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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Main Authors: Tao Xu, Haisheng Yu, Jinpeng Yu
Format: Article
Language:English
Published: Hindawi-Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/5320756
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spelling doaj-3d69d33aed5745f995a1712b5b380dbc2020-12-07T09:08:24ZengHindawi-WileyComplexity1076-27871099-05262020-01-01202010.1155/2020/53207565320756Finite-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
collection DOAJ
language English
format Article
sources DOAJ
author Tao Xu
Haisheng Yu
Jinpeng Yu
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
author_facet Tao Xu
Haisheng Yu
Jinpeng Yu
author_sort Tao Xu
title 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_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_sort finite-time control for a coupled four-tank liquid level system based on the port-controlled hamiltonian method
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2020-01-01
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.
url http://dx.doi.org/10.1155/2020/5320756
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AT haishengyu finitetimecontrolforacoupledfourtankliquidlevelsystembasedontheportcontrolledhamiltonianmethod
AT jinpengyu finitetimecontrolforacoupledfourtankliquidlevelsystembasedontheportcontrolledhamiltonianmethod
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