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

中文关键词  广义时滞系统  时滞相关  H∞控制  有界实引理  线性矩阵不等式

英文关键词  descriptor time-delay systems  delay-dependent  H-infinty control  bounded real lemma  LMIs

中文摘要

      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.

英文摘要

      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.