%0 Journal Article %T 矩阵不等式约束下的矩阵逼近及鲁棒控制中的应用 %A 年晓红 %A 杨莹 %A 黄琳 %J 自动化学报 %P 352-358 %D 2005 %X ?Thispaperdealswithageneralclassofoptimizationproblemsinrobustcontrolwithgivenexpectationvalueofperformanceindex,whichcanbetransformedintotheproblemofmatrixapproximationwithmatrixinequalitiesconstraints.Theoremforexistenceandtheuniquenessofthesolutionsofmatrixapproximationwithlinearmatrixinequalities(LMIs)constraintsispresentedandalgorithmsforsolvingtheproblemsofmatrixapproximationwithmatrixinequalitiesconstraintsaregivenbasedonthefactthatsuchproblemscanbeconvertedintothegeneralizedeigenvalueproblem(GEVP)ofLMI.Examplesaregiventoillustratethemainresultsofthepaper. %K Robustcontrol %K matrixapproximation %K uncertainty %K LMI %K GEVP %U http://www.aas.net.cn/CN/abstract/abstract15889.shtml