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H_∞ Controller design on partial state information feedback of T-S fuzzy system

ZHOU Linna~1 ZHANG Qingling~1 PIAO Fengxian~2(1.System Science Institute,Northeastern University,Liaoning Shenyang 110004;2.Shenyang Institute of Aeronautical Engineering,Liaoning Shenyang 110034)  
Controller based on partial state information belong to a class of static output feedback controller,and is difficult to obtain by using LMI technique.This paper investigates the problems of stabilization and control for T-S fuzzy systems via partial state information.Firstly,by matrix transformations,the stabilization of T-S fuzzy systems by partial state information is concluded as the feasibility problem of LMI based given conditions.Then,using the above results,a LMI based on controller design method is given.Finally,a numerical example illustrating the method is given in the paper and to testify the obtained results.
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