MODAL SYNTHESIS METHOD FOR NORM COMPUTATION OF H∞ DECENTRALIZED CONTROL SYSTEMS (II) |
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引用本文: | 钟万勰 吴志刚 高强 梁以德 F.W.Williams.MODAL SYNTHESIS METHOD FOR NORM COMPUTATION OF H∞ DECENTRALIZED CONTROL SYSTEMS (II)[J].应用数学和力学(英文版),2004,25(2):135-142. |
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作者姓名: | 钟万勰 吴志刚 高强 梁以德 F.W.Williams |
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作者单位: | [1]StateKeyLaboratoryofStructuralAnalysisforIndustrialEquipment,DalianUniversityofTechnology,Dalian116023,P.R.China [2]DepartmentofBuildingandConstruction,CityUniversityofHongKong,HongKong,P.R.China |
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摘 要: | When using H∞ techniques to design decentralized controllers for large systems, the whole system is divided into subsystems, which are analysed using H∞ control theorybefore being recombined. An analogy was established with substructural analysis instructural mechanics, in which H∞ decentralized control theory corresponds to substructuralmodal synthesis theory so that the optimal H∞ norm of the whole system corresponds to thefundamental vibration frequency of the whole structure. Hence, modal synthesismethodology and the extended Wittrick-Williams algorithm were transplanted from structuralmechanics to compute the optimal H∞ norm of the control system. The orthogonality and theexpansion theorem of eigenfunctions of the subsystems H~ control are presented in part (I)of the paper. The modal synthesis method for computation of the optimal H∞ norm ofdecentralized control systems and numerical examples are presented in part (Ⅱ).
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关 键 词: | H∞控制 离散控制 模态分析 Wittrick-Williams运算 控制器设计 |
收稿时间: | 9 December 2002 |
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