Robust Stabilization of Switched Uncertain Systems with Input Quantization Under Asynchronous Switching

In practical applications, it takes time for a switched system to switch from the current subsystem to the candidate subsystem and run the candidate controller, which will cause the controller to be asynchronous with the subsystem mode, namely asynchronous switching. This paper investigates the robust stabilization for switched uncertain systems with input quantization when controller and subsystem mode are subject to asynchronous switching. First of all, the criteria are presented to achieve exponential stability of the closed-loop systems under asynchronous switching. Then, the design method of the controllers is given in which each controller for its corresponding subsystem comprises two parts. One is used to handle model uncertainty and asynchronous switching, and the influence of quantization is eliminated by the other. Finally, the feasibility and effectiveness of the derived technique are verified through a numerical example.