Observer-Based Fuzzy Controller Design for Nonlinear Discrete-Time Singular Systems via Proportional Derivative Feedback Scheme
This paper investigates the observer-based fuzzy controller design method for nonlinear discrete-time singular systems that are represented by Takagi-Sugeno (T-S) fuzzy models. At first, the nonlinearity can be well-approximated with several local linear input-output relationships. The parallel dist...
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| Format: | Article |
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MDPI AG
2021-03-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/11/6/2833 |
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| author | Wen-Jer Chang Ming-Hsuan Tsai Chin-Lin Pen |
| author_facet | Wen-Jer Chang Ming-Hsuan Tsai Chin-Lin Pen |
| author_sort | Wen-Jer Chang |
| collection | DOAJ |
| description | This paper investigates the observer-based fuzzy controller design method for nonlinear discrete-time singular systems that are represented by Takagi-Sugeno (T-S) fuzzy models. At first, the nonlinearity can be well-approximated with several local linear input-output relationships. The parallel distributed compensation (PDC) technology and the proportional derivative (PD) feedback scheme are then employed to construct the observer-based fuzzy controller. To solve the problem of unmeasured states, the impulsive phenomenon of singular systems, and the PD scheme’s reasonableness, a novel observer-based fuzzy controller is developed. By using the Lyapunov theory and projection lemma, the stability criteria are built in terms of linear matrix inequalities (LMI). Moreover, the gains of fuzzy controller and fuzzy observer can be calculated synchronously by using convex optimization algorithms. Finally, a biological economic system is provided to verify the effectiveness of the proposed fuzzy control method. |
| first_indexed | 2024-03-10T13:00:57Z |
| format | Article |
| id | doaj.art-638dce081e3b4db3b607025a51ec2bb3 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T13:00:57Z |
| publishDate | 2021-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-638dce081e3b4db3b607025a51ec2bb32023-11-21T11:32:02ZengMDPI AGApplied Sciences2076-34172021-03-01116283310.3390/app11062833Observer-Based Fuzzy Controller Design for Nonlinear Discrete-Time Singular Systems via Proportional Derivative Feedback SchemeWen-Jer Chang0Ming-Hsuan Tsai1Chin-Lin Pen2Department of Marine Engineering, National Taiwan Ocean University, Keelung 202, TaiwanDepartment of Marine Engineering, National Taiwan Ocean University, Keelung 202, TaiwanDepartment of Marine Engineering, National Taiwan Ocean University, Keelung 202, TaiwanThis paper investigates the observer-based fuzzy controller design method for nonlinear discrete-time singular systems that are represented by Takagi-Sugeno (T-S) fuzzy models. At first, the nonlinearity can be well-approximated with several local linear input-output relationships. The parallel distributed compensation (PDC) technology and the proportional derivative (PD) feedback scheme are then employed to construct the observer-based fuzzy controller. To solve the problem of unmeasured states, the impulsive phenomenon of singular systems, and the PD scheme’s reasonableness, a novel observer-based fuzzy controller is developed. By using the Lyapunov theory and projection lemma, the stability criteria are built in terms of linear matrix inequalities (LMI). Moreover, the gains of fuzzy controller and fuzzy observer can be calculated synchronously by using convex optimization algorithms. Finally, a biological economic system is provided to verify the effectiveness of the proposed fuzzy control method.https://www.mdpi.com/2076-3417/11/6/2833nonlinear singular systemsT-S fuzzy modelobserver designproportional derivative control |
| spellingShingle | Wen-Jer Chang Ming-Hsuan Tsai Chin-Lin Pen Observer-Based Fuzzy Controller Design for Nonlinear Discrete-Time Singular Systems via Proportional Derivative Feedback Scheme Applied Sciences nonlinear singular systems T-S fuzzy model observer design proportional derivative control |
| title | Observer-Based Fuzzy Controller Design for Nonlinear Discrete-Time Singular Systems via Proportional Derivative Feedback Scheme |
| title_full | Observer-Based Fuzzy Controller Design for Nonlinear Discrete-Time Singular Systems via Proportional Derivative Feedback Scheme |
| title_fullStr | Observer-Based Fuzzy Controller Design for Nonlinear Discrete-Time Singular Systems via Proportional Derivative Feedback Scheme |
| title_full_unstemmed | Observer-Based Fuzzy Controller Design for Nonlinear Discrete-Time Singular Systems via Proportional Derivative Feedback Scheme |
| title_short | Observer-Based Fuzzy Controller Design for Nonlinear Discrete-Time Singular Systems via Proportional Derivative Feedback Scheme |
| title_sort | observer based fuzzy controller design for nonlinear discrete time singular systems via proportional derivative feedback scheme |
| topic | nonlinear singular systems T-S fuzzy model observer design proportional derivative control |
| url | https://www.mdpi.com/2076-3417/11/6/2833 |
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