一类Lurie时滞广义系统的时滞相关H_∞控制

Delay-dependent H_∞ control for Lurie singular systems with time-delay

研究一类Lurie时滞广义系统的H∞控制问题.以矩阵不等式形式给出了保证闭环系统正则、无脉冲、全局一致渐近稳定且具有给定性能的时滞相关充分条件.进一步,以非凸约束下的线性矩阵不等式(LMIs)的可行解给出了状态反馈控制律设计方法.仿真算例表明了所提出方法的有效性.

The problem of delay-dependent H∞ control for Lurie singular systems with state-delay is investigated. Delaydependent sufficient condition is obtained in terms of matrix inequalities for ensuring the resultant closed-loop systems of regularity, absence of impulses, global uniform asymptotical stability and a prescribed H∞ performance level. Further more, the state feedback H∞ control law is given in terms of the feasible solutions of linear matrix inequalities（LMIs） under the non-convex constraints. A numerical example shows the effectiveness of the proposed method.