Chaos Control in Gear Transmission System using GPC and SMC Controllers
Chaos is a phenomenon that occurs in some non-linear systems. Therefore, the output of the system will be heavily dependent on the initial conditions. Since the main characteristic of the chaos is an abnormal behavior of the system output, it should be considered in designing control systems. In thi...
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| Format: | Article |
| Language: | English |
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Shahid Chamran University of Ahvaz
2022-04-01
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| Series: | Journal of Applied and Computational Mechanics |
| Subjects: | |
| Online Access: | https://jacm.scu.ac.ir/article_15500_7fdb74b161874660f1950fea960ee48f.pdf |
| _version_ | 1818502070591815680 |
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| author | Mohammad Hossein Gharagozloo Aref Shahmansoorian |
| author_facet | Mohammad Hossein Gharagozloo Aref Shahmansoorian |
| author_sort | Mohammad Hossein Gharagozloo |
| collection | DOAJ |
| description | Chaos is a phenomenon that occurs in some non-linear systems. Therefore, the output of the system will be heavily dependent on the initial conditions. Since the main characteristic of the chaos is an abnormal behavior of the system output, it should be considered in designing control systems. In this paper, controlling chaos phenomenon in a time-variant non-linear gear transmission system is investigated. To do this, a non-linear model for the system is introduced considering the effective parameters of the system, and then it is shown that chaos appears in the system by plotting phase plane of state-space variables. It should be noted that there is a great difference between random and chaotic behavior. In random cases, the model or input contains uncertainty, and therefore, the system behavior and output are not predictable. However, in chaotic behavior, there is only a brief uncertainty in the system model, input or initial conditions, and designing controller based on output prediction could be achieved. Therefore, model predictive control (MPC) algorithms are used to control the chaos, using the output prediction concept. In many cases, perturbation term also can be considered as uncertainty, and therefore, a robust controller family can be used for eliminating chaos. Both generalized predictive controller (GPC) and sliding mode controller (SMC) are used for chaos control here. The simulation results show the efficiency of the proposed algorithms. |
| first_indexed | 2024-12-10T21:04:52Z |
| format | Article |
| id | doaj.art-8bf1264083b849b6b1b38a9cb0a9bc8f |
| institution | Directory Open Access Journal |
| issn | 2383-4536 |
| language | English |
| last_indexed | 2024-12-10T21:04:52Z |
| publishDate | 2022-04-01 |
| publisher | Shahid Chamran University of Ahvaz |
| record_format | Article |
| series | Journal of Applied and Computational Mechanics |
| spelling | doaj.art-8bf1264083b849b6b1b38a9cb0a9bc8f2022-12-22T01:33:40ZengShahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45362022-04-018254555610.22055/jacm.2020.32499.202815500Chaos Control in Gear Transmission System using GPC and SMC ControllersMohammad Hossein Gharagozloo0Aref Shahmansoorian1Department of Electrical Engineering, Imam Khomeini International University, Qazvin, IranDepartment of Electrical Engineering, Imam Khomeini International University, Qazvin, IranChaos is a phenomenon that occurs in some non-linear systems. Therefore, the output of the system will be heavily dependent on the initial conditions. Since the main characteristic of the chaos is an abnormal behavior of the system output, it should be considered in designing control systems. In this paper, controlling chaos phenomenon in a time-variant non-linear gear transmission system is investigated. To do this, a non-linear model for the system is introduced considering the effective parameters of the system, and then it is shown that chaos appears in the system by plotting phase plane of state-space variables. It should be noted that there is a great difference between random and chaotic behavior. In random cases, the model or input contains uncertainty, and therefore, the system behavior and output are not predictable. However, in chaotic behavior, there is only a brief uncertainty in the system model, input or initial conditions, and designing controller based on output prediction could be achieved. Therefore, model predictive control (MPC) algorithms are used to control the chaos, using the output prediction concept. In many cases, perturbation term also can be considered as uncertainty, and therefore, a robust controller family can be used for eliminating chaos. Both generalized predictive controller (GPC) and sliding mode controller (SMC) are used for chaos control here. The simulation results show the efficiency of the proposed algorithms.https://jacm.scu.ac.ir/article_15500_7fdb74b161874660f1950fea960ee48f.pdfgear transmission systemchaosmodel predictive controlgpcsliding modesmcnonlinear |
| spellingShingle | Mohammad Hossein Gharagozloo Aref Shahmansoorian Chaos Control in Gear Transmission System using GPC and SMC Controllers Journal of Applied and Computational Mechanics gear transmission system chaos model predictive control gpc sliding mode smc nonlinear |
| title | Chaos Control in Gear Transmission System using GPC and SMC Controllers |
| title_full | Chaos Control in Gear Transmission System using GPC and SMC Controllers |
| title_fullStr | Chaos Control in Gear Transmission System using GPC and SMC Controllers |
| title_full_unstemmed | Chaos Control in Gear Transmission System using GPC and SMC Controllers |
| title_short | Chaos Control in Gear Transmission System using GPC and SMC Controllers |
| title_sort | chaos control in gear transmission system using gpc and smc controllers |
| topic | gear transmission system chaos model predictive control gpc sliding mode smc nonlinear |
| url | https://jacm.scu.ac.ir/article_15500_7fdb74b161874660f1950fea960ee48f.pdf |
| work_keys_str_mv | AT mohammadhosseingharagozloo chaoscontrolingeartransmissionsystemusinggpcandsmccontrollers AT arefshahmansoorian chaoscontrolingeartransmissionsystemusinggpcandsmccontrollers |