Robust decentralized H2 control of multi-channel descriptor systems with norm-bounded parametric uncertainties

Gui Weihua, Chen Ning, Guisheng Zhai

研究成果: Article査読

抄録

This paper considers a robust decentralized Hi control problem for multi-channel descriptor systems. The uncertainties are assumed to be time-invariant, norm-bounded, and exist in both the system and control input matrices. Our interest is focused on dynamic output feedback. A necessary and sufficient condition for an uncertain multi-channel descriptor system to be robustly stabilizable with a specified Hi norm is derived in terms of a strict nonlinear matrix inequality (NMI), that is, an NMI with no equality constraint. A two-stage homotopy method is proposed to solve the NMI iteratively. First, a decentralized controller for the nominal descriptor system is computed by imposing block-diagonal constraints on the coefficient matrices of the controller gradually. Then, the decentralized controller is modified, again gradually, to cope with the uncertainties. On each stage, groups of variables are fixed alternately at the iterations to reduce the NMI to linear matrix inequalities (LMIs). An example is given to show the efficiency of this method.

本文言語English
ページ(範囲)49-62
ページ数14
ジャーナルKybernetika
45
1
出版ステータスPublished - 2009
外部発表はい

ASJC Scopus subject areas

  • ソフトウェア
  • 制御およびシステム工学
  • 理論的コンピュータサイエンス
  • 情報システム
  • 人工知能
  • 電子工学および電気工学

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