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Robust H∞ static output feedback controller design for parameter dependent polynomial systems: An iterative sums of squares approach

This paper considers the problem of designing a robust H∞ static output feedback controller for polynomial systems with parametric uncertainties. Sufficient conditions for the existence of a nonlinear H∞ static output feedback controller are given in terms of solvability conditions of polynomial mat...

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Main Author: Md Saat, Mohd Shakir
Format: Article
Language:English
Published: 2012
Subjects:
TK Electrical engineering. Electronics Nuclear engineering
Online Access:http://eprints.utem.edu.my/id/eprint/9002/1/1-s2.0-S001600321200289X-main.pdf%3F_tid%3D6950d524-f99b-11e2-be4d-00000aab0f27%26acdnat%3D1375245845_2f14ff87bdbbffe5c4f3a2d19405e8b1
http://eprints.utem.edu.my/id/eprint/9002/
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spelling my.utem.eprints.90022015-05-28T04:00:44Z http://eprints.utem.edu.my/id/eprint/9002/ Robust H∞ static output feedback controller design for parameter dependent polynomial systems: An iterative sums of squares approach Md Saat, Mohd Shakir TK Electrical engineering. Electronics Nuclear engineering This paper considers the problem of designing a robust H∞ static output feedback controller for polynomial systems with parametric uncertainties. Sufficient conditions for the existence of a nonlinear H∞ static output feedback controller are given in terms of solvability conditions of polynomial matrix inequalities. An iterative sum of squares decomposition is proposed to solve these polynomial matrix inequalities. The proposed controller guarantees that the closed-loop system is stable and the L2-gain of the mapping from exogenous input noise to the controlled output is less than or equal to a prescribed value. Numerical examples are provided to demonstrate the validity of applied methods. 2012 Article PeerReviewed application/pdf en http://eprints.utem.edu.my/id/eprint/9002/1/1-s2.0-S001600321200289X-main.pdf%3F_tid%3D6950d524-f99b-11e2-be4d-00000aab0f27%26acdnat%3D1375245845_2f14ff87bdbbffe5c4f3a2d19405e8b1 Md Saat, Mohd Shakir (2012) Robust H∞ static output feedback controller design for parameter dependent polynomial systems: An iterative sums of squares approach. Journal of The Franklin Institute. pp. 318-330. ISSN 0016-0032
institution Universiti Teknikal Malaysia Melaka
building UTEM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknikal Malaysia Melaka
content_source UTEM Institutional Repository
url_provider http://eprints.utem.edu.my/
language English
topic TK Electrical engineering. Electronics Nuclear engineering
spellingShingle TK Electrical engineering. Electronics Nuclear engineering
Md Saat, Mohd Shakir
Robust H∞ static output feedback controller design for parameter dependent polynomial systems: An iterative sums of squares approach
description This paper considers the problem of designing a robust H∞ static output feedback controller for polynomial systems with parametric uncertainties. Sufficient conditions for the existence of a nonlinear H∞ static output feedback controller are given in terms of solvability conditions of polynomial matrix inequalities. An iterative sum of squares decomposition is proposed to solve these polynomial matrix inequalities. The proposed controller guarantees that the closed-loop system is stable and the L2-gain of the mapping from exogenous input noise to the controlled output is less than or equal to a prescribed value. Numerical examples are provided to demonstrate the validity of applied methods.
format Article
author Md Saat, Mohd Shakir
author_facet Md Saat, Mohd Shakir
author_sort Md Saat, Mohd Shakir
title Robust H∞ static output feedback controller design for parameter dependent polynomial systems: An iterative sums of squares approach
title_short Robust H∞ static output feedback controller design for parameter dependent polynomial systems: An iterative sums of squares approach
title_full Robust H∞ static output feedback controller design for parameter dependent polynomial systems: An iterative sums of squares approach
title_fullStr Robust H∞ static output feedback controller design for parameter dependent polynomial systems: An iterative sums of squares approach
title_full_unstemmed Robust H∞ static output feedback controller design for parameter dependent polynomial systems: An iterative sums of squares approach
title_sort robust h∞ static output feedback controller design for parameter dependent polynomial systems: an iterative sums of squares approach
publishDate 2012
url http://eprints.utem.edu.my/id/eprint/9002/1/1-s2.0-S001600321200289X-main.pdf%3F_tid%3D6950d524-f99b-11e2-be4d-00000aab0f27%26acdnat%3D1375245845_2f14ff87bdbbffe5c4f3a2d19405e8b1
http://eprints.utem.edu.my/id/eprint/9002/
_version_ 1665905381452283904
score 13.160551

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