Adaptive Nonsingular Terminal Sliding Mode Control for Performance Improvement of Perturbed Nonlinear Systems
In this study, an adaptive nonsingular terminal sliding mode control technique according to the barrier function is designed for the performance improvement and robust stability of nonlinear systems with outdoor disturbances. For this reason, a novel nonlinear sliding surface is presented based on t...
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| Format: | Article |
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MDPI AG
2022-03-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/7/1064 |
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| author | Khalid A. Alattas Mai The Vu Omid Mofid Fayez F. M. El-Sousy Abdullah K. Alanazi Jan Awrejcewicz Saleh Mobayen |
| author_facet | Khalid A. Alattas Mai The Vu Omid Mofid Fayez F. M. El-Sousy Abdullah K. Alanazi Jan Awrejcewicz Saleh Mobayen |
| author_sort | Khalid A. Alattas |
| collection | DOAJ |
| description | In this study, an adaptive nonsingular terminal sliding mode control technique according to the barrier function is designed for the performance improvement and robust stability of nonlinear systems with outdoor disturbances. For this reason, a novel nonlinear sliding surface is presented based on the states of the system. The nonlinear sliding surface forces the states of the system to converge from initial conditions to zero. Subsequently, a non-singular terminal sliding control scheme is advised for the purpose of finite-time stability of the nonlinear switching surface. Finite-time stabilization of the non-singular terminal sliding surface is verified by the Lyapunov theory. For improvement of the system performance against exterior perturbation, the barrier function adaptive technique is employed to estimate the unknown upper bounds of the exterior disturbance. Finally, the advantage and productivity of the recommended control method is investigated based on the simulation results. In the simulation part, the plasma torch jerk chaotic system is considered as a case study, such that the obtained results are given in different scenarios. |
| first_indexed | 2024-03-09T11:39:32Z |
| format | Article |
| id | doaj.art-ba5bde7d775647c7840da31ef66fde86 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T11:39:32Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-ba5bde7d775647c7840da31ef66fde862023-11-30T23:36:37ZengMDPI AGMathematics2227-73902022-03-01107106410.3390/math10071064Adaptive Nonsingular Terminal Sliding Mode Control for Performance Improvement of Perturbed Nonlinear SystemsKhalid A. Alattas0Mai The Vu1Omid Mofid2Fayez F. M. El-Sousy3Abdullah K. Alanazi4Jan Awrejcewicz5Saleh Mobayen6Department of Computer Science and Artificial Intelligence, College of Computer Science and Engineering, University of Jeddah, Jeddah 23218, Saudi ArabiaSchool of Intelligent Mechatronics Engineering, Sejong University, Seoul 05006, KoreaFuture Technology Research Center, National Yunlin University of Science and Technology, 123 University Road, Section 3, Douliu, Yunlin 64002, TaiwanDepartment of Electrical Engineering, Prince Sattam Bin Abdulaziz University, Al Kharj 11942, Saudi ArabiaDepartment of Chemistry, Faculty of Science, Taif University, Taif 21944, Saudi ArabiaDepartment of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowski St., 90-924 Lodz, PolandFuture Technology Research Center, National Yunlin University of Science and Technology, 123 University Road, Section 3, Douliu, Yunlin 64002, TaiwanIn this study, an adaptive nonsingular terminal sliding mode control technique according to the barrier function is designed for the performance improvement and robust stability of nonlinear systems with outdoor disturbances. For this reason, a novel nonlinear sliding surface is presented based on the states of the system. The nonlinear sliding surface forces the states of the system to converge from initial conditions to zero. Subsequently, a non-singular terminal sliding control scheme is advised for the purpose of finite-time stability of the nonlinear switching surface. Finite-time stabilization of the non-singular terminal sliding surface is verified by the Lyapunov theory. For improvement of the system performance against exterior perturbation, the barrier function adaptive technique is employed to estimate the unknown upper bounds of the exterior disturbance. Finally, the advantage and productivity of the recommended control method is investigated based on the simulation results. In the simulation part, the plasma torch jerk chaotic system is considered as a case study, such that the obtained results are given in different scenarios.https://www.mdpi.com/2227-7390/10/7/1064chaotic systemsperformance improvementnon-singular controlsliding mode controlexternal disturbance |
| spellingShingle | Khalid A. Alattas Mai The Vu Omid Mofid Fayez F. M. El-Sousy Abdullah K. Alanazi Jan Awrejcewicz Saleh Mobayen Adaptive Nonsingular Terminal Sliding Mode Control for Performance Improvement of Perturbed Nonlinear Systems Mathematics chaotic systems performance improvement non-singular control sliding mode control external disturbance |
| title | Adaptive Nonsingular Terminal Sliding Mode Control for Performance Improvement of Perturbed Nonlinear Systems |
| title_full | Adaptive Nonsingular Terminal Sliding Mode Control for Performance Improvement of Perturbed Nonlinear Systems |
| title_fullStr | Adaptive Nonsingular Terminal Sliding Mode Control for Performance Improvement of Perturbed Nonlinear Systems |
| title_full_unstemmed | Adaptive Nonsingular Terminal Sliding Mode Control for Performance Improvement of Perturbed Nonlinear Systems |
| title_short | Adaptive Nonsingular Terminal Sliding Mode Control for Performance Improvement of Perturbed Nonlinear Systems |
| title_sort | adaptive nonsingular terminal sliding mode control for performance improvement of perturbed nonlinear systems |
| topic | chaotic systems performance improvement non-singular control sliding mode control external disturbance |
| url | https://www.mdpi.com/2227-7390/10/7/1064 |
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