Please use this identifier to cite or link to this item: https://repository.cihe.edu.hk/jspui/handle/cihe/2707
Title: Modal synthesis method for norm computation of H ∞ decentralized control systems (II)
Author(s): Leung, Andrew Yee Tak 
Author(s): Zhong, W.-X.
Wu, Z.-G.
Gao, Q.
Williams, F. W.
Issue Date: 2004
Publisher: Springer
Journal: Applied Mathematics and Mechanics 
Volume: 25
Issue: 2
Start page: 135
End page: 142
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).
URI: https://repository.cihe.edu.hk/jspui/handle/cihe/2707
DOI: 10.1007/BF02437314
CIHE Affiliated Publication: No
Appears in Collections:CIS Publication

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