Generalised H2 controller synthesis for uncertain discrete-time fuzzy systems via basis-dependent Lyapunov functions.

Generalised H2 controller synthesis for uncertain discrete-time fuzzy systems via basis-dependent Lyapunov functions.

The generalised H2 control problem is investigated for a class of discrete-time fuzzy systems with uncertainties. The uncertain fuzzy dynamic model is used to represent a class of uncertain discrete-time complex nonlinear systems which include both linguistic information and system uncertainties. Us...

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Main Authors: Zhou, S., Feng, G.
Format: Villanova Faculty Authorship
Language:English
Published: 2006
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spelling Generalised H2 controller synthesis for uncertain discrete-time fuzzy systems via basis-dependent Lyapunov functions.
Zhou, S.
Feng, G.
The generalised H2 control problem is investigated for a class of discrete-time fuzzy systems with uncertainties. The uncertain fuzzy dynamic model is used to represent a class of uncertain discrete-time complex nonlinear systems which include both linguistic information and system uncertainties. Using basis-dependent Lyapunov functions an H2 control design approach is developed. It is shown that the controller can be obtained by solving a set of linear matrix inequalities. It is also shown that the basis-dependent results are less conservative than the basis-independent ones. Numerical examples including a discrete chaotic Lorenz system are also given to demonstrate the applicability of the proposed approach.
2006
Villanova Faculty Authorship
vudl:176110
IEE Proceedings-Control Theory Applications 153(1),January 2006, 74-81 .
en
dc.title_txt_mv Generalised H2 controller synthesis for uncertain discrete-time fuzzy systems via basis-dependent Lyapunov functions.
dc.creator_txt_mv Zhou, S.
Feng, G.
dc.description_txt_mv The generalised H2 control problem is investigated for a class of discrete-time fuzzy systems with uncertainties. The uncertain fuzzy dynamic model is used to represent a class of uncertain discrete-time complex nonlinear systems which include both linguistic information and system uncertainties. Using basis-dependent Lyapunov functions an H2 control design approach is developed. It is shown that the controller can be obtained by solving a set of linear matrix inequalities. It is also shown that the basis-dependent results are less conservative than the basis-independent ones. Numerical examples including a discrete chaotic Lorenz system are also given to demonstrate the applicability of the proposed approach.
dc.date_txt_mv 2006
dc.format_txt_mv Villanova Faculty Authorship
dc.identifier_txt_mv vudl:176110
dc.source_txt_mv IEE Proceedings-Control Theory Applications 153(1),January 2006, 74-81 .
dc.language_txt_mv en
author Zhou, S.
Feng, G.
spellingShingle Zhou, S.
Feng, G.
Generalised H2 controller synthesis for uncertain discrete-time fuzzy systems via basis-dependent Lyapunov functions.
author_facet Zhou, S.
Feng, G.
dc_source_str_mv IEE Proceedings-Control Theory Applications 153(1),January 2006, 74-81 .
format Villanova Faculty Authorship
author_sort Zhou, S.
dc_date_str 2006
dc_title_str Generalised H2 controller synthesis for uncertain discrete-time fuzzy systems via basis-dependent Lyapunov functions.
description The generalised H2 control problem is investigated for a class of discrete-time fuzzy systems with uncertainties. The uncertain fuzzy dynamic model is used to represent a class of uncertain discrete-time complex nonlinear systems which include both linguistic information and system uncertainties. Using basis-dependent Lyapunov functions an H2 control design approach is developed. It is shown that the controller can be obtained by solving a set of linear matrix inequalities. It is also shown that the basis-dependent results are less conservative than the basis-independent ones. Numerical examples including a discrete chaotic Lorenz system are also given to demonstrate the applicability of the proposed approach.
title Generalised H2 controller synthesis for uncertain discrete-time fuzzy systems via basis-dependent Lyapunov functions.
title_full Generalised H2 controller synthesis for uncertain discrete-time fuzzy systems via basis-dependent Lyapunov functions.
title_fullStr Generalised H2 controller synthesis for uncertain discrete-time fuzzy systems via basis-dependent Lyapunov functions.
title_full_unstemmed Generalised H2 controller synthesis for uncertain discrete-time fuzzy systems via basis-dependent Lyapunov functions.
title_short Generalised H2 controller synthesis for uncertain discrete-time fuzzy systems via basis-dependent Lyapunov functions.
title_sort generalised h2 controller synthesis for uncertain discrete-time fuzzy systems via basis-dependent lyapunov functions.
publishDate 2006
normalized_sort_date 2006-01-01T00:00:00Z
language English
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