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研究了一类时变时滞切换控制系统的动态回馈控制器的设计问题.其中,控制输入具有导数有界的时变时滞.利用多Lyapunov泛函方法,结合不等式的放缩技巧,用线性矩阵不等式(LMI)的形式给出了确保系统渐近稳定的控制器存在的充分条件,同时设计出了相应的有效切换律.最后给出实例说明了本文控制器设计的有效性.
In this paper, the design of a kind of dynamic feedback controller for a switched control system with time-varying delay is studied. The control input has a derivative bounded time-varying delay. By using the Lyapunov functional approach and the scaling technique of inequality, In the form of matrix inequality (LMI), sufficient conditions for the existence of the asymptotic stability of the system are given, and corresponding effective switching laws are designed. Finally, an example is given to illustrate the effectiveness of the proposed controller design.