Synchronization of a Non-Equilibrium Four-Dimensional Chaotic System Using a Disturbance-Observer-Based Adaptive Terminal Sliding Mode Control Method
In this paper, dynamical behavior and synchronization of a non-equilibrium four-dimensional chaotic system are studied. The system only includes one constant term and has hidden attractors. Some dynamical features of the governing system, such as invariance and symmetry, the existence of attractors...
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MDPI AG
2020-02-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/22/3/271 |
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| author | Shaojie Wang Amin Yousefpour Abdullahi Yusuf Hadi Jahanshahi Raúl Alcaraz Shaobo He Jesus M. Munoz-Pacheco |
| author_facet | Shaojie Wang Amin Yousefpour Abdullahi Yusuf Hadi Jahanshahi Raúl Alcaraz Shaobo He Jesus M. Munoz-Pacheco |
| author_sort | Shaojie Wang |
| collection | DOAJ |
| description | In this paper, dynamical behavior and synchronization of a non-equilibrium four-dimensional chaotic system are studied. The system only includes one constant term and has hidden attractors. Some dynamical features of the governing system, such as invariance and symmetry, the existence of attractors and dissipativity, chaotic flow with a plane of equilibria, and offset boosting of the chaotic attractor, are stated and discussed and a new disturbance-observer-based adaptive terminal sliding mode control (ATSMC) method with input saturation is proposed for the control and synchronization of the chaotic system. To deal with unexpected noises, an extended Kalman filter (EKF) is implemented along with the designed controller. Through the concept of Lyapunov stability, the proposed control technique guarantees the finite time convergence of the uncertain system in the presence of disturbances and control input limits. Furthermore, to decrease the chattering phenomena, a genetic algorithm is used to optimize the controller parameters. Finally, numerical simulations are presented to demonstrate the performance of the designed control scheme in the presence of noise, disturbances, and control input saturation. |
| first_indexed | 2024-04-11T21:49:36Z |
| format | Article |
| id | doaj.art-a3765204d1984631943bb416fea6fa79 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T21:49:36Z |
| publishDate | 2020-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-a3765204d1984631943bb416fea6fa792022-12-22T04:01:16ZengMDPI AGEntropy1099-43002020-02-0122327110.3390/e22030271e22030271Synchronization of a Non-Equilibrium Four-Dimensional Chaotic System Using a Disturbance-Observer-Based Adaptive Terminal Sliding Mode Control MethodShaojie Wang0Amin Yousefpour1Abdullahi Yusuf2Hadi Jahanshahi3Raúl Alcaraz4Shaobo He5Jesus M. Munoz-Pacheco6College of Electrical and Information Engineering, Shaoyang University, Shaoyang 422000, ChinaSchool of Mechanical Engineering, College of Engineering, University of Tehran, Tehran 11155-4563, IranDepartment of Computer Engineering, Biruni University, Istanbul 34010, TurkeyDepartment of Mechanical Engineering, University of Manitoba, Winnipeg, MB R3T 5V6, CanadaResearch Group in Electronic, Biomedical and Telecommunication Engineering, University of Castilla-La Mancha, 16071 Cuenca, SpainSchool of Physics and Electronics, Central South University, Changsha 410083, ChinaFaculty of Electronics Sciences, Benemerita Universidad Autonoma de Puebla, Mexico 72570, MexicoIn this paper, dynamical behavior and synchronization of a non-equilibrium four-dimensional chaotic system are studied. The system only includes one constant term and has hidden attractors. Some dynamical features of the governing system, such as invariance and symmetry, the existence of attractors and dissipativity, chaotic flow with a plane of equilibria, and offset boosting of the chaotic attractor, are stated and discussed and a new disturbance-observer-based adaptive terminal sliding mode control (ATSMC) method with input saturation is proposed for the control and synchronization of the chaotic system. To deal with unexpected noises, an extended Kalman filter (EKF) is implemented along with the designed controller. Through the concept of Lyapunov stability, the proposed control technique guarantees the finite time convergence of the uncertain system in the presence of disturbances and control input limits. Furthermore, to decrease the chattering phenomena, a genetic algorithm is used to optimize the controller parameters. Finally, numerical simulations are presented to demonstrate the performance of the designed control scheme in the presence of noise, disturbances, and control input saturation.https://www.mdpi.com/1099-4300/22/3/271four-dimensional chaotic systemsdynamical analysisdisturbance-observeradaptive terminal sliding mode controlcontrol input saturationextended kalman filter |
| spellingShingle | Shaojie Wang Amin Yousefpour Abdullahi Yusuf Hadi Jahanshahi Raúl Alcaraz Shaobo He Jesus M. Munoz-Pacheco Synchronization of a Non-Equilibrium Four-Dimensional Chaotic System Using a Disturbance-Observer-Based Adaptive Terminal Sliding Mode Control Method Entropy four-dimensional chaotic systems dynamical analysis disturbance-observer adaptive terminal sliding mode control control input saturation extended kalman filter |
| title | Synchronization of a Non-Equilibrium Four-Dimensional Chaotic System Using a Disturbance-Observer-Based Adaptive Terminal Sliding Mode Control Method |
| title_full | Synchronization of a Non-Equilibrium Four-Dimensional Chaotic System Using a Disturbance-Observer-Based Adaptive Terminal Sliding Mode Control Method |
| title_fullStr | Synchronization of a Non-Equilibrium Four-Dimensional Chaotic System Using a Disturbance-Observer-Based Adaptive Terminal Sliding Mode Control Method |
| title_full_unstemmed | Synchronization of a Non-Equilibrium Four-Dimensional Chaotic System Using a Disturbance-Observer-Based Adaptive Terminal Sliding Mode Control Method |
| title_short | Synchronization of a Non-Equilibrium Four-Dimensional Chaotic System Using a Disturbance-Observer-Based Adaptive Terminal Sliding Mode Control Method |
| title_sort | synchronization of a non equilibrium four dimensional chaotic system using a disturbance observer based adaptive terminal sliding mode control method |
| topic | four-dimensional chaotic systems dynamical analysis disturbance-observer adaptive terminal sliding mode control control input saturation extended kalman filter |
| url | https://www.mdpi.com/1099-4300/22/3/271 |
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