广义时滞系统的时滞相关型H_∞控制

Delay-dependent H-infinity control for descriptor time-delay systems

研究了广义时滞系统的时滞相关型H∞控制问题.首先通过引入一个新的Lyapunov-Krasovskii泛函,以严格线性矩阵不等式的形式,得到了广义时滞系统的一个新的有界实引理.在此基础上,设计了使得闭环系统正则、无脉冲和稳定,且满足H∞性能界的时滞相关型H∞控制器,并给出了控制器增益的显式表示.最后的算例表明了本文方法具有更小的保守性.

A delay-dependent H-infinity control for descriptor time-delay systems is investigated. First, in terms of the strict linear matrix inequalities （LMIs）, a new improved delay-dependent bounded real lemma （BRL） of the time-delay descriptor systems is presented by employing a new Lyapunov-Krasovskii functional. Second, with the help of the obtained bounded real lemma, a delay-dependent H-infinity controller is designed, which guarantees the closed-loop systems to be regular, impulse free, and stable with a bounded H-infinity norm. An explicit expression for the desired controller is given. Numerical examples show that the proposed methods are less conservative than existing ones.