Effects of asynchronous switching on networked control of a class of switched systems

This paper investigates the networked control for a class of switched systems under asynchronous switching. The asynchronous switching phenomenon, which means that the switching time of the matched controller mode usually lags behind that of the switched system mode, is caused by network-induced imperfections. To deal with the coupling between the switching interval of switched systems and the execution interval of sampled-data, an event-triggered sampling scheme is introduced to synchronize the sampling times and the switching ones. Based on the proposed sampling scheme, we develop a new model of networked switched control systems in which delays and packet dropouts are taken into account simultaneously. By constructing the piecewise-Lyapunov functions and using the average dwell time approach, sufficient conditions for ensuring the stability of the closed-loop system are derived and two co-design methods on both the switching signal and the asynchronous switched controller are also proposed. It's should be noted that the proposed Lyapunov function is allowed to be increasing during the whole running time of subsystem. Finally, a numerical example is provided to show the effectiveness of the proposed results.