Nonlinear robust H∞ static output feedback controller design for parameter dependent polynomial systems: An iterative sum of squares approach
The design of a robust nonlinear H∞ static output feedback controller for parameter dependent polynomial systems is a hard problem. This paper presents a computational relaxation in form of an iterative design approach. The proposed controller guarantees the L2-gain of the mapping from exogenous inp...
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my.utem.eprints.90432015-05-28T04:01:00Z http://eprints.utem.edu.my/id/eprint/9043/ Nonlinear robust H∞ static output feedback controller design for parameter dependent polynomial systems: An iterative sum of squares approach Md Saat, Mohd Shakir TK Electrical engineering. Electronics Nuclear engineering The design of a robust nonlinear H∞ static output feedback controller for parameter dependent polynomial systems is a hard problem. This paper presents a computational relaxation in form of an iterative design approach. The proposed controller guarantees the L2-gain of the mapping from exogenous input noise to the controlled output is less than or equal to a prescribed value. The sufficient conditions for the existence of nonlinear H∞ static output feedback controller are given in terms of solvability conditions of polynomial matrix inequalities, which are solved using sum of squares decomposition. Numerical examples are provided to demonstrate the validity of the applied methods. 2011 Conference or Workshop Item PeerReviewed application/pdf en http://eprints.utem.edu.my/id/eprint/9043/1/CDC2011.pdf Md Saat, Mohd Shakir (2011) Nonlinear robust H∞ static output feedback controller design for parameter dependent polynomial systems: An iterative sum of squares approach. In: 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC), 2011 , December 12-15, 2011, Orlando, Florida US. |
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TK Electrical engineering. Electronics Nuclear engineering Md Saat, Mohd Shakir Nonlinear robust H∞ static output feedback controller design for parameter dependent polynomial systems: An iterative sum of squares approach |
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The design of a robust nonlinear H∞ static output feedback controller for parameter dependent polynomial systems is a hard problem. This paper presents a computational relaxation in form of an iterative design approach. The proposed controller guarantees the L2-gain of the mapping from exogenous input noise to the controlled output is less than or equal to a prescribed value. The sufficient conditions for the existence of nonlinear H∞ static output feedback controller are given in terms of solvability conditions of polynomial matrix inequalities, which are solved using sum of squares decomposition. Numerical examples are provided to demonstrate the validity of the applied methods. |
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Conference or Workshop Item |
author |
Md Saat, Mohd Shakir |
author_facet |
Md Saat, Mohd Shakir |
author_sort |
Md Saat, Mohd Shakir |
title |
Nonlinear robust H∞ static output feedback controller design for parameter dependent polynomial systems: An iterative sum of squares approach |
title_short |
Nonlinear robust H∞ static output feedback controller design for parameter dependent polynomial systems: An iterative sum of squares approach |
title_full |
Nonlinear robust H∞ static output feedback controller design for parameter dependent polynomial systems: An iterative sum of squares approach |
title_fullStr |
Nonlinear robust H∞ static output feedback controller design for parameter dependent polynomial systems: An iterative sum of squares approach |
title_full_unstemmed |
Nonlinear robust H∞ static output feedback controller design for parameter dependent polynomial systems: An iterative sum of squares approach |
title_sort |
nonlinear robust h∞ static output feedback controller design for parameter dependent polynomial systems: an iterative sum of squares approach |
publishDate |
2011 |
url |
http://eprints.utem.edu.my/id/eprint/9043/1/CDC2011.pdf http://eprints.utem.edu.my/id/eprint/9043/ |
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13.159267 |