Robust stabilization of multi-channel descriptor systems with time-delay using decentralized output feedback control

Ning Chen, Guisheng Zhai, Weihua Gui

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

Abstract

This paper considers a robust decentralized output feedback stabilization problem for uncertain multi-channel descriptor systems with time-delay. The uncertainties are assumed to be time-invariant, norm-bounded, and exist in the system, time-delay and output matrices. A sufficient condition for the uncertain multichannel time-delay system to be admissible is derived based on Lyapunov stability theory. By setting the Lyapunov matrix as block diagonal appropriately according to the desired order of the controller, the problem is reduced to linear matrix inequalities which are sufficient to the existence condition but much more tractable. An example is given to show the efficiency of this method.

Original languageEnglish
Title of host publicationProceedings of the 2007 IEEE International Conference on Mechatronics and Automation, ICMA 2007
Pages3366-3370
Number of pages5
DOIs
Publication statusPublished - 2007 Dec 18
Event2007 IEEE International Conference on Mechatronics and Automation, ICMA 2007 - Harbin, China
Duration: 2007 Aug 52007 Aug 8

Publication series

NameProceedings of the 2007 IEEE International Conference on Mechatronics and Automation, ICMA 2007

Conference

Conference2007 IEEE International Conference on Mechatronics and Automation, ICMA 2007
CountryChina
CityHarbin
Period07/8/507/8/8

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Keywords

  • Linear matrix inequality (LMI)
  • Multi-channel descriptor systems
  • Robust stability
  • Time-delay
  • Uncertainties

ASJC Scopus subject areas

  • Artificial Intelligence
  • Software
  • Control and Systems Engineering
  • Mechanical Engineering

Cite this

Chen, N., Zhai, G., & Gui, W. (2007). Robust stabilization of multi-channel descriptor systems with time-delay using decentralized output feedback control. In Proceedings of the 2007 IEEE International Conference on Mechatronics and Automation, ICMA 2007 (pp. 3366-3370). [4304103] (Proceedings of the 2007 IEEE International Conference on Mechatronics and Automation, ICMA 2007). https://doi.org/10.1109/ICMA.2007.4304103