Robust stabilization with H∞ performance for a class of linear parameter-dependent systems

We focus on the issue of robust stabilization with H∞ performance for a class of linear time-invariant parameter-dependent systems under norm-bounded nonlinear uncertainties. By combining the idea of polynomially parameter-dependent quadratic Lyapunov functions and linear matrix inequalities formula...

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Main Author:	Hamid Reza Karimi
Format:	Article
Language:	English
Published:	Hindawi Limited 2006-01-01
Series:	Mathematical Problems in Engineering
Online Access:	http://dx.doi.org/10.1155/MPE/2006/59867

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spelling	doaj-553d6c6be3de444496b1c2859f0a69822020-11-24T22:52:41ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472006-01-01200610.1155/MPE/2006/5986759867Robust stabilization with H∞ performance for a class of linear parameter-dependent systemsHamid Reza Karimi0Control & Intelligent Processing Center of Excellence, School of Electrical and Computer Engineering, Faculty of Engineering, University of Tehran, Tehran 14395-515, IranWe focus on the issue of robust stabilization with H∞ performance for a class of linear time-invariant parameter-dependent systems under norm-bounded nonlinear uncertainties. By combining the idea of polynomially parameter-dependent quadratic Lyapunov functions and linear matrix inequalities formulations, some parameter-independent conditions with high precision are given to guarantee robust asymptotic stability and robust disturbance attenuation of the linear time-invariant parameter-dependent system in the presence of norm-bounded nonlinear uncertainties. The parameter-dependent state-feedback control is designed based on the Hamilton-Jacobi-Isaac (HJI) method. The applicability of the proposed design method is illustrated in a simple example.http://dx.doi.org/10.1155/MPE/2006/59867
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Hamid Reza Karimi
spellingShingle	Hamid Reza Karimi Robust stabilization with H∞ performance for a class of linear parameter-dependent systems Mathematical Problems in Engineering
author_facet	Hamid Reza Karimi
author_sort	Hamid Reza Karimi
title	Robust stabilization with H∞ performance for a class of linear parameter-dependent systems
title_short	Robust stabilization with H∞ performance for a class of linear parameter-dependent systems
title_full	Robust stabilization with H∞ performance for a class of linear parameter-dependent systems
title_fullStr	Robust stabilization with H∞ performance for a class of linear parameter-dependent systems
title_full_unstemmed	Robust stabilization with H∞ performance for a class of linear parameter-dependent systems
title_sort	robust stabilization with h∞ performance for a class of linear parameter-dependent systems
publisher	Hindawi Limited
series	Mathematical Problems in Engineering
issn	1024-123X 1563-5147
publishDate	2006-01-01
description	We focus on the issue of robust stabilization with H∞ performance for a class of linear time-invariant parameter-dependent systems under norm-bounded nonlinear uncertainties. By combining the idea of polynomially parameter-dependent quadratic Lyapunov functions and linear matrix inequalities formulations, some parameter-independent conditions with high precision are given to guarantee robust asymptotic stability and robust disturbance attenuation of the linear time-invariant parameter-dependent system in the presence of norm-bounded nonlinear uncertainties. The parameter-dependent state-feedback control is designed based on the Hamilton-Jacobi-Isaac (HJI) method. The applicability of the proposed design method is illustrated in a simple example.
url	http://dx.doi.org/10.1155/MPE/2006/59867
work_keys_str_mv	AT hamidrezakarimi robuststabilizationwithhperformanceforaclassoflinearparameterdependentsystems
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Robust stabilization with H∞ performance for a class of linear parameter-dependent systems

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