一类不确定区间时变时滞系统的时滞相关鲁棒H_∞控制

Delay-dependent Robust H_∞Control for Uncertain Systems with Interval Time-varying Delay

研究了一类不确定区间时变状态时滞系统的鲁棒H_∞控制问题.基于Lyapunov稳定性理论和线性矩阵不等式,采用自由权矩阵方法,得到使得相应闭环系统渐近稳定且具有H_∞性能的时滞相关充分条件,并给出状态反馈鲁棒H_∞控制律的设计方法.仿真实例表明了该方法的有效性.

The problem of robust H∞control for uncertain system with interval time-varying state-delay is considered. Based on Lyapunov-Krasovskii stability theory and linear matrix inequalities, using free matrix technique, a delay-dependent sumcient condition is derived, making the resultant closed-loop systems asymptoticlly stable and satisfying a prescribed H∞ cost constraint. And a design method of state feedback robust H∞control law is given. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.