Fuzzy Estimator Indirect Terminal Sliding Mode Control of Nonlinear Systems Based on Adaptive Continuous Barrier Function
In this paper, the theory of control is considered on nonlinear systems. A closed-loop controller with a strong idea has been introduced to track system states and guarantee asymptotically stability. The proposed method is the indirect terminal sliding mode control technique based on adaptive and fu...
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| Format: | Article |
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IEEE
2022-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9741810/ |
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| author | Mohammadreza Askari Sepestanaki Hamidreza Bahmani Majid Ali Ali Abolfazl Jalilvand Saleh Mobayen Afef Fekih |
| author_facet | Mohammadreza Askari Sepestanaki Hamidreza Bahmani Majid Ali Ali Abolfazl Jalilvand Saleh Mobayen Afef Fekih |
| author_sort | Mohammadreza Askari Sepestanaki |
| collection | DOAJ |
| description | In this paper, the theory of control is considered on nonlinear systems. A closed-loop controller with a strong idea has been introduced to track system states and guarantee asymptotically stability. The proposed method is the indirect terminal sliding mode control technique based on adaptive and fuzzy rules, which has used the continuous barrier function as a new approach in its design to improve the performance of this controller. One of the significant challenges in the sliding mode control method is the chattering phenomenon due to the discontinuous sign function in the control law. In the proposed approach, the control law is obtained continuously and smoothly due to the mentioned continuous function and subsequently solves the chattering problem. Another feature of the proposed method is the asymptotical stability of the system dynamics within finite time, which is proved based on the Lyapunov function. The proposed Lyapunov function includes the function of fractional power of a sliding surface. On the other hand, the obtained control law using the sliding mode method is estimated using the fuzzy system. The adaptive approach adjusts the fuzzy law parameters and the unknown bound of external disturbance. |
| first_indexed | 2024-12-18T04:06:34Z |
| format | Article |
| id | doaj.art-d8961666cad5464a98c1d6ae2b5e6f9a |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-18T04:06:34Z |
| publishDate | 2022-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-d8961666cad5464a98c1d6ae2b5e6f9a2022-12-21T21:21:35ZengIEEEIEEE Access2169-35362022-01-0110342963430510.1109/ACCESS.2022.31623319741810Fuzzy Estimator Indirect Terminal Sliding Mode Control of Nonlinear Systems Based on Adaptive Continuous Barrier FunctionMohammadreza Askari Sepestanaki0https://orcid.org/0000-0002-2179-1230Hamidreza Bahmani1Majid Ali Ali2Abolfazl Jalilvand3https://orcid.org/0000-0002-2454-7444Saleh Mobayen4https://orcid.org/0000-0002-5676-1875Afef Fekih5https://orcid.org/0000-0003-4522-502XDepartment of Electrical Engineering, University of Zanjan, Zanjan, IranDepartment of Electrical Engineering, University of Zanjan, Zanjan, IranDepartment of Electrical Engineering, Namal University, Mianwali, PakistanDepartment of Electrical Engineering, University of Zanjan, Zanjan, IranDepartment of Electrical Engineering, University of Zanjan, Zanjan, IranDepartment of Electrical and Computer Engineering, University of Louisiana at Lafayette, Lafayette, LA, USAIn this paper, the theory of control is considered on nonlinear systems. A closed-loop controller with a strong idea has been introduced to track system states and guarantee asymptotically stability. The proposed method is the indirect terminal sliding mode control technique based on adaptive and fuzzy rules, which has used the continuous barrier function as a new approach in its design to improve the performance of this controller. One of the significant challenges in the sliding mode control method is the chattering phenomenon due to the discontinuous sign function in the control law. In the proposed approach, the control law is obtained continuously and smoothly due to the mentioned continuous function and subsequently solves the chattering problem. Another feature of the proposed method is the asymptotical stability of the system dynamics within finite time, which is proved based on the Lyapunov function. The proposed Lyapunov function includes the function of fractional power of a sliding surface. On the other hand, the obtained control law using the sliding mode method is estimated using the fuzzy system. The adaptive approach adjusts the fuzzy law parameters and the unknown bound of external disturbance.https://ieeexplore.ieee.org/document/9741810/Finite-time stabilitycontinuous functionsliding mode controlfuzzy estimatoradaptive control |
| spellingShingle | Mohammadreza Askari Sepestanaki Hamidreza Bahmani Majid Ali Ali Abolfazl Jalilvand Saleh Mobayen Afef Fekih Fuzzy Estimator Indirect Terminal Sliding Mode Control of Nonlinear Systems Based on Adaptive Continuous Barrier Function IEEE Access Finite-time stability continuous function sliding mode control fuzzy estimator adaptive control |
| title | Fuzzy Estimator Indirect Terminal Sliding Mode Control of Nonlinear Systems Based on Adaptive Continuous Barrier Function |
| title_full | Fuzzy Estimator Indirect Terminal Sliding Mode Control of Nonlinear Systems Based on Adaptive Continuous Barrier Function |
| title_fullStr | Fuzzy Estimator Indirect Terminal Sliding Mode Control of Nonlinear Systems Based on Adaptive Continuous Barrier Function |
| title_full_unstemmed | Fuzzy Estimator Indirect Terminal Sliding Mode Control of Nonlinear Systems Based on Adaptive Continuous Barrier Function |
| title_short | Fuzzy Estimator Indirect Terminal Sliding Mode Control of Nonlinear Systems Based on Adaptive Continuous Barrier Function |
| title_sort | fuzzy estimator indirect terminal sliding mode control of nonlinear systems based on adaptive continuous barrier function |
| topic | Finite-time stability continuous function sliding mode control fuzzy estimator adaptive control |
| url | https://ieeexplore.ieee.org/document/9741810/ |
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