Non-fragile stabilisation of nonlinear switched systems with actuator saturation

Abstract

For nonlinear continuous-time switched systems, the problem of how to overcome the controller vulnerability is studied when the saturating actuator is considered. The sufficient condition of non-fragile stabilisation of the system is derived by using the method of multiple Lyapunov functions. Then, a switching law and the non-fragile state feedback controllers are designed such that the closed-loop system can be asymptotically stabilised at the origin. Finally, when some scalar parameters of the closed-loop system are given, the design issue of the non-fragile state feedback controllers and the switching law, which aim at enlarging the estimation of domain of attraction for closed-loop system, is transformed into a convex optimisation issue with linear matrix inequalities (LMI) constraints, and a numerical example is given to verify the effectiveness of the proposed method.