Decentralized generalized H2 control of multi-channel uncertain systems with time-delays

Ning Chen, Weihua Gui, Guisheng Zhai

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

Abstract

This paper considers a decentralized generalized H2 control problem for uncertain multi-channel systems with time-delays. The uncertainties are assumed to be time-invariant, norm-bounded, and exist in the system, time-delay and output matrices. Our interest is focused on dynamic output feedback. A sufficient condition for the uncertain multi-channel time-delay system to be admissible with a specified disturbance attenuation level is derived based on the theorem of 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 2008 IEEE International Conference on Networking, Sensing and Control, ICNSC
Pages201-205
Number of pages5
DOIs
Publication statusPublished - 2008
Externally publishedYes
Event2008 IEEE International Conference on Networking, Sensing and Control, ICNSC - Sanya
Duration: 2008 Apr 62008 Apr 8

Other

Other2008 IEEE International Conference on Networking, Sensing and Control, ICNSC
CitySanya
Period08/4/608/4/8

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ASJC Scopus subject areas

  • Computer Networks and Communications
  • Control and Systems Engineering

Cite this

Chen, N., Gui, W., & Zhai, G. (2008). Decentralized generalized H2 control of multi-channel uncertain systems with time-delays. In Proceedings of 2008 IEEE International Conference on Networking, Sensing and Control, ICNSC (pp. 201-205). [4525210] https://doi.org/10.1109/ICNSC.2008.4525210