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线性不确定系统鲁棒滤波器设计
引用本文:刘诗娜,费树岷,冯纯伯.线性不确定系统鲁棒滤波器设计[J].自动化学报,2002,28(1):50-55.
作者姓名:刘诗娜  费树岷  冯纯伯
作者单位:1.东南大学自动化所,南京
基金项目:国家自然基金 (6960 40 0 3 ,6993 40 1 0 ),国家攀登计划 (970 2 1 1 0 1 7)资助
摘    要:分别研究了一类线性不确定连续和离散系统的鲁棒保成本滤波器的设计问题.采用保 成本滤波器(guaranteed cost filter)的设计思想,用线性矩阵不等式的形式给出鲁棒保成本滤波 器存在的简便检验条件,由LMI的解直接得到滤波器各参数的值.对鲁棒保成本滤波器存在的 系统,进一步优化成本矩阵,获得了最优鲁棒保成本滤波器.最后给出一个仿真实例,结果验证 了方法的有效性.

关 键 词:不确定系统    鲁棒保成本滤波器    LMI方法
收稿时间:2000-4-21
修稿时间:2000年4月21日

ROBUST FILTER DESIGN FOR LINEAR UNCERTAIN SYSTEM
LIU Shi-Na,FEI Shu-Min,FENG Chun-Bo.ROBUST FILTER DESIGN FOR LINEAR UNCERTAIN SYSTEM[J].Acta Automatica Sinica,2002,28(1):50-55.
Authors:LIU Shi-Na  FEI Shu-Min  FENG Chun-Bo
Affiliation:1.Institute of Automation,Southeast University,Nanjing
Abstract:The robust guaranteed cost filter design problem for linear uncertain system is studied, including continuous time and discrete time systems. The design idea of the guaranteed cost filter is adopted. The convenient test approach for the existence of robust guaranteed cost filter is presented in the form of linear matrix inequality (LMI). Moreover, the parameters of the filter are determined directly by solutions of the LMI. If the robust guaranteed cost filter exists, the cost matrix can be optimized to get the optimal robust guaranteed cost filter. At last, a simulation example is given and the results demonstrate the effectiveness of the approach.
Keywords:Uncertain system    guaranteed cost filter    LMI approach
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