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

Ning Chen, Weihua Gui, Guisheng Zhai

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

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.

Original languageEnglish
Title of host publicationIEEE International Symposium on Intelligent Control - Proceedings
Pages3070-3075
Number of pages6
DOIs
Publication statusPublished - 2006
Externally publishedYes
EventJoint 2006 IEEE Conference on Control Applications (CCA), Computer-Aided Control Systems Design Symposium (CACSD) and International Symposium on Intelligent Control (ISIC) - Munich
Duration: 2006 Oct 42006 Oct 6

Other

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

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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

Cite this

Chen, N., Gui, W., & Zhai, G. (2006). Design of robust decentralized H control for interconnected descriptor systems with norm-bounded parametric uncertainties. In 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.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Chen, N, Gui, W & Zhai, G 2006, Design of robust decentralized H control for interconnected descriptor systems with norm-bounded parametric uncertainties. in 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. In 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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