Robust Local Regularity and Controllability of Uncertain TS Fuzzy Descriptor Systems

The robust local regularity and controllability problem for the Takagi-Sugeno (TS) fuzzy descriptor systems is studied in this paper. Under the assumptions that the nominal TS fuzzy descriptor systems are locally regular and controllable, a sufficient criterion is proposed to preserve the assumed pr...

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Main Authors: Shinn-Horng Chen, Wen-Hsien Ho, Jyh-Horng Chou
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/825416
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author Shinn-Horng Chen
Wen-Hsien Ho
Jyh-Horng Chou
author_facet Shinn-Horng Chen
Wen-Hsien Ho
Jyh-Horng Chou
author_sort Shinn-Horng Chen
collection DOAJ
description The robust local regularity and controllability problem for the Takagi-Sugeno (TS) fuzzy descriptor systems is studied in this paper. Under the assumptions that the nominal TS fuzzy descriptor systems are locally regular and controllable, a sufficient criterion is proposed to preserve the assumed properties when the structured parameter uncertainties are added into the nominal TS fuzzy descriptor systems. The proposed sufficient criterion can provide the explicit relationship of the bounds on parameter uncertainties for preserving the assumed properties. An example is given to illustrate the application of the proposed sufficient condition.
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institution Kabale University
issn 1110-757X
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language English
publishDate 2012-01-01
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series Journal of Applied Mathematics
spelling doaj-art-cffc8ecfd04543b4b9a799684b7658bf2025-02-03T00:59:40ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/825416825416Robust Local Regularity and Controllability of Uncertain TS Fuzzy Descriptor SystemsShinn-Horng Chen0Wen-Hsien Ho1Jyh-Horng Chou2Department of Mechanical/Electrical Engineering, National Kaohsiung University of Applied Sciences, 415 Chien-Kung Road, Kaohsiung 807, TaiwanDepartment of Healthcare Administration and Medical Informatics, Kaohsiung Medical University, 100 Shi-Chuan 1st Road, Kaohsiung 807, TaiwanDepartment of Mechanical/Electrical Engineering, National Kaohsiung University of Applied Sciences, 415 Chien-Kung Road, Kaohsiung 807, TaiwanThe robust local regularity and controllability problem for the Takagi-Sugeno (TS) fuzzy descriptor systems is studied in this paper. Under the assumptions that the nominal TS fuzzy descriptor systems are locally regular and controllable, a sufficient criterion is proposed to preserve the assumed properties when the structured parameter uncertainties are added into the nominal TS fuzzy descriptor systems. The proposed sufficient criterion can provide the explicit relationship of the bounds on parameter uncertainties for preserving the assumed properties. An example is given to illustrate the application of the proposed sufficient condition.http://dx.doi.org/10.1155/2012/825416
spellingShingle Shinn-Horng Chen
Wen-Hsien Ho
Jyh-Horng Chou
Robust Local Regularity and Controllability of Uncertain TS Fuzzy Descriptor Systems
Journal of Applied Mathematics
title Robust Local Regularity and Controllability of Uncertain TS Fuzzy Descriptor Systems
title_full Robust Local Regularity and Controllability of Uncertain TS Fuzzy Descriptor Systems
title_fullStr Robust Local Regularity and Controllability of Uncertain TS Fuzzy Descriptor Systems
title_full_unstemmed Robust Local Regularity and Controllability of Uncertain TS Fuzzy Descriptor Systems
title_short Robust Local Regularity and Controllability of Uncertain TS Fuzzy Descriptor Systems
title_sort robust local regularity and controllability of uncertain ts fuzzy descriptor systems
url http://dx.doi.org/10.1155/2012/825416
work_keys_str_mv AT shinnhorngchen robustlocalregularityandcontrollabilityofuncertaintsfuzzydescriptorsystems
AT wenhsienho robustlocalregularityandcontrollabilityofuncertaintsfuzzydescriptorsystems
AT jyhhorngchou robustlocalregularityandcontrollabilityofuncertaintsfuzzydescriptorsystems