基于模型依赖驻留时间的异步切换控制

Asynchronous switching control based on mode-dependent average dwell time

研究在模型依赖平均驻留时间切换策略下切换线性系统的异步切换控制问题,同时考虑模型依赖的控制器滞后时间的约束问题.在实际情况下,信号传输和系统检测等原因会导致控制器的切换滞后于子系统.基于这类情况,首先将子系统运行的区间划分为子系统与控制器相匹配的区间和非匹配的区间,根据模型依赖的驻留时间策略设计出各子系统的控制器;然后,结合模型依赖的控制器滞后时间、系统参数和Lyapunov稳定条件推导出合适的驻留时间设计参数,且使得异步切换系统全局一致指数稳定;最后通过数值仿真验证了所提出方法的有效性.

In this paper, the problem of asynchronous switching control is investigated for switched linear systems based on the mode-dependent average dwell time(MDADT) method, meanwhile, the time delay constraints of modeldependent controllers are considered. In actual situations, owing to signal transmission, system detection, and the like,the switching of controllers is often lagged behind their corresponding subsystems. Therefore, the time interval in which one subsystem operates is divided into two parts: the matched and the mismatched. The controller of each subsystem is designed according to its model-dependent dwell time. Then, combined with the lag time of controllers, the appropriate dwell time strategy is derived based on Lyapunov stability conditions and system parameters, and the global exponential stability of the asynchronous switched systems is guaranteed. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method.