Hybrid static output feedback stabilization of second-order linear time-invariant systems

Bo Hu, Guisheng Zhai, Anthony N. Michel

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

For second-order linear time-invariant (LTI) systems which are not stabilizable via a single static output feedback, we study the open problem whether there exists a finite-state hybrid static output feedback to asymptotically stabilize the system. We show that the answer to this question is affirmative for a class of second-order LTI systems, by constructing a 2-state static output feedback incorporated with a conic switching law.

Original languageEnglish
Pages (from-to)475-485
Number of pages11
JournalLinear Algebra and Its Applications
Volume351-352
DOIs
Publication statusPublished - 2002 Oct 13
Externally publishedYes

Fingerprint

Stabilization
Feedback

Keywords

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

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Discrete Mathematics and Combinatorics
  • Geometry and Topology
  • Numerical Analysis

Cite this

Hybrid static output feedback stabilization of second-order linear time-invariant systems. / Hu, Bo; Zhai, Guisheng; Michel, Anthony N.

In: Linear Algebra and Its Applications, Vol. 351-352, 13.10.2002, p. 475-485.

Research output: Contribution to journalArticle

@article{602cff62abcc4e2391c1b48b1121d42f,
title = "Hybrid static output feedback stabilization of second-order linear time-invariant systems",
abstract = "For second-order linear time-invariant (LTI) systems which are not stabilizable via a single static output feedback, we study the open problem whether there exists a finite-state hybrid static output feedback to asymptotically stabilize the system. We show that the answer to this question is affirmative for a class of second-order LTI systems, by constructing a 2-state static output feedback incorporated with a conic switching law.",
keywords = "Conic switching law, Hybrid static output feedback, Second-order LTI system, Stabilization",
author = "Bo Hu and Guisheng Zhai and Michel, {Anthony N.}",
year = "2002",
month = "10",
day = "13",
doi = "10.1016/S0024-3795(01)00471-2",
language = "English",
volume = "351-352",
pages = "475--485",
journal = "Linear Algebra and Its Applications",
issn = "0024-3795",
publisher = "Elsevier Inc.",

}

TY - JOUR

T1 - Hybrid static output feedback stabilization of second-order linear time-invariant systems

AU - Hu, Bo

AU - Zhai, Guisheng

AU - Michel, Anthony N.

PY - 2002/10/13

Y1 - 2002/10/13

N2 - For second-order linear time-invariant (LTI) systems which are not stabilizable via a single static output feedback, we study the open problem whether there exists a finite-state hybrid static output feedback to asymptotically stabilize the system. We show that the answer to this question is affirmative for a class of second-order LTI systems, by constructing a 2-state static output feedback incorporated with a conic switching law.

AB - For second-order linear time-invariant (LTI) systems which are not stabilizable via a single static output feedback, we study the open problem whether there exists a finite-state hybrid static output feedback to asymptotically stabilize the system. We show that the answer to this question is affirmative for a class of second-order LTI systems, by constructing a 2-state static output feedback incorporated with a conic switching law.

KW - Conic switching law

KW - Hybrid static output feedback

KW - Second-order LTI system

KW - Stabilization

UR - http://www.scopus.com/inward/record.url?scp=31244432493&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=31244432493&partnerID=8YFLogxK

U2 - 10.1016/S0024-3795(01)00471-2

DO - 10.1016/S0024-3795(01)00471-2

M3 - Article

VL - 351-352

SP - 475

EP - 485

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

SN - 0024-3795

ER -