Design of an LMI-Based Fuzzy Fast Terminal Sliding Mode Control Approach for Uncertain MIMO Systems
This paper proposes a linear matrix inequality (LMI)-based fuzzy fast terminal sliding mode control (FFTSM) approach for a multi-input multi-output (MIMO) system. This design aims to achieve the finite-time convergence of system trajectories to their desired values, while at the same time eliminatin...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-04-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/8/1236 |
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| author | Zahra Mokhtare Mai The Vu Saleh Mobayen Afef Fekih |
| author_facet | Zahra Mokhtare Mai The Vu Saleh Mobayen Afef Fekih |
| author_sort | Zahra Mokhtare |
| collection | DOAJ |
| description | This paper proposes a linear matrix inequality (LMI)-based fuzzy fast terminal sliding mode control (FFTSM) approach for a multi-input multi-output (MIMO) system. This design aims to achieve the finite-time convergence of system trajectories to their desired values, while at the same time eliminating the chattering problem. Finite-time stability is proven using the Lyapunov theory and the control parameters are obtained using the LMI approach. The fuzzy logic approach is considered to fine tune the controller parameters and reduce the tracking error and control signal amplitude. The performance of the proposed approach is assessed using a simulation study of a direct current (DC) motor. The obtained results confirm the effectiveness of the proposed control design. Simplicity of the design, robustness, finite-time convergence, and chattering-free dynamics are among the features of the proposed approach. |
| first_indexed | 2024-03-09T10:32:06Z |
| format | Article |
| id | doaj.art-7a8f821657094c10ae19c882d4434b03 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T10:32:06Z |
| publishDate | 2022-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-7a8f821657094c10ae19c882d4434b032023-12-01T21:12:01ZengMDPI AGMathematics2227-73902022-04-01108123610.3390/math10081236Design of an LMI-Based Fuzzy Fast Terminal Sliding Mode Control Approach for Uncertain MIMO SystemsZahra Mokhtare0Mai The Vu1Saleh Mobayen2Afef Fekih3Department of Electrical Engineering, University of Zanjan, Zanjan 45371-38791, IranSchool of Intelligent Mechatronics Engineering, Sejong University, Seoul 05006, KoreaDepartment of Electrical Engineering, University of Zanjan, Zanjan 45371-38791, IranDepartment of Electrical and Computer Engineering, University of Louisiana at Lafayette, Lafayette, LA 70504-3890, USAThis paper proposes a linear matrix inequality (LMI)-based fuzzy fast terminal sliding mode control (FFTSM) approach for a multi-input multi-output (MIMO) system. This design aims to achieve the finite-time convergence of system trajectories to their desired values, while at the same time eliminating the chattering problem. Finite-time stability is proven using the Lyapunov theory and the control parameters are obtained using the LMI approach. The fuzzy logic approach is considered to fine tune the controller parameters and reduce the tracking error and control signal amplitude. The performance of the proposed approach is assessed using a simulation study of a direct current (DC) motor. The obtained results confirm the effectiveness of the proposed control design. Simplicity of the design, robustness, finite-time convergence, and chattering-free dynamics are among the features of the proposed approach.https://www.mdpi.com/2227-7390/10/8/1236fuzzy logicsliding mode controlMIMO systemsuncertaintyLMIfinite-time control |
| spellingShingle | Zahra Mokhtare Mai The Vu Saleh Mobayen Afef Fekih Design of an LMI-Based Fuzzy Fast Terminal Sliding Mode Control Approach for Uncertain MIMO Systems Mathematics fuzzy logic sliding mode control MIMO systems uncertainty LMI finite-time control |
| title | Design of an LMI-Based Fuzzy Fast Terminal Sliding Mode Control Approach for Uncertain MIMO Systems |
| title_full | Design of an LMI-Based Fuzzy Fast Terminal Sliding Mode Control Approach for Uncertain MIMO Systems |
| title_fullStr | Design of an LMI-Based Fuzzy Fast Terminal Sliding Mode Control Approach for Uncertain MIMO Systems |
| title_full_unstemmed | Design of an LMI-Based Fuzzy Fast Terminal Sliding Mode Control Approach for Uncertain MIMO Systems |
| title_short | Design of an LMI-Based Fuzzy Fast Terminal Sliding Mode Control Approach for Uncertain MIMO Systems |
| title_sort | design of an lmi based fuzzy fast terminal sliding mode control approach for uncertain mimo systems |
| topic | fuzzy logic sliding mode control MIMO systems uncertainty LMI finite-time control |
| url | https://www.mdpi.com/2227-7390/10/8/1236 |
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