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

Guisheng Zhai, H. Kondo, J. Imae, T. Kobayashi

Research output: Contribution to journalArticle

6 Citations (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 hybrid control method with various examples for different cases.

Original languageEnglish
Pages (from-to)982-990
Number of pages9
JournalInternational Journal of Control
Volume79
Issue number8
DOIs
Publication statusPublished - 2006 Aug
Externally publishedYes

Fingerprint

Stabilization
Feedback
Closed loop systems

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

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

In: International Journal of Control, Vol. 79, No. 8, 08.2006, p. 982-990.

Research output: Contribution to journalArticle

@article{cf75033d9cb74e28ae2a0bbbd7cc57df,
title = "Hybrid static output feedback stabilization of two-dimensional LTI systems: A geometric method",
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 hybrid control method with various examples for different cases.",
author = "Guisheng Zhai and H. Kondo and J. Imae and T. Kobayashi",
year = "2006",
month = "8",
doi = "10.1080/00207170600792974",
language = "English",
volume = "79",
pages = "982--990",
journal = "International Journal of Control",
issn = "0020-7179",
publisher = "Taylor and Francis Ltd.",
number = "8",

}

TY - JOUR

T1 - Hybrid static output feedback stabilization of two-dimensional LTI systems

T2 - A geometric method

AU - Zhai, Guisheng

AU - Kondo, H.

AU - Imae, J.

AU - Kobayashi, T.

PY - 2006/8

Y1 - 2006/8

N2 - 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 hybrid control method with various examples for different cases.

AB - 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 hybrid control method with various examples for different cases.

UR - http://www.scopus.com/inward/record.url?scp=33745415265&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33745415265&partnerID=8YFLogxK

U2 - 10.1080/00207170600792974

DO - 10.1080/00207170600792974

M3 - Article

AN - SCOPUS:33745415265

VL - 79

SP - 982

EP - 990

JO - International Journal of Control

JF - International Journal of Control

SN - 0020-7179

IS - 8

ER -