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针对一类含有输入时滞的不确定切换系统,讨论了鲁棒指数镇定问题,提出了可行的切换控制器和切换信号的设计方法.首先,运用还原法将具有时滞的切换系统转化为无时滞的切换系统;然后,基于线性矩阵不等式,给出了系统在切换控制器和切换信号作用下鲁棒指数可镇定的充分条件,并利用多Lyapunov函数方法给出了定理的详细证明;最后,利用数值仿真例子验证了该方法的有效性.
For a class of uncertain switched systems with input delay, the robust exponential stabilization problem is discussed, and a feasible switch controller and switching signal design method are proposed.Firstly, the reduction method is used to convert the switched system with delay into Then, based on the linear matrix inequality (LMI), the sufficient conditions for the robust exponential stabilization of the system under switching controllers and switching signals are given. Finally, a detailed proof of the theorem is given by using the method of multiple Lyapunov functions. Finally, , The numerical simulation example is used to verify the effectiveness of the method.