Dissipativity-Based Controller Design for Time-Delayed T-S Fuzzy Switched Distributed Parameter Systems
This paper studies fuzzy controller design problem for a class of nonlinear switched distributed parameter systems (DPSs) subject to time-varying delay. Initially, the original nonlinear DPSs are accurately described by Takagi-Sugeno fuzzy model in a local region. On the basis of parallel distribute...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/6215945 |
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| _version_ | 1832563151065841664 |
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| author | Xiaona Song Mi Wang Shuai Song Jingtao Man |
| author_facet | Xiaona Song Mi Wang Shuai Song Jingtao Man |
| author_sort | Xiaona Song |
| collection | DOAJ |
| description | This paper studies fuzzy controller design problem for a class of nonlinear switched distributed parameter systems (DPSs) subject to time-varying delay. Initially, the original nonlinear DPSs are accurately described by Takagi-Sugeno fuzzy model in a local region. On the basis of parallel distributed compensation technique, mode-dependent fuzzy proportional and fuzzy proportional-spatial-derivative controllers are constructed, respectively. Subsequently, using single Lyapunov-Krasovskii functional and some matrix inequality methods, sufficient conditions that guarantee the stability and dissipativity of the closed-loop systems are presented in the form of linear matrix inequalities, which allow the control gain matrices to be easily obtained. Finally, numerical examples are provided to demonstrate the validity of the designed controllers. |
| format | Article |
| id | doaj-art-63a17b0130fc4a1496654d0cb181e8f5 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-63a17b0130fc4a1496654d0cb181e8f52025-02-03T01:20:51ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/62159456215945Dissipativity-Based Controller Design for Time-Delayed T-S Fuzzy Switched Distributed Parameter SystemsXiaona Song0Mi Wang1Shuai Song2Jingtao Man3School of Information Engineering, Henan University of Science and Technology, Luoyang 471023, ChinaSchool of Information Engineering, Henan University of Science and Technology, Luoyang 471023, ChinaSchool of Automation, Nanjing University of Science and Technology, Nanjing 210094, ChinaSchool of Information Engineering, Henan University of Science and Technology, Luoyang 471023, ChinaThis paper studies fuzzy controller design problem for a class of nonlinear switched distributed parameter systems (DPSs) subject to time-varying delay. Initially, the original nonlinear DPSs are accurately described by Takagi-Sugeno fuzzy model in a local region. On the basis of parallel distributed compensation technique, mode-dependent fuzzy proportional and fuzzy proportional-spatial-derivative controllers are constructed, respectively. Subsequently, using single Lyapunov-Krasovskii functional and some matrix inequality methods, sufficient conditions that guarantee the stability and dissipativity of the closed-loop systems are presented in the form of linear matrix inequalities, which allow the control gain matrices to be easily obtained. Finally, numerical examples are provided to demonstrate the validity of the designed controllers.http://dx.doi.org/10.1155/2018/6215945 |
| spellingShingle | Xiaona Song Mi Wang Shuai Song Jingtao Man Dissipativity-Based Controller Design for Time-Delayed T-S Fuzzy Switched Distributed Parameter Systems Complexity |
| title | Dissipativity-Based Controller Design for Time-Delayed T-S Fuzzy Switched Distributed Parameter Systems |
| title_full | Dissipativity-Based Controller Design for Time-Delayed T-S Fuzzy Switched Distributed Parameter Systems |
| title_fullStr | Dissipativity-Based Controller Design for Time-Delayed T-S Fuzzy Switched Distributed Parameter Systems |
| title_full_unstemmed | Dissipativity-Based Controller Design for Time-Delayed T-S Fuzzy Switched Distributed Parameter Systems |
| title_short | Dissipativity-Based Controller Design for Time-Delayed T-S Fuzzy Switched Distributed Parameter Systems |
| title_sort | dissipativity based controller design for time delayed t s fuzzy switched distributed parameter systems |
| url | http://dx.doi.org/10.1155/2018/6215945 |
| work_keys_str_mv | AT xiaonasong dissipativitybasedcontrollerdesignfortimedelayedtsfuzzyswitcheddistributedparametersystems AT miwang dissipativitybasedcontrollerdesignfortimedelayedtsfuzzyswitcheddistributedparametersystems AT shuaisong dissipativitybasedcontrollerdesignfortimedelayedtsfuzzyswitcheddistributedparametersystems AT jingtaoman dissipativitybasedcontrollerdesignfortimedelayedtsfuzzyswitcheddistributedparametersystems |