Improving closed-loop stability of second-order LTI systems by hybrid static output feedback

Guisheng Zhai, Shigemasa Takai, Anthony N. Michel, Xuping Xu

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

4 Citations (Scopus)

Abstract

In this paper, we consider the problem of improving the stability properties of a class of second-order LTI systems by hybrid static output feedback. The improvement is measured in term of the stability index defined in the paper, and the systems under consideration are stabilizable with certain stability index by a single static output feedback. We show that an arbitrary desired stability index can be achieved for the system by designing a hybrid controller composed of two static output feedbacks and a conic switching law. An example is given to demonstrate the applicability of our result.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Pages2792-2797
Number of pages6
Volume3
Publication statusPublished - 2002
Externally publishedYes
Event41st IEEE Conference on Decision and Control - Las Vegas, NV, United States
Duration: 2002 Dec 102002 Dec 13

Other

Other41st IEEE Conference on Decision and Control
CountryUnited States
CityLas Vegas, NV
Period02/12/1002/12/13

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Keywords

  • Conic switching law
  • Hybrid static output feedback
  • Second-order LTI system
  • Stability index
  • Stabilization

ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

Cite this

Zhai, G., Takai, S., Michel, A. N., & Xu, X. (2002). Improving closed-loop stability of second-order LTI systems by hybrid static output feedback. In Proceedings of the IEEE Conference on Decision and Control (Vol. 3, pp. 2792-2797)

Improving closed-loop stability of second-order LTI systems by hybrid static output feedback. / Zhai, Guisheng; Takai, Shigemasa; Michel, Anthony N.; Xu, Xuping.

Proceedings of the IEEE Conference on Decision and Control. Vol. 3 2002. p. 2792-2797.

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

Zhai, G, Takai, S, Michel, AN & Xu, X 2002, Improving closed-loop stability of second-order LTI systems by hybrid static output feedback. in Proceedings of the IEEE Conference on Decision and Control. vol. 3, pp. 2792-2797, 41st IEEE Conference on Decision and Control, Las Vegas, NV, United States, 02/12/10.
Zhai G, Takai S, Michel AN, Xu X. Improving closed-loop stability of second-order LTI systems by hybrid static output feedback. In Proceedings of the IEEE Conference on Decision and Control. Vol. 3. 2002. p. 2792-2797
Zhai, Guisheng ; Takai, Shigemasa ; Michel, Anthony N. ; Xu, Xuping. / Improving closed-loop stability of second-order LTI systems by hybrid static output feedback. Proceedings of the IEEE Conference on Decision and Control. Vol. 3 2002. pp. 2792-2797
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