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
DOIs
Publication statusPublished - 2005 Dec 1
Event44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 - Seville, Spain
Duration: 2005 Dec 122005 Dec 15

Publication series

NameProceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Volume2005

Conference

Conference44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
CountrySpain
CitySeville
Period05/12/1205/12/15

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)

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  • 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 (pp. 6911-6916). [1583274] (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Vol. 2005). https://doi.org/10.1109/CDC.2005.1583274