针对具有输入与状态时变时滞的线性系统研究其鲁棒控制问题,依据自由权矩阵技巧,在没有任何不等式放缩的情况下,利用 Lyapunov 稳定性定理,得到了没有任何保守性的时滞依赖渐近稳定充分条件;所用方法对时滞的导数没有任何限制,适合任何慢变或快变系统。最后通过数值算例与其他文献结果进行比较,说明该方法的优越性。
Robust control is considered for the uncertain linear system with input time varying delays and state time varying delays. The sufficient condition of no conservative delay-dependent asymptotic stability is derived by combi-ning the free weighting matrix technique with the Lyapunov stability theorem. This method has no limit on the time delay derivation and suits any slow varying system or fast varying system. Comparing the results of the numerical ex-ample to other literatures shows that this method is superior to the others.