Modal synthesis method for norm computation of H ∞ decentralized control systems (I)
Author(s)
Author(s)
Zhong, W.-X.
Wu, Z.-G.
Gao, Q.
Williams, F. W.
Date Issued
2004
Publisher
Springer
Journal
Applied Mathematics and Mechanics
Volume
25
Issue
2
Start page
123
End page
134
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).
SFU Affiliated Publication
No
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