时滞广义区间系统的鲁棒H_∞控制

Robust H_∞ Control for Singular Interval Systems with State Delay

研究了一类时滞区间广义系统的鲁棒H∞控制问题.研究该问题的目的是设计状态反馈控制器,使得闭环系统是鲁棒稳定的,同时具有H∞范数界.这个问题通过对系统进行广义二次能稳定且具有H∞范数界的研究而得到解决.得到了该类系统广义二次能稳定且具有H∞范数界的充分必要条件,给出了状态反馈控制器的构造方法.最后的数值例子说明了主要结果.

This paper considers the problem of robust H_∞ control for a class of interval singular systems with state delay. The purpose of the robust H_∞ control is to design a state feedback controller such that the resulting closed-loop systems are robust stable with H_∞ norm bound. This problem is solved via the notion of generalized quadratic stabilization with H_∞ norm bound. Necessary and sufficient condition for generalized quadratic stabilization with H_∞ norm bound is derived. A required state feedback controller is also constructed. Finally, an example is given to illustrate the main result.