H-∞分散控制系统范数计算的模态综合法(Ⅰ)

钟万勰; 吴志刚; 高强; 梁以德; F.W.威廉姆斯

H-∞分散控制系统范数计算的模态综合法(Ⅰ)

大连理工大学工业装备结构分析国家重点实验室,大连 116023; 2.香港城市大学建筑系,香港

基金项目: 国家重点基础研究发展规划资助项目(G1999032805);国家自然科学基金资助项目(19732020;10202004);英国工程与物理科学研究理事会资助项目(GR/R05437/01)

详细信息

作者简介:
钟万勰(1934- ),男,浙江德清人,教授,中国科学院院士(联系人.Tel/Fax:86-441-4708437;E-mail:zwoffice@dlut.edu.cn).

中图分类号: O32；TP273
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出版历程
- 收稿日期: 2002-12-09
- 修回日期: 2003-10-08
- 刊出日期: 2004-02-15

Modal Synthesis Method for Norm Computation of H_∞ Decentralized Control Systems (Ⅰ)

State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116023, P. R. China;

摘要

摘要: 在大系统控制中，H∞分散控制方法将整个系统划分成一系列子系统分别研究，然后综合设计大系统的分散控制器，这与结构力学中的子结构分析技术类似．本着这一思想建立了分散H∞控制与子结构振动分析的模拟关系、分散控制系统的最优H∞范数与整体结构一阶本征值之间的对应关系，进而利用结构力学中的模态综合法和扩展Wittrick-Williams算法计算这一参数．论文的第(Ⅰ)部分主要介绍系统H∞控制及其本征函数的正交性和展开定理；第(Ⅱ)部分介绍分散控制系统最优H∞范数计算的模态综合法及数值算例．
- H-∞控制 /
- 分散控制 /
- 模态综合 /
- 广义Rayleigh商 /
- 扩展Wittrick-Williams 算法
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).
- H_∞ control /
- decentralized control /
- modal synthesis /
- generalized Rayleigh quotient /
- extended Wittrick-Williams algorithm

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参考文献(22)

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H-∞分散控制系统范数计算的模态综合法(Ⅰ)

作者简介:
钟万勰(1934- ),男,浙江德清人,教授,中国科学院院士(联系人.Tel/Fax:86-441-4708437;E-mail:zwoffice@dlut.edu.cn).

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Modal Synthesis Method for Norm Computation of H_∞ Decentralized Control Systems (Ⅰ)

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H-∞分散控制系统范数计算的模态综合法(Ⅰ)

作者简介: 钟万勰(1934- ),男,浙江德清人,教授,中国科学院院士(联系人.Tel/Fax:86-441-4708437;E-mail:zwoffice@dlut.edu.cn).

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出版历程

Modal Synthesis Method for Norm Computation of H∞ Decentralized Control Systems (Ⅰ)

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出版历程

目录

作者简介:
钟万勰(1934- ),男,浙江德清人,教授,中国科学院院士(联系人.Tel/Fax:86-441-4708437;E-mail:zwoffice@dlut.edu.cn).

Modal Synthesis Method for Norm Computation of H_∞ Decentralized Control Systems (Ⅰ)