不确定时变时滞切换系统的鲁棒H_∞控制

Robust H_∞ control for uncertain time-varying delay switched systems

针对一类参数不确定时变时滞线性切换系统,研究了鲁棒H∞控制器的设计问题.首先利用积分不等式和引入自由权矩阵的方法,得到了系统稳定及控制器存在的一个充分条件.此条件依赖时滞大小但不要求时滞函数的导数信息.然后将其转化为线性矩阵不等式(LMI)表示,最后给出了算例说明该方法的有效性和可行性.

To uncertain time-varying linear switched systems, the problem of robust H∞ controller design is studied. A sufficient condition of existence of controller was obtained by using integral inequality and free-weigthing matrix method. The sufficient condition depends on size of delay and requires no information about the derivate of time-delay. Based on the linear matrix inequality （ LMI ） approach, the sufficient condition could be transformed to a LMI. An example was given to show the validity and feasibility of the approach.