Stabilizing Fuzzy Output Control for a Class of Nonlinear Systems

The paper presents new conditions suitable in design of a stabilizing output controller for a class of continuous-time nonlinear systems, represented by Takagi-Sugeno models. Taking into account the affine properties of the TS model structure and applying the fuzzy control scheme relating to the par...

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Main Authors: Dušan Krokavec, Anna Filasová
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Advances in Fuzzy Systems
Online Access:http://dx.doi.org/10.1155/2013/294971
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author Dušan Krokavec
Anna Filasová
author_facet Dušan Krokavec
Anna Filasová
author_sort Dušan Krokavec
collection DOAJ
description The paper presents new conditions suitable in design of a stabilizing output controller for a class of continuous-time nonlinear systems, represented by Takagi-Sugeno models. Taking into account the affine properties of the TS model structure and applying the fuzzy control scheme relating to the parallel distributed output compensators, the sufficient design conditions are outlined in terms of linear matrix inequalities. The proposed procedure decouples the Lyapunov matrix and the system parameter matrices in the LMIs and guarantees global stability of the system. Simulation result illustrates the design procedure and demonstrates the performances of the proposed design method.
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institution Kabale University
issn 1687-7101
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publishDate 2013-01-01
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series Advances in Fuzzy Systems
spelling doaj-art-a84d62faf7be42c1ae33828623f9dc7e2025-08-20T03:38:54ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2013-01-01201310.1155/2013/294971294971Stabilizing Fuzzy Output Control for a Class of Nonlinear SystemsDušan Krokavec0Anna Filasová1Department of Cybernetics and Artificial Intelligence, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Letná 9, 042 00 Košice, SlovakiaDepartment of Cybernetics and Artificial Intelligence, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Letná 9, 042 00 Košice, SlovakiaThe paper presents new conditions suitable in design of a stabilizing output controller for a class of continuous-time nonlinear systems, represented by Takagi-Sugeno models. Taking into account the affine properties of the TS model structure and applying the fuzzy control scheme relating to the parallel distributed output compensators, the sufficient design conditions are outlined in terms of linear matrix inequalities. The proposed procedure decouples the Lyapunov matrix and the system parameter matrices in the LMIs and guarantees global stability of the system. Simulation result illustrates the design procedure and demonstrates the performances of the proposed design method.http://dx.doi.org/10.1155/2013/294971
spellingShingle Dušan Krokavec
Anna Filasová
Stabilizing Fuzzy Output Control for a Class of Nonlinear Systems
Advances in Fuzzy Systems
title Stabilizing Fuzzy Output Control for a Class of Nonlinear Systems
title_full Stabilizing Fuzzy Output Control for a Class of Nonlinear Systems
title_fullStr Stabilizing Fuzzy Output Control for a Class of Nonlinear Systems
title_full_unstemmed Stabilizing Fuzzy Output Control for a Class of Nonlinear Systems
title_short Stabilizing Fuzzy Output Control for a Class of Nonlinear Systems
title_sort stabilizing fuzzy output control for a class of nonlinear systems
url http://dx.doi.org/10.1155/2013/294971
work_keys_str_mv AT dusankrokavec stabilizingfuzzyoutputcontrolforaclassofnonlinearsystems
AT annafilasova stabilizingfuzzyoutputcontrolforaclassofnonlinearsystems