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中文摘要：
研究了一类不确定时滞系统的鲁棒H∞控制问题.利用增广Lyapunov泛函并结合自由权矩阵方法,得到使得闭环系统鲁棒渐近稳定且具有给定的H∞性能的时滞相关充分条件.基于相应的线性矩阵不等式的可行解,给出了不确定时滞系统的状态反馈鲁棒H∞控制律.仿真实例表明了本文方法的有效性.
英文摘要：
The problem of H∞ control for a class of uncertain systems with time-delay is considered.By means of augmented Lyapunov functional and free-weighting matrix approach,a delay-dependent sufficient condition is presented,which can make the resulting closed-loop systems asymptotically stable and satisfy a prescribed H∞ norm-bounded constraint.In terms of solutions of the linear matrix inequality（LMI）,the robust H∞ state feedback control law of the considered systems is obtained.Finally,numerical examples show the validity of the proposed approach.
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