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《Journal of Hainan Normal University(Natural Science)》 2006-01
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Bounded real lemma and robust H_∞ control of 2-D Roesser models

ZHANG Yan WU Bao-wei (College of Mathematics and Information Science,Shanxi Normal University,Xian 710062,China)  
The problem for robust H_∞ control of two dimensional Roesser models with time-invariant normbotmded parameter uncertainties was discussed in this paper.The purpose was the design of static state feedback controllers so that the resulting closed- loop system would prescribe H_∞ performance level for all admissible uncertainties.Different versions of bounded real lemma of 2-D Roesser models were established in terms of linear matrix inequalities.Based on this,a sufficient condition for the solvability of the robust H_∞ control problem was given,and a desired state feedback controller can be constructed by solving a set of matrix inequlities.
【Fund】: 国家自然科学基金(10571114)
【CateGory Index】: O231
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