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: Conference contribution

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.

元の言語English
ホスト出版物のタイトルIEEE International Symposium on Intelligent Control - Proceedings
ページ3070-3075
ページ数6
DOI
出版物ステータスPublished - 2006
外部発表Yes
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
継続期間: 2006 10 42006 10 6

Other

OtherJoint 2006 IEEE Conference on Control Applications (CCA), Computer-Aided Control Systems Design Symposium (CACSD) and International Symposium on Intelligent Control (ISIC)
Munich
期間06/10/406/10/6

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Controllers
Linear matrix inequalities
Uncertainty
Feedback

ASJC Scopus subject areas

  • Computer Science Applications
  • Control and Systems Engineering
  • Electrical and Electronic Engineering
  • Modelling and Simulation

これを引用

Chen, N., Gui, W., & Zhai, G. (2006). Design of robust decentralized H control for interconnected descriptor systems with norm-bounded parametric uncertainties. : IEEE International Symposium on Intelligent Control - Proceedings (pp. 3070-3075). [4064997] https://doi.org/10.1109/ISIC.2006.285560

Design of robust decentralized H control for interconnected descriptor systems with norm-bounded parametric uncertainties. / Chen, Ning; Gui, Weihua; Zhai, Guisheng.

IEEE International Symposium on Intelligent Control - Proceedings. 2006. p. 3070-3075 4064997.

研究成果: Conference contribution

Chen, N, Gui, W & Zhai, G 2006, Design of robust decentralized H control for interconnected descriptor systems with norm-bounded parametric uncertainties. : IEEE International Symposium on Intelligent Control - Proceedings., 4064997, pp. 3070-3075, Joint 2006 IEEE Conference on Control Applications (CCA), Computer-Aided Control Systems Design Symposium (CACSD) and International Symposium on Intelligent Control (ISIC), Munich, 06/10/4. https://doi.org/10.1109/ISIC.2006.285560
Chen N, Gui W, Zhai G. Design of robust decentralized H control for interconnected descriptor systems with norm-bounded parametric uncertainties. : IEEE International Symposium on Intelligent Control - Proceedings. 2006. p. 3070-3075. 4064997 https://doi.org/10.1109/ISIC.2006.285560
Chen, Ning ; Gui, Weihua ; Zhai, Guisheng. / Design of robust decentralized H control for interconnected descriptor systems with norm-bounded parametric uncertainties. IEEE International Symposium on Intelligent Control - Proceedings. 2006. pp. 3070-3075
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