奇异非线性时滞离散区间系统的弹性H_∞控制

Resilient H_∞control for discrete generalized interval systems with nonlinear perturbation

针对一类奇异非线性时滞离散区间系统,研究其弹性H∞控制问题.首先,将系统转化成相应的不确定奇异非线性系统,研究其弹性H∞控制器设计问题;然后,利用线性矩阵不等式(LMI)方法,给出了弹性H∞控制器存在的充分条件及设计方法;最后数值算例表明了所提出方法的有效性.

The problem of resilient H∞ control for a class of discrete generalized interval systems with non- linear perturbation is studied. First of all, the system is converted into the corresponding uncertain nonlinear generalized systems, and resilient H∞ controller is designed; Secondly, based on the linear matrix inequality approach, a sufficient condition for the existence of resilient H∞ controller and the design method of the state feedback controller is proposed. Finally, a numerical simulation shows the effectiveness of this approach.