State feedback stabilisation of switched non‐linear systems with asymmetric output constraints

Abstract

A state feedback stabilisation problem of switched non-linear systems with asymmetric output constraints (AOCs) is investigated in this study by combining a simple new common barrier Lyapunov function and then adding a power integrator technique. Smooth state feedback controllers are designed in a constructive and systematic way to make switched systems asymptotically stable and to prevent switched systems from violating AOCs. The proposed method, which is developed in a unified frame in some sense, works not only for switched systems with asymmetric or symmetric output constraints but also for those without output constraints. Illustrative examples are employed to verify the proposed method in this study.