Stability analysis and controller synthesis for parameter-dependent polynomial nonlinear systems

Dan Zhao; Jian Liang Wang; Eng Kee Poh; Fang Liao

doi:10.1109/ACC.2007.4282615

Stability analysis and controller synthesis for parameter-dependent polynomial nonlinear systems

Dan Zhao, Jian Liang Wang, Eng Kee Poh, Fang Liao

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

3 Citations (Scopus)

Abstract

This paper addresses the stability analysis and state feedback synthesis for parameter-dependent nonlinear systems with polynomial vector fields. Based on the Lyapunov stability theorem, sufficient conditions to test the stability of the closed-loop system are presented and the synthesis problem of stabilizing feedback controller to enlarge the regions of attraction is converted to the optimization problem based sum of squares, which can be solved via semidefinite programming. A parameter-dependant Lyapunov function is adopted to reduce the conservativeness of the controller design.

Original language	English
Title of host publication	Proceedings of the 2007 American Control Conference, ACC
Pages	6015-6020
Number of pages	6
DOIs	https://doi.org/10.1109/ACC.2007.4282615
Publication status	Published - 2007
Externally published	Yes
Event	2007 American Control Conference, ACC - New York, NY, United States Duration: 9 Jul 2007 → 13 Jul 2007

Publication series

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

Conference

Conference	2007 American Control Conference, ACC
Country/Territory	United States
City	New York, NY
Period	9/07/07 → 13/07/07

ASJC Scopus subject areas

Electrical and Electronic Engineering

Access to Document

10.1109/ACC.2007.4282615

Cite this

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title = "Stability analysis and controller synthesis for parameter-dependent polynomial nonlinear systems",

abstract = "This paper addresses the stability analysis and state feedback synthesis for parameter-dependent nonlinear systems with polynomial vector fields. Based on the Lyapunov stability theorem, sufficient conditions to test the stability of the closed-loop system are presented and the synthesis problem of stabilizing feedback controller to enlarge the regions of attraction is converted to the optimization problem based sum of squares, which can be solved via semidefinite programming. A parameter-dependant Lyapunov function is adopted to reduce the conservativeness of the controller design.",

author = "Dan Zhao and Wang, {Jian Liang} and Poh, {Eng Kee} and Fang Liao",

year = "2007",

doi = "10.1109/ACC.2007.4282615",

language = "English",

isbn = "1424409888",

series = "Proceedings of the American Control Conference",

pages = "6015--6020",

booktitle = "Proceedings of the 2007 American Control Conference, ACC",

note = "2007 American Control Conference, ACC ; Conference date: 09-07-2007 Through 13-07-2007",

}

Zhao, D, Wang, JL, Poh, EK & Liao, F 2007, Stability analysis and controller synthesis for parameter-dependent polynomial nonlinear systems. in Proceedings of the 2007 American Control Conference, ACC., 4282615, Proceedings of the American Control Conference, pp. 6015-6020, 2007 American Control Conference, ACC, New York, NY, United States, 9/07/07. https://doi.org/10.1109/ACC.2007.4282615

Stability analysis and controller synthesis for parameter-dependent polynomial nonlinear systems. / Zhao, Dan; Wang, Jian Liang; Poh, Eng Kee et al.
Proceedings of the 2007 American Control Conference, ACC. 2007. p. 6015-6020 4282615 (Proceedings of the American Control Conference).

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

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AU - Wang, Jian Liang

AU - Poh, Eng Kee

AU - Liao, Fang

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N2 - This paper addresses the stability analysis and state feedback synthesis for parameter-dependent nonlinear systems with polynomial vector fields. Based on the Lyapunov stability theorem, sufficient conditions to test the stability of the closed-loop system are presented and the synthesis problem of stabilizing feedback controller to enlarge the regions of attraction is converted to the optimization problem based sum of squares, which can be solved via semidefinite programming. A parameter-dependant Lyapunov function is adopted to reduce the conservativeness of the controller design.

AB - This paper addresses the stability analysis and state feedback synthesis for parameter-dependent nonlinear systems with polynomial vector fields. Based on the Lyapunov stability theorem, sufficient conditions to test the stability of the closed-loop system are presented and the synthesis problem of stabilizing feedback controller to enlarge the regions of attraction is converted to the optimization problem based sum of squares, which can be solved via semidefinite programming. A parameter-dependant Lyapunov function is adopted to reduce the conservativeness of the controller design.

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M3 - Conference contribution

AN - SCOPUS:46449112172

SN - 1424409888

SN - 9781424409884

T3 - Proceedings of the American Control Conference

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BT - Proceedings of the 2007 American Control Conference, ACC

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ER -

Stability analysis and controller synthesis for parameter-dependent polynomial nonlinear systems

Abstract

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Conference

ASJC Scopus subject areas

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