基于时滞的网络控制系统鲁棒H_∞滤波

陈刚^{1, 2}，朱红求¹，阳春华¹，孔玲爽²

(1. 中南大学 信息科学与工程学院，湖南 长沙，410083；
2. 湖南工业大学 电气与信息工程学院，湖南 株洲，412008)

摘 要：针对网络控制系统鲁棒H_∞滤波器的设计问题，采用Lyapunov-Krasovskii泛函和积分不等式方法，保留Lyapunov-Krasovskii泛函导数中经常被忽略的有用项，并对系统中的不确定性进行处理，建立网络控制系统鲁棒H_∞滤波器误差系统的鲁棒H_∞性能分析准则，提出一种基于线性矩阵不等式的鲁棒H_∞滤波器设计方法。数值实例结果表明：该设计方法具有更低的保守性。

关键词：时滞；网络控制系统；H_∞滤波器；积分不等式；线性矩阵不等式

Robust H_∞ filtering for networked control systems with time-delay

CHEN Gang^{1, 2}, ZHU Hong-qiu¹, YANG Chun-hua¹, KONG Ling-suang²

(1. School of Information Science and Engineering, Central South University, Changsha 410083, China;
2. School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412008, China)

Abstract:For the problem of robust filter design based on networked control system, using a Lyapunov-Krasovskii function and an integral inequality approach，the criteria for robust H_∞ performance analysis of filtering-error systems were proposed by retaining some useful terms which are used to discard the derivative of Lyapunov-Krasovskii function and deal with the different parts of uncertainties of the systems separately. An improved design method of robust H_∞ filter was proposed in term of linear matrix inequalities. Numerical examples results show that the proposed method is less conservative.

Key words:delay; networked control systems; H_∞ filter; integral inequality approach; liner matrix inequality