Nonlinear stabilization by dynamic parameter adaptation: Algebraic-Ricatti-Equation-based approach

S. Ibrir; M. Bettayeb; C. Y. Su

doi:10.3182/20140824-6-za-1003.02191

Nonlinear stabilization by dynamic parameter adaptation: Algebraic-Ricatti-Equation-based approach

S. Ibrir, M. Bettayeb, C. Y. Su

King Fahd University of Petroleum & Minerals

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

Abstract

A dynamic-gain parameterized controller is proposed to stabilize a class of nonlinear systems subject to norm-bounded uncertainties. The stabilizing controller is designed as a standard linear feedback with polynomial dynamic parameters. The expression of the dynamic parameters is defined from the solution of an Algebraic Ricatti Equation. The pendulum cart system with other examples are given as illustrative case studies to show the simplicity, the straightforwardness and the efficiency of the proposed design.

Original language	English
Title of host publication	19th IFAC World Congress IFAC 2014, Proceedings
Editors	Edward Boje, Xiaohua Xia
Publisher	IFAC Secretariat
Pages	4146-4151
Number of pages	6
ISBN (Electronic)	9783902823625
DOIs	https://doi.org/10.3182/20140824-6-za-1003.02191
State	Published - 2014

Publication series

Name	IFAC Proceedings Volumes (IFAC-PapersOnline)
Volume	19
ISSN (Print)	1474-6670

Bibliographical note

Publisher Copyright:
© IFAC.

Keywords

Dynamic-gain parameterization feedback
Feedforward nonlinear systems
Nonlinear systems
Pendulum system
SDRE-based control

ASJC Scopus subject areas

Control and Systems Engineering

Access to Document

10.3182/20140824-6-za-1003.02191

Cite this

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title = "Nonlinear stabilization by dynamic parameter adaptation: Algebraic-Ricatti-Equation-based approach",

abstract = "A dynamic-gain parameterized controller is proposed to stabilize a class of nonlinear systems subject to norm-bounded uncertainties. The stabilizing controller is designed as a standard linear feedback with polynomial dynamic parameters. The expression of the dynamic parameters is defined from the solution of an Algebraic Ricatti Equation. The pendulum cart system with other examples are given as illustrative case studies to show the simplicity, the straightforwardness and the efficiency of the proposed design.",

keywords = "Dynamic-gain parameterization feedback, Feedforward nonlinear systems, Nonlinear systems, Pendulum system, SDRE-based control",

author = "S. Ibrir and M. Bettayeb and Su, \{C. Y.\}",

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doi = "10.3182/20140824-6-za-1003.02191",

language = "English",

series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",

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Nonlinear stabilization by dynamic parameter adaptation: Algebraic-Ricatti-Equation-based approach. / Ibrir, S.; Bettayeb, M.; Su, C. Y.
19th IFAC World Congress IFAC 2014, Proceedings. ed. / Edward Boje; Xiaohua Xia. IFAC Secretariat, 2014. p. 4146-4151 (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 19).

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

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N2 - A dynamic-gain parameterized controller is proposed to stabilize a class of nonlinear systems subject to norm-bounded uncertainties. The stabilizing controller is designed as a standard linear feedback with polynomial dynamic parameters. The expression of the dynamic parameters is defined from the solution of an Algebraic Ricatti Equation. The pendulum cart system with other examples are given as illustrative case studies to show the simplicity, the straightforwardness and the efficiency of the proposed design.

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Nonlinear stabilization by dynamic parameter adaptation: Algebraic-Ricatti-Equation-based approach

Abstract

Publication series

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this