含区间时变时滞的线性不确定系统非脆弱鲁棒控制

摘要

For time-varying delay linear systems with intervals, by incorporating with Lyapunov-Krasovskii functional method combined with the integral inequality apporoach, a delay-dependent robust stability criterion is proposed in terms of the linear matrix inequality for linear systems with interval time-delay, and a non-fragile robust controller is designed. Numerical examples show thai the results are effective and less conservative.%针对一类时滞是时变的且属于一个已知区间的线性系统,利用Lyapunov-Krasovskii泛函方法,结合积分不等式方法,以线性矩阵不等式的形式,给出了区间时滞线性系统的时滞相关鲁棒稳定性准则,并设计了非脆弱鲁棒控制器.数值算例表明,所得结论是有效的,具有更低的保守性.