Disturbance Observer-Based Linear Matrix Inequality for the Synchronization of Takagi-Sugeno Fuzzy Chaotic Systems
This article presents a synchronization control method based on poles' placement, disturbances, and uncertainty estimation (DUE) for a pair of Takagi-Sugeno fuzzy systems. First, a 3-D chaotic system was completely converted into a Takagi-Sugeno (T-S) fuzzy model by applying the nonlinearity se...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2020-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9296757/ |
| _version_ | 1818847063247421440 |
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| author | Van Nam Giap Shyh-Chour Huang Quang Dich Nguyen Te-Jen Su |
| author_facet | Van Nam Giap Shyh-Chour Huang Quang Dich Nguyen Te-Jen Su |
| author_sort | Van Nam Giap |
| collection | DOAJ |
| description | This article presents a synchronization control method based on poles' placement, disturbances, and uncertainty estimation (DUE) for a pair of Takagi-Sugeno fuzzy systems. First, a 3-D chaotic system was completely converted into a Takagi-Sugeno (T-S) fuzzy model by applying the nonlinearity sector method, which consists of if-then rules and sub-linear systems. Second, two identical T-S fuzzy systems with different initial conditions were synchronized by applying the linear matrix inequality (LMI) to place the eigenvalues of the state error equations in the stable region. Third, the sum of the time-varying disturbances and uncertainties of two nonidentical T-S fuzzy systems were deleted by a disturbance and uncertainty estimation. The given output signals confirmed that the proposed method is suitable and ideal for synchronizing T-S fuzzy systems. The ideas of control theory were implemented by using two experimental scenarios in MATLAB Simulink for two computers connected via an internet router and an electronics circuit's communication. |
| first_indexed | 2024-12-19T05:55:29Z |
| format | Article |
| id | doaj.art-e63eea9c0c444bdaa48f0d461d38efb0 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-19T05:55:29Z |
| publishDate | 2020-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-e63eea9c0c444bdaa48f0d461d38efb02022-12-21T20:33:28ZengIEEEIEEE Access2169-35362020-01-01822580522582110.1109/ACCESS.2020.30454169296757Disturbance Observer-Based Linear Matrix Inequality for the Synchronization of Takagi-Sugeno Fuzzy Chaotic SystemsVan Nam Giap0https://orcid.org/0000-0002-6230-278XShyh-Chour Huang1https://orcid.org/0000-0002-7158-3720Quang Dich Nguyen2https://orcid.org/0000-0001-5301-7058Te-Jen Su3Department of Mechanical Engineering, National Kaohsiung University of Science and Technology, Kaohsiung, Taiwan, R.O.CDepartment of Mechanical Engineering, National Kaohsiung University of Science and Technology, Kaohsiung, Taiwan, R.O.CInstitute for Control Engineering and Automation, Hanoi University of Science and Technology, Hanoi, VietnamDepartment of Electronic Engineering, National Kaohsiung University of Science and Technology, Kaohsiung, Taiwan, R.O.CThis article presents a synchronization control method based on poles' placement, disturbances, and uncertainty estimation (DUE) for a pair of Takagi-Sugeno fuzzy systems. First, a 3-D chaotic system was completely converted into a Takagi-Sugeno (T-S) fuzzy model by applying the nonlinearity sector method, which consists of if-then rules and sub-linear systems. Second, two identical T-S fuzzy systems with different initial conditions were synchronized by applying the linear matrix inequality (LMI) to place the eigenvalues of the state error equations in the stable region. Third, the sum of the time-varying disturbances and uncertainties of two nonidentical T-S fuzzy systems were deleted by a disturbance and uncertainty estimation. The given output signals confirmed that the proposed method is suitable and ideal for synchronizing T-S fuzzy systems. The ideas of control theory were implemented by using two experimental scenarios in MATLAB Simulink for two computers connected via an internet router and an electronics circuit's communication.https://ieeexplore.ieee.org/document/9296757/Disturbance and uncertainty estimationlinear matrix inequalitysynchronizationT-S fuzzy systems |
| spellingShingle | Van Nam Giap Shyh-Chour Huang Quang Dich Nguyen Te-Jen Su Disturbance Observer-Based Linear Matrix Inequality for the Synchronization of Takagi-Sugeno Fuzzy Chaotic Systems IEEE Access Disturbance and uncertainty estimation linear matrix inequality synchronization T-S fuzzy systems |
| title | Disturbance Observer-Based Linear Matrix Inequality for the Synchronization of Takagi-Sugeno Fuzzy Chaotic Systems |
| title_full | Disturbance Observer-Based Linear Matrix Inequality for the Synchronization of Takagi-Sugeno Fuzzy Chaotic Systems |
| title_fullStr | Disturbance Observer-Based Linear Matrix Inequality for the Synchronization of Takagi-Sugeno Fuzzy Chaotic Systems |
| title_full_unstemmed | Disturbance Observer-Based Linear Matrix Inequality for the Synchronization of Takagi-Sugeno Fuzzy Chaotic Systems |
| title_short | Disturbance Observer-Based Linear Matrix Inequality for the Synchronization of Takagi-Sugeno Fuzzy Chaotic Systems |
| title_sort | disturbance observer based linear matrix inequality for the synchronization of takagi sugeno fuzzy chaotic systems |
| topic | Disturbance and uncertainty estimation linear matrix inequality synchronization T-S fuzzy systems |
| url | https://ieeexplore.ieee.org/document/9296757/ |
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