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Fuzzy H_∞ Filter Design for a Class of Nonlinear Systems with Time Delays via LMI
作者姓名:LUN  Shu-Xian~
作者单位:LUN Shu-Xian~(1'2) ZHANG Hua-Guang~1 ~1(School of Information Science and Engineering,Northeastern University,Shenyang 110004)~2(School of Information Science and Engineering,Bohai University,Jinzhou 110004)
基金项目:Supported by National Natural Science Foundation of P.R.China (60274017,60325311),and Natural Science Foundation of Liaoning Province P.R.China (20022030)
摘    要:This paper develops fuzzy H_∞filter for state estimation approach for nonlinear discrete- time systems with multiple time delays and unknown bounded disturbances.We design a stable fuzzy H_∞filter based on the Takagi-Sugeno (T-S) fuzzy model,which assures asymptotic stability and a prescribed H_∞index for the filtering error system.Sufficient condition for the existence of such a filter is established by solving the linear matrix inequality (LMI) problem.The LMI problem can be efficiently solved with global convergence using the interior point algorithm.Simulation examples are provided to illustrate the design procedure of the proposed method.

关 键 词:Nonlinear  systems  H_∞  filter  state  estimation  Takagi-Sugeno  fuzzy  model  time  delays  linear  matrix  inequality(LMI)  
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