Finite-Time Control for a Coupled Four-Tank Liquid Level System Based on the Port-Controlled Hamiltonian Method
This work investigates the finite-time control problem for a nonlinear four-tank cross-coupled liquid level system by the port-controlled Hamiltonian (PCH) model. A fixed-free methodology is exhibited which can be used to simplify the controller design procedure. To get an adjustable convergent gain...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/5320756 |
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| _version_ | 1832567856761405440 |
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| author | Tao Xu Haisheng Yu Jinpeng Yu |
| author_facet | Tao Xu Haisheng Yu Jinpeng Yu |
| author_sort | Tao Xu |
| collection | DOAJ |
| description | This work investigates the finite-time control problem for a nonlinear four-tank cross-coupled liquid level system by the port-controlled Hamiltonian (PCH) model. A fixed-free methodology is exhibited which can be used to simplify the controller design procedure. To get an adjustable convergent gain of the finite-time control, a feasible technique named damping normalization is proposed. A novel parameter autotuning algorithm is given to clarify the principle of choosing parameters of the PCH method. Furthermore, a finite-time controller is designed by a state-error desired Hamiltonian function, and the relationship between the settling time and a parameter is given, which can be applied in practical engineering easily to adjust the settling time according to the industrial need. Finally, simulation and experimental results verify the effectiveness of the proposed algorithm. |
| format | Article |
| id | doaj-art-3d69d33aed5745f995a1712b5b380dbc |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-3d69d33aed5745f995a1712b5b380dbc2025-02-03T01:00:20ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/53207565320756Finite-Time Control for a Coupled Four-Tank Liquid Level System Based on the Port-Controlled Hamiltonian MethodTao Xu0Haisheng Yu1Jinpeng Yu2School of Automation, Qingdao University, No. 308 Ningxia Road, Qingdao 266071, ChinaSchool of Automation, Qingdao University, No. 308 Ningxia Road, Qingdao 266071, ChinaSchool of Automation, Qingdao University, No. 308 Ningxia Road, Qingdao 266071, ChinaThis work investigates the finite-time control problem for a nonlinear four-tank cross-coupled liquid level system by the port-controlled Hamiltonian (PCH) model. A fixed-free methodology is exhibited which can be used to simplify the controller design procedure. To get an adjustable convergent gain of the finite-time control, a feasible technique named damping normalization is proposed. A novel parameter autotuning algorithm is given to clarify the principle of choosing parameters of the PCH method. Furthermore, a finite-time controller is designed by a state-error desired Hamiltonian function, and the relationship between the settling time and a parameter is given, which can be applied in practical engineering easily to adjust the settling time according to the industrial need. Finally, simulation and experimental results verify the effectiveness of the proposed algorithm.http://dx.doi.org/10.1155/2020/5320756 |
| spellingShingle | Tao Xu Haisheng Yu Jinpeng Yu Finite-Time Control for a Coupled Four-Tank Liquid Level System Based on the Port-Controlled Hamiltonian Method Complexity |
| title | Finite-Time Control for a Coupled Four-Tank Liquid Level System Based on the Port-Controlled Hamiltonian Method |
| title_full | Finite-Time Control for a Coupled Four-Tank Liquid Level System Based on the Port-Controlled Hamiltonian Method |
| title_fullStr | Finite-Time Control for a Coupled Four-Tank Liquid Level System Based on the Port-Controlled Hamiltonian Method |
| title_full_unstemmed | Finite-Time Control for a Coupled Four-Tank Liquid Level System Based on the Port-Controlled Hamiltonian Method |
| title_short | Finite-Time Control for a Coupled Four-Tank Liquid Level System Based on the Port-Controlled Hamiltonian Method |
| title_sort | finite time control for a coupled four tank liquid level system based on the port controlled hamiltonian method |
| url | http://dx.doi.org/10.1155/2020/5320756 |
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