Multiobjective nonfragile fuzzy control for nonlinear stochastic financial systems with mixed time delays
In this study, a multiobjective nonfragile control is proposed for a class of stochastic Takagi and Sugeno (T–S) fuzzy systems with mixed time delays to guarantee the optimal H2 and H∞ performance simultaneously. Firstly, based on the T–S fuzzy model, two form of nonfragile state feedback controller...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2019-09-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | http://www.journals.vu.lt/nonlinear-analysis/article/view/14506 |
| _version_ | 1818343522560901120 |
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| author | Yang Yang Jianwei Xia Jianli Zhao Xiaodi Li Zhen Wang |
| author_facet | Yang Yang Jianwei Xia Jianli Zhao Xiaodi Li Zhen Wang |
| author_sort | Yang Yang |
| collection | DOAJ |
| description | In this study, a multiobjective nonfragile control is proposed for a class of stochastic Takagi and Sugeno (T–S) fuzzy systems with mixed time delays to guarantee the optimal H2 and H∞ performance simultaneously. Firstly, based on the T–S fuzzy model, two form of nonfragile state feedback controllers are designed to stabilize the T–S fuzzy system, that is to say, nonfragile state feedback controllers minimize the H2 and H∞ performance simultaneously. Then, by applying T–S fuzzy approach, the multiobjective H2/H∞ nonfragile fuzzy control problem is transformed into linear matrix inequality (LMI)-constrained multiobjective problem (MOP). In addition, we efficiently solve Pareto optimal solutions for the MOP by employing LMI-based multiobjective evolution algorithm (MOEA). Finally, the validity of this approach is illustrated by a realistic design example. |
| first_indexed | 2024-12-13T16:31:55Z |
| format | Article |
| id | doaj.art-1198b228dcf640db8acc4fc807399445 |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-12-13T16:31:55Z |
| publishDate | 2019-09-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-1198b228dcf640db8acc4fc8073994452022-12-21T23:38:29ZengVilnius University PressNonlinear Analysis1392-51132335-89632019-09-0124510.15388/NA.2019.5.2Multiobjective nonfragile fuzzy control for nonlinear stochastic financial systems with mixed time delaysYang Yang0Jianwei Xia1Jianli Zhao2Xiaodi Li3Zhen Wang4Liaocheng UniversityLiaocheng UniversityLiaocheng UniversityShandong Normal UniversityShandong University of Science and TechnologyIn this study, a multiobjective nonfragile control is proposed for a class of stochastic Takagi and Sugeno (T–S) fuzzy systems with mixed time delays to guarantee the optimal H2 and H∞ performance simultaneously. Firstly, based on the T–S fuzzy model, two form of nonfragile state feedback controllers are designed to stabilize the T–S fuzzy system, that is to say, nonfragile state feedback controllers minimize the H2 and H∞ performance simultaneously. Then, by applying T–S fuzzy approach, the multiobjective H2/H∞ nonfragile fuzzy control problem is transformed into linear matrix inequality (LMI)-constrained multiobjective problem (MOP). In addition, we efficiently solve Pareto optimal solutions for the MOP by employing LMI-based multiobjective evolution algorithm (MOEA). Finally, the validity of this approach is illustrated by a realistic design example.http://www.journals.vu.lt/nonlinear-analysis/article/view/14506multiobjective nonfragile controlmixed time delaysPareto optimal solutionslinear matrix inequality |
| spellingShingle | Yang Yang Jianwei Xia Jianli Zhao Xiaodi Li Zhen Wang Multiobjective nonfragile fuzzy control for nonlinear stochastic financial systems with mixed time delays Nonlinear Analysis multiobjective nonfragile control mixed time delays Pareto optimal solutions linear matrix inequality |
| title | Multiobjective nonfragile fuzzy control for nonlinear stochastic financial systems with mixed time delays |
| title_full | Multiobjective nonfragile fuzzy control for nonlinear stochastic financial systems with mixed time delays |
| title_fullStr | Multiobjective nonfragile fuzzy control for nonlinear stochastic financial systems with mixed time delays |
| title_full_unstemmed | Multiobjective nonfragile fuzzy control for nonlinear stochastic financial systems with mixed time delays |
| title_short | Multiobjective nonfragile fuzzy control for nonlinear stochastic financial systems with mixed time delays |
| title_sort | multiobjective nonfragile fuzzy control for nonlinear stochastic financial systems with mixed time delays |
| topic | multiobjective nonfragile control mixed time delays Pareto optimal solutions linear matrix inequality |
| url | http://www.journals.vu.lt/nonlinear-analysis/article/view/14506 |
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