## 留言板

H-∞分散控制系统范数计算的模态综合法(Ⅰ)

 引用本文: 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)[J]. 应用数学和力学, 2004, 25(2): 111-120.
ZHONG Wan-xie, WU Zhi-gang, GAO Qiang, A. Y. T. Leung, F. W. Williams. Modal Synthesis Method for Norm Computation of H∞ Decentralized Control Systems (Ⅰ)[J]. Applied Mathematics and Mechanics, 2004, 25(2): 111-120.
 Citation: ZHONG Wan-xie, WU Zhi-gang, GAO Qiang, A. Y. T. Leung, F. W. Williams. Modal Synthesis Method for Norm Computation of H∞ Decentralized Control Systems (Ⅰ)[J]. Applied Mathematics and Mechanics, 2004, 25(2): 111-120.

## 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).
• 中图分类号: O32；TP273

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

• 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．
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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

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