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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Language: | English |
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Wiley
2012-01-01
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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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id | doaj-art-cffc8ecfd04543b4b9a799684b7658bf |
institution | Kabale University |
issn | 1110-757X 1687-0042 |
language | English |
publishDate | 2012-01-01 |
publisher | Wiley |
record_format | Article |
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 |