustrative example is concerned to demonstrate the effectiveness of the obtained results.