改进的非线性系统Η_∞滤波器设计  

An Improved H_∞ filter design for nonlinear systems

作　　者：陆仲达[1] 张国梁 贾炀[1] LU Zhong-da;ZHANG Guo-liang;JIA Yang(College of Computer and Control Engineering,Qiqihar University,Heilongjiang Qiqihar 161006,China)

机构地区：[1]齐齐哈尔大学计算机与控制工程学院,黑龙江齐齐哈尔161006

出　　处：《齐齐哈尔大学学报（自然科学版）》2018年第2期7-10,共4页Journal of Qiqihar University(Natural Science Edition)

基　　金：黑龙江省教育厅基本业务专项(135109238)

摘　　要：主要研究一类带有时变时延的非线性系统,利用T-S模糊模型的方法对系统进行建模。通过构建新的Lyapunov–Krasovskii泛函,利用线性矩阵不等式(LMI)的方法给出所设计的模糊H_∞滤波器存在的充分条件,结合矩阵解耦技术求解滤波器参数。最后给出一个仿真例子说明该设计滤波器方法的有效性。The fuzzy H∞filter design problem for a class of nonlinear systems with time-varying delays is investigated in this paper,the nonlinear systems described by Takagi-Sugeno(T-S)fuzzy model approach.By constructing a novel Lyapunov-Krasovskii function and using the linear matrix inequality(LMI),an improved delay-dependent conditions are exploited to derive sufficient conditions for designing H∞filter,combined with the matrix decoupling technology in the process of solving the parameters.Lastly,a example simulation illustrates the effectiveness of the proposed design method.

关 键 词：非线性系统 时变时延 H∞滤波器 LMI 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]