Hybrid static output feedback stabilization of two-dimensional LTI systems: A geometric method

Guisheng Zhai, Hideaki Kondo, Joe Imae, Tomoaki Kobayashi

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

1 Citation (Scopus)

Abstract

For two-dimensional linear time-invariant (LTI) systems which are not stabilizable via a single static output feedback, we propose a hybrid stabilization strategy based on a geometric method. More precisely, we design two static output feedback gains and a switching law between the feedback gains so that the entire closed-loop system is asymptotically stable. The proposed switching law is composed of output-dependent switching and time-controlled switching. We demonstrate the design method with various examples, and show that in some cases the stabilizability depends on the region of the initial state, while in other cases the system Is globally stabilizable.

Original languageEnglish
Title of host publicationProceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Pages6911-6916
Number of pages6
Volume2005
DOIs
Publication statusPublished - 2005
Externally publishedYes
Event44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 - Seville
Duration: 2005 Dec 122005 Dec 15

Other

Other44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
CitySeville
Period05/12/1205/12/15

Fingerprint

Stabilization
Feedback
Closed loop systems

Keywords

  • Asymptotic line
  • Hybrid stabilization
  • Output-dependent switching
  • Static output feedback
  • Switching line
  • Time-controlled switching
  • Two-dimensional LTI system

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Zhai, G., Kondo, H., Imae, J., & Kobayashi, T. (2005). Hybrid static output feedback stabilization of two-dimensional LTI systems: A geometric method. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 (Vol. 2005, pp. 6911-6916). [1583274] https://doi.org/10.1109/CDC.2005.1583274

Hybrid static output feedback stabilization of two-dimensional LTI systems : A geometric method. / Zhai, Guisheng; Kondo, Hideaki; Imae, Joe; Kobayashi, Tomoaki.

Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. Vol. 2005 2005. p. 6911-6916 1583274.

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

Zhai, G, Kondo, H, Imae, J & Kobayashi, T 2005, Hybrid static output feedback stabilization of two-dimensional LTI systems: A geometric method. in Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. vol. 2005, 1583274, pp. 6911-6916, 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, Seville, 05/12/12. https://doi.org/10.1109/CDC.2005.1583274
Zhai G, Kondo H, Imae J, Kobayashi T. Hybrid static output feedback stabilization of two-dimensional LTI systems: A geometric method. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. Vol. 2005. 2005. p. 6911-6916. 1583274 https://doi.org/10.1109/CDC.2005.1583274
Zhai, Guisheng ; Kondo, Hideaki ; Imae, Joe ; Kobayashi, Tomoaki. / Hybrid static output feedback stabilization of two-dimensional LTI systems : A geometric method. Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. Vol. 2005 2005. pp. 6911-6916
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