针对一类具有状态时变时滞且模型中具有参数摄动的网络控制系统，通过构造输入时滞、添加自由矩阵的技巧，利用 Lyapunov 泛函和线性矩阵不等式工具，得到闭环系统鲁棒渐近稳定且满足给定 H∞扰动抑制水平γ的时滞条件，并给出系统的鲁棒 H∞状态反馈控制器的设计方法。所用方法适合时滞以任何速度变化的系统，且不需要知道时滞的导数信息。最后用实例仿真证明了结论的有效性。%This paper focuses on a class of networked control system with time varying delays and state time varying de-lays and the uncertainty parameters.Take advateage of the free weighting matrix and input time delay,the closed-loop sys-tem has been robust asymptotically stable and satisfied the given H∞ disturbances rej ection level of the delay-dependent con-ditions by using Lyapunov functional and linear matrix inequality.At the same time,the robust H∞ State-feedback controller design method is also given.This method has no limit on the time delay derivation and suits any speed varying system.Fi-nally,an application simulation results prove the effectiveness of the conclusion.
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