Robust control for uncertain switched non-linear systems with time delay under asynchronous switching

The problem of robust control for uncertain switched non-linear systems with time delay under asynchronous switching is investigated. Firstly, when there exists asynchronous switching between the controller and the system, a sufficient condition for the existence of stabilising switching law for time-delay switched system is derived. Then, the proposed approach is extended to design stabilising controller and switching law for switched non-linear systems with time delay under asynchronous switching. Furthermore, the problem of robust control for uncertain switched non-linear systems with time delay under asynchronous switching is also investigated. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.