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《Journal of Systems Engineering》 2008-01
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Design of robust H_∞ filtering on stochastic uncertain systems

SUN Ping~1 LIU Chun-yu~2 JING Yuan-wei~3 (1.School of Information Science and Engineering,Shenyang University of Technology,Shenyang 110023,China; 2.Neusoft Institute of Information,Northeastern University,Dalian 116023,China; 3.School of Information Science and Engineering,Northeastern University,Shenyang 110004,China)  
The robust H_∞filtering problem is considered for stochastic uncertain systems subject to norm-bounded parameter uncertainties in both state matrix and output matrix of the state space mod- el.The aim is to design a filter by auxiliary systems,which ensures both the robustly stochastic sta- bility and prescribed level of H_∞performance for the filtering error dynamics for all admissible uncer- tainty.The sufficient and necessary conditions are obtained.An LMI method for designing filter is given by matrix transformations,so it is convenient to obtain the expression of filter.Finally,a nu- merical example shows that the method is effective and feasible.
【Fund】: 国家自然科学基金(60274099);; 国家高技术研究发展(863)计划资助项目(2004AA412030)
【CateGory Index】: TN713
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