Robust H_∞ Filter Design for Time-delay Systems with Saturation  

作　　者：Xiao-Fang Hong Yu-Zhen Wang Hai-Tao Li 

机构地区：[1]School of Control Science and Engineering, Shandong University [2]Department of Electrical and Automation, Shandong Labor Vocational and Technical College

出　　处：《International Journal of Automation and computing》2013年第4期368-374,共7页国际自动化与计算杂志（英文版）

基　　金：supported by National Natural Science Foundation of China(Nos.G61074068,G61034007,G61174036);Research Fund for Taishan Scholar Project of Shandong Province;Natural Science Foundation of Shandong Province(No.ZR2010FM013);Scholarship Award for Excellent Doctoral Student granted by Ministry of Education

摘　　要：This paper investigates the H∞ filtering problem for a class of linear continuous-time systems with both time delay and saturation. Such systems have time delay in their state equations and saturation in their output equations, and their process and measurement noises have unknown statistical characteristics and bounded energies. Based on the Lyapunov-Krasovskii stability theorem and the linear matrix inequalities （LMIs） technique, a generalized dynamic filter architecture is proposed, and a filter design method is developed. The linear H∞ filter designed by the method can guarantee the H∞ performance. The parameters of the designed filter can be obtained by solving a kind of LMI. An illustrative example shows that the design method proposed in this paper is very effective.This paper investigates the H∞ filtering problem for a class of linear continuous-time systems with both time delay and saturation. Such systems have time delay in their state equations and saturation in their output equations, and their process and measurement noises have unknown statistical characteristics and bounded energies. Based on the Lyapunov-Krasovskii stability theorem and the linear matrix inequalities （LMIs） technique, a generalized dynamic filter architecture is proposed, and a filter design method is developed. The linear H∞ filter designed by the method can guarantee the H∞ performance. The parameters of the designed filter can be obtained by solving a kind of LMI. An illustrative example shows that the design method proposed in this paper is very effective.

关 键 词：H∞ filter SATURATION time delay nonlinear system linear matrix inequality. 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] TN713[自动化与计算机技术—控制科学与工程]