Robust Fuzzy H∞ Output Feedback Control for a Class of Nonlinear Uncertain Systems with Mixed Time Delays

Robust Fuzzy H∞ Output Feedback Control for a Class of Nonlinear Uncertain Systems with Mixed Time Delays

This paper studies the problem of delay-dependent robust H∞ output feedback control for a class of uncertain fuzzy neutral systems with both discrete and distributed delays. The system is described by a state-space Takagi-Sugeno fuzzy model with distributed delays and norm-bounded parameter uncertai...

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Main Authors: Xiaona Song, Shanzhong Liu
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2013/197845
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spelling doaj-c528b972334447cc820f229d1b28d5e62020-11-24T22:46:56ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472013-01-01201310.1155/2013/197845197845Robust Fuzzy H∞ Output Feedback Control for a Class of Nonlinear Uncertain Systems with Mixed Time DelaysXiaona Song0Shanzhong Liu1Electronic and Information Engineering College, Henan University of Science and Technology, Luoyang 471023, ChinaElectronic and Information Engineering College, Henan University of Science and Technology, Luoyang 471023, ChinaThis paper studies the problem of delay-dependent robust H∞ output feedback control for a class of uncertain fuzzy neutral systems with both discrete and distributed delays. The system is described by a state-space Takagi-Sugeno fuzzy model with distributed delays and norm-bounded parameter uncertainties. The purpose is to design a fuzzy dynamic output feedback controller which ensures the robust asymptotic stability of the closed-loop fuzzy neutral system and satisfies an H∞ norm bound constraint for all admissible uncertainties. In terms of linear matrix inequalities, sufficient conditions for the solvability of this problem are presented. Finally, a numerical example is included to demonstrate the effectiveness of the proposed method.http://dx.doi.org/10.1155/2013/197845
collection DOAJ
language English
format Article
sources DOAJ
author Xiaona Song
Shanzhong Liu
spellingShingle Xiaona Song
Shanzhong Liu
Robust Fuzzy H∞ Output Feedback Control for a Class of Nonlinear Uncertain Systems with Mixed Time Delays
Mathematical Problems in Engineering
author_facet Xiaona Song
Shanzhong Liu
author_sort Xiaona Song
title Robust Fuzzy H∞ Output Feedback Control for a Class of Nonlinear Uncertain Systems with Mixed Time Delays
title_short Robust Fuzzy H∞ Output Feedback Control for a Class of Nonlinear Uncertain Systems with Mixed Time Delays
title_full Robust Fuzzy H∞ Output Feedback Control for a Class of Nonlinear Uncertain Systems with Mixed Time Delays
title_fullStr Robust Fuzzy H∞ Output Feedback Control for a Class of Nonlinear Uncertain Systems with Mixed Time Delays
title_full_unstemmed Robust Fuzzy H∞ Output Feedback Control for a Class of Nonlinear Uncertain Systems with Mixed Time Delays
title_sort robust fuzzy h∞ output feedback control for a class of nonlinear uncertain systems with mixed time delays
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2013-01-01
description This paper studies the problem of delay-dependent robust H∞ output feedback control for a class of uncertain fuzzy neutral systems with both discrete and distributed delays. The system is described by a state-space Takagi-Sugeno fuzzy model with distributed delays and norm-bounded parameter uncertainties. The purpose is to design a fuzzy dynamic output feedback controller which ensures the robust asymptotic stability of the closed-loop fuzzy neutral system and satisfies an H∞ norm bound constraint for all admissible uncertainties. In terms of linear matrix inequalities, sufficient conditions for the solvability of this problem are presented. Finally, a numerical example is included to demonstrate the effectiveness of the proposed method.
url http://dx.doi.org/10.1155/2013/197845
work_keys_str_mv AT xiaonasong robustfuzzyhoutputfeedbackcontrolforaclassofnonlinearuncertainsystemswithmixedtimedelays
AT shanzhongliu robustfuzzyhoutputfeedbackcontrolforaclassofnonlinearuncertainsystemswithmixedtimedelays
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