Hybrid Feedback Stabilization of Fuzzy Nonlinear Systems
This paper is concerned with the problem of stabilizing one family of fuzzy nonlinear systems by means of fuzzy quantized feedback. The hybrid control strategy originating in earlier work by Brockett and Liberzon(2000) and Liberzon (2003) relies on the possibility of making discrete online adjustmen...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2011/579871 |
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| _version_ | 1832555901090791424 |
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| author | Yingqi Zhang Caixia Liu Xiaowu Mu |
| author_facet | Yingqi Zhang Caixia Liu Xiaowu Mu |
| author_sort | Yingqi Zhang |
| collection | DOAJ |
| description | This paper is concerned with the problem of stabilizing one family of fuzzy
nonlinear systems by means of fuzzy quantized feedback. The hybrid control strategy
originating in earlier work by Brockett and Liberzon(2000) and Liberzon (2003) relies on the possibility of making discrete online adjustments of quantizer parameters. We explore this method here for one class of fuzzy nonlinear systems with fuzzy quantizers affecting the state of the system. New results on the
stabilization of the family of fuzzy nonlinear systems are obtained by choosing
appropriately quantized strategies. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-078adf5c90a84350a9fed933bc79a56f |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-078adf5c90a84350a9fed933bc79a56f2025-02-03T05:46:48ZengWileyJournal of Control Science and Engineering1687-52491687-52572011-01-01201110.1155/2011/579871579871Hybrid Feedback Stabilization of Fuzzy Nonlinear SystemsYingqi Zhang0Caixia Liu1Xiaowu Mu2College of Science, Henan University of Technology, Zhengzhou 450001, ChinaCollege of Science, Henan University of Technology, Zhengzhou 450001, ChinaDepartment of Mathematics, Zhengzhou University, Zhengzhou 450001, ChinaThis paper is concerned with the problem of stabilizing one family of fuzzy nonlinear systems by means of fuzzy quantized feedback. The hybrid control strategy originating in earlier work by Brockett and Liberzon(2000) and Liberzon (2003) relies on the possibility of making discrete online adjustments of quantizer parameters. We explore this method here for one class of fuzzy nonlinear systems with fuzzy quantizers affecting the state of the system. New results on the stabilization of the family of fuzzy nonlinear systems are obtained by choosing appropriately quantized strategies. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed method.http://dx.doi.org/10.1155/2011/579871 |
| spellingShingle | Yingqi Zhang Caixia Liu Xiaowu Mu Hybrid Feedback Stabilization of Fuzzy Nonlinear Systems Journal of Control Science and Engineering |
| title | Hybrid Feedback Stabilization of Fuzzy Nonlinear Systems |
| title_full | Hybrid Feedback Stabilization of Fuzzy Nonlinear Systems |
| title_fullStr | Hybrid Feedback Stabilization of Fuzzy Nonlinear Systems |
| title_full_unstemmed | Hybrid Feedback Stabilization of Fuzzy Nonlinear Systems |
| title_short | Hybrid Feedback Stabilization of Fuzzy Nonlinear Systems |
| title_sort | hybrid feedback stabilization of fuzzy nonlinear systems |
| url | http://dx.doi.org/10.1155/2011/579871 |
| work_keys_str_mv | AT yingqizhang hybridfeedbackstabilizationoffuzzynonlinearsystems AT caixialiu hybridfeedbackstabilizationoffuzzynonlinearsystems AT xiaowumu hybridfeedbackstabilizationoffuzzynonlinearsystems |