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.

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

  • Received Date: 2002-12-09
  • Rev Recd Date: 2003-10-08
  • Publish Date: 2004-02-15
  • 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).
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