Bifurcation analysis and control of the valve-controlled hydraulic cylinder system
This article discusses the bifurcation analysis and control of a valve-controlled hydraulic cylinder system. The dynamic system of the valve-controlled hydraulic cylinder is established. Normal form theory and Hopf bifurcation theory are used to analyse the bifurcation characteristic at equilibria o...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2023-09-01
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| Series: | Nonlinear Engineering |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/nleng-2022-0311 |
| _version_ | 1797674874863353856 |
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| author | Han Qin Zhang Liang |
| author_facet | Han Qin Zhang Liang |
| author_sort | Han Qin |
| collection | DOAJ |
| description | This article discusses the bifurcation analysis and control of a valve-controlled hydraulic cylinder system. The dynamic system of the valve-controlled hydraulic cylinder is established. Normal form theory and Hopf bifurcation theory are used to analyse the bifurcation characteristic at equilibria of the system. Then, a dynamic-state feedback control method is proposed. A nonlinear controller is set for the system to control the bifurcation with the method. By adjusting the control parameters, the delay of model bifurcation and the stability of the system can be changed. Numerical analysis verifies the correctness of bifurcation control. |
| first_indexed | 2024-03-11T22:06:31Z |
| format | Article |
| id | doaj.art-fec023261bf449298be7b94d2f240996 |
| institution | Directory Open Access Journal |
| issn | 2192-8029 |
| language | English |
| last_indexed | 2024-03-11T22:06:31Z |
| publishDate | 2023-09-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nonlinear Engineering |
| spelling | doaj.art-fec023261bf449298be7b94d2f2409962023-09-25T06:06:18ZengDe GruyterNonlinear Engineering2192-80292023-09-01121p. 184910.1515/nleng-2022-0311Bifurcation analysis and control of the valve-controlled hydraulic cylinder systemHan Qin0Zhang Liang1College of Mechanical and Electrical Engineering, Wuhan Qingchuan University, Wuhan430204, P.R. ChinaSchool of intelligent manufacturing, Jianghan University, Wuhan430056, P.R. ChinaThis article discusses the bifurcation analysis and control of a valve-controlled hydraulic cylinder system. The dynamic system of the valve-controlled hydraulic cylinder is established. Normal form theory and Hopf bifurcation theory are used to analyse the bifurcation characteristic at equilibria of the system. Then, a dynamic-state feedback control method is proposed. A nonlinear controller is set for the system to control the bifurcation with the method. By adjusting the control parameters, the delay of model bifurcation and the stability of the system can be changed. Numerical analysis verifies the correctness of bifurcation control.https://doi.org/10.1515/nleng-2022-0311valve-controlled hydraulic cylinder systembifurcation analysis and controlnormal form theoryhopf bifurcation theorydynamic-state feedback control |
| spellingShingle | Han Qin Zhang Liang Bifurcation analysis and control of the valve-controlled hydraulic cylinder system Nonlinear Engineering valve-controlled hydraulic cylinder system bifurcation analysis and control normal form theory hopf bifurcation theory dynamic-state feedback control |
| title | Bifurcation analysis and control of the valve-controlled hydraulic cylinder system |
| title_full | Bifurcation analysis and control of the valve-controlled hydraulic cylinder system |
| title_fullStr | Bifurcation analysis and control of the valve-controlled hydraulic cylinder system |
| title_full_unstemmed | Bifurcation analysis and control of the valve-controlled hydraulic cylinder system |
| title_short | Bifurcation analysis and control of the valve-controlled hydraulic cylinder system |
| title_sort | bifurcation analysis and control of the valve controlled hydraulic cylinder system |
| topic | valve-controlled hydraulic cylinder system bifurcation analysis and control normal form theory hopf bifurcation theory dynamic-state feedback control |
| url | https://doi.org/10.1515/nleng-2022-0311 |
| work_keys_str_mv | AT hanqin bifurcationanalysisandcontrolofthevalvecontrolledhydrauliccylindersystem AT zhangliang bifurcationanalysisandcontrolofthevalvecontrolledhydrauliccylindersystem |