Design of robust decentralized H control for interconnected descriptor systems with norm-bounded parametric uncertainties

Ning Chen, Weihua Gui, Guisheng Zhai

研究成果

抄録

This paper considers a robust decentralized H control problem for interconnected 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 sufficient condition for an uncertain interconnected descriptor system to be robustly stabilizable with a specified disturbance attenuation level, is derived in terms of a nonlinear matrix inequality (NMI). A two-stage homotopy method is employed 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 use of this method.

本文言語English
ホスト出版物のタイトルProceedings of the 2006 IEEE International Symposium on Intelligent Control, ISIC
ページ3070-3075
ページ数6
DOI
出版ステータスPublished - 2006 12 1
外部発表はい
イベントJoint 2006 IEEE Conference on Control Applications (CCA), Computer-Aided Control Systems Design Symposium (CACSD) and International Symposium on Intelligent Control (ISIC) - Munich, Germany
継続期間: 2006 10 42006 10 6

出版物シリーズ

名前IEEE International Symposium on Intelligent Control - Proceedings

Conference

ConferenceJoint 2006 IEEE Conference on Control Applications (CCA), Computer-Aided Control Systems Design Symposium (CACSD) and International Symposium on Intelligent Control (ISIC)
国/地域Germany
CityMunich
Period06/10/406/10/6

ASJC Scopus subject areas

  • 制御およびシステム工学
  • モデリングとシミュレーション
  • コンピュータ サイエンスの応用
  • 電子工学および電気工学

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