| MODAL SYNTHESIS METHOD FOR NORM COMPUTATION OF H∞ DECENTRALIZED CONTROL SYSTEMS （II） |
| |
| 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. DOI: 10.1007/BF02437314 |
| |
| 作者姓名： | 钟万勰 吴志刚 高强 梁以德 F.W.Williams |
| |
| 作者单位： | [1]StateKeyLaboratoryofStructuralAnalysisforIndustrialEquipment,DalianUniversityofTechnology,Dalian116023,P.R.China [2]DepartmentofBuildingandConstruction,CityUniversityofHongKong,HongKong,P.R.China |
| |
| 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).
|
| 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： | 2002-12-09 |
Modal synthesis method for norm computation ofH∞ decentralized control systems (II) |
| |
| Zhong Wain-xie,Wu Zhi-gang,Gao Qiang,A. Y. T. Leung,F. W. Williams. Modal synthesis method for norm computation ofH∞ decentralized control systems (II)[J]. Applied Mathematics and Mechanics(English Edition), 2004, 25(2): 135-142. DOI: 10.1007/BF02437314 |
| |
| Authors: | Zhong Wain-xie Wu Zhi-gang Gao Qiang A. Y. T. Leung F. W. Williams |
| |
| Affiliation: | (1) State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, 116023 Dalian, P. R. China;(2) Visiting City University of Hong Kong, Hong Kong, P. R. China;(3) Department of Building and Construction, City University of Hong Kong, Hong Kong, P. R. China |
| |
| Abstract: | When using H∞ techniques to design decentralized controllers for large systems, the whole system is divided into subsystems, which are analysed using H∞ control theory before being recombined. An analogy was established with substructural analysis in structural mechanics, in which H∞ decentralized control theory corresponds to substructural modal synthesis theory so that the optimal H∞ norm of the whole system corresponds to the fundamental vibration frequency of the whole structure. Hence, modal synthesis methodology and the extended Wittrick-Williams algorithm were transplanted from structural mechanics to compute the optimal H∞ norm of the control system. The orthogonality and the expansion 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 of decentralized control systems and numerical examples are presented in part (II). Foundation items: the National Key Basic Research Special Foundation of China (G1999032805); the National Natural Science Foundation of China (19732020, 10202004); the UK Engineering and Physical Sciences Research Council (GR/R05437/01) Biography: Zhong Wan-xie (1934≈) |
| |
| Keywords: | H ∞ control decentralized control modal synthesis generalized Rayleigh quotient extended Wittrick-Williams algorithm |
| 本文献已被 维普 SpringerLink 等数据库收录！ |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
|
点击此处可从《应用数学和力学(英文版)》下载全文 |
