Stabilization of switched nonlinear systems using multiple lyapunov function method

Min Wang; Jiaxin Feng; Georgi M. Dimirovski; Jun Zhao

doi:10.1109/ACC.2009.5160281

Stabilization of switched nonlinear systems using multiple lyapunov function method

Min Wang^*, Jiaxin Feng, Georgi M. Dimirovski, Jun Zhao

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

5 Citations (Scopus)

Abstract

The stabilization of a class of single input switched nonlinear systems is investigated in the paper. The systems concerned are of switched upper-triangular structure. The stabilization of the switched system under some switching law is investigated. Sufficient conditions are given under which the globally asymptotically stabilization problem is solvable. We exploit the structural characteristics of the switched nonlinear systems to construct the Lyapunov functions. The switching law and a nonlinear switched state feedback controller are explicitly designed. The relevant result for the linear switched system with the same structure is particularized.

Original language	English
Title of host publication	2009 American Control Conference, ACC 2009
Pages	1778-1782
Number of pages	5
DOIs	https://doi.org/10.1109/ACC.2009.5160281
Publication status	Published - 2009
Event	2009 American Control Conference, ACC 2009 - St. Louis, MO, United States Duration: 10 Jun 2009 → 12 Jun 2009

Publication series

Name	Proceedings of the American Control Conference
ISSN (Print)	0743-1619

Conference

Conference	2009 American Control Conference, ACC 2009
Country/Territory	United States
City	St. Louis, MO
Period	10/06/09 → 12/06/09

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10.1109/ACC.2009.5160281

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title = "Stabilization of switched nonlinear systems using multiple lyapunov function method",

abstract = "The stabilization of a class of single input switched nonlinear systems is investigated in the paper. The systems concerned are of switched upper-triangular structure. The stabilization of the switched system under some switching law is investigated. Sufficient conditions are given under which the globally asymptotically stabilization problem is solvable. We exploit the structural characteristics of the switched nonlinear systems to construct the Lyapunov functions. The switching law and a nonlinear switched state feedback controller are explicitly designed. The relevant result for the linear switched system with the same structure is particularized.",

author = "Min Wang and Jiaxin Feng and Dimirovski, {Georgi M.} and Jun Zhao",

year = "2009",

doi = "10.1109/ACC.2009.5160281",

language = "English",

isbn = "9781424445240",

series = "Proceedings of the American Control Conference",

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Wang, M, Feng, J, Dimirovski, GM & Zhao, J 2009, Stabilization of switched nonlinear systems using multiple lyapunov function method. in 2009 American Control Conference, ACC 2009., 5160281, Proceedings of the American Control Conference, pp. 1778-1782, 2009 American Control Conference, ACC 2009, St. Louis, MO, United States, 10/06/09. https://doi.org/10.1109/ACC.2009.5160281

TY - GEN

T1 - Stabilization of switched nonlinear systems using multiple lyapunov function method

AU - Wang, Min

AU - Feng, Jiaxin

AU - Dimirovski, Georgi M.

AU - Zhao, Jun

PY - 2009

Y1 - 2009

N2 - The stabilization of a class of single input switched nonlinear systems is investigated in the paper. The systems concerned are of switched upper-triangular structure. The stabilization of the switched system under some switching law is investigated. Sufficient conditions are given under which the globally asymptotically stabilization problem is solvable. We exploit the structural characteristics of the switched nonlinear systems to construct the Lyapunov functions. The switching law and a nonlinear switched state feedback controller are explicitly designed. The relevant result for the linear switched system with the same structure is particularized.

AB - The stabilization of a class of single input switched nonlinear systems is investigated in the paper. The systems concerned are of switched upper-triangular structure. The stabilization of the switched system under some switching law is investigated. Sufficient conditions are given under which the globally asymptotically stabilization problem is solvable. We exploit the structural characteristics of the switched nonlinear systems to construct the Lyapunov functions. The switching law and a nonlinear switched state feedback controller are explicitly designed. The relevant result for the linear switched system with the same structure is particularized.

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U2 - 10.1109/ACC.2009.5160281

DO - 10.1109/ACC.2009.5160281

M3 - Conference contribution

SN - 9781424445240

T3 - Proceedings of the American Control Conference

SP - 1778

EP - 1782

BT - 2009 American Control Conference, ACC 2009

T2 - 2009 American Control Conference, ACC 2009

Y2 - 10 June 2009 through 12 June 2009

ER -

Stabilization of switched nonlinear systems using multiple lyapunov function method

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