Using Sine Function-Based Nonlinear Feedback to Control Water Tank Level

This manuscript addresses the feasibility and significance of using a sine function to modify the system error of a normal linear feedback control to achieve more efficient capabilities in terms of energy-saving. The associated mathematic modeling and assessment were demonstrated by presenting a cas...

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Autores principales:	Jian Zhao, Xianku Zhang, Yilin Chen, Pengrui Wang
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	sine function nonlinear feedback robust control level control Technology T
Acceso en línea:	https://doaj.org/article/e48bdcf87511436fac2803de2d33f244
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spelling	oai:doaj.org-article:e48bdcf87511436fac2803de2d33f2442021-11-25T17:27:07ZUsing Sine Function-Based Nonlinear Feedback to Control Water Tank Level10.3390/en142276021996-1073https://doaj.org/article/e48bdcf87511436fac2803de2d33f2442021-11-01T00:00:00Zhttps://www.mdpi.com/1996-1073/14/22/7602https://doaj.org/toc/1996-1073This manuscript addresses the feasibility and significance of using a sine function to modify the system error of a normal linear feedback control to achieve more efficient capabilities in terms of energy-saving. The associated mathematic modeling and assessment were demonstrated by presenting a case analysis on the capabilities of controlling water level for a single tank. The principle of robust control and the theories and detailed algorithm of Lyapunov stability were applied to assess the result derived by novel nonlinear feedback in the form of sine function for optimizing the robustness of the PID (Proportional–Integral–Derivative) controller and economizing energy. Two control simulations are compared: nonlinear feedback control using a sine function and conventional fuzzy control. The results reveal that using the nonlinear feedback controller, a reduction of up to 32.9% of the average controlled quantity is achieved, and the performance index is improved by 24.0% with satisfactory robustness. The proposed nonlinear feedback control using a sine function provides simplicity, convenient implementation, and energy efficiency.Jian ZhaoXianku ZhangYilin ChenPengrui WangMDPI AGarticlesine functionnonlinear feedbackrobust controllevel controlTechnologyTENEnergies, Vol 14, Iss 7602, p 7602 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	sine function nonlinear feedback robust control level control Technology T
spellingShingle	sine function nonlinear feedback robust control level control Technology T Jian Zhao Xianku Zhang Yilin Chen Pengrui Wang Using Sine Function-Based Nonlinear Feedback to Control Water Tank Level
description	This manuscript addresses the feasibility and significance of using a sine function to modify the system error of a normal linear feedback control to achieve more efficient capabilities in terms of energy-saving. The associated mathematic modeling and assessment were demonstrated by presenting a case analysis on the capabilities of controlling water level for a single tank. The principle of robust control and the theories and detailed algorithm of Lyapunov stability were applied to assess the result derived by novel nonlinear feedback in the form of sine function for optimizing the robustness of the PID (Proportional–Integral–Derivative) controller and economizing energy. Two control simulations are compared: nonlinear feedback control using a sine function and conventional fuzzy control. The results reveal that using the nonlinear feedback controller, a reduction of up to 32.9% of the average controlled quantity is achieved, and the performance index is improved by 24.0% with satisfactory robustness. The proposed nonlinear feedback control using a sine function provides simplicity, convenient implementation, and energy efficiency.
format	article
author	Jian Zhao Xianku Zhang Yilin Chen Pengrui Wang
author_facet	Jian Zhao Xianku Zhang Yilin Chen Pengrui Wang
author_sort	Jian Zhao
title	Using Sine Function-Based Nonlinear Feedback to Control Water Tank Level
title_short	Using Sine Function-Based Nonlinear Feedback to Control Water Tank Level
title_full	Using Sine Function-Based Nonlinear Feedback to Control Water Tank Level
title_fullStr	Using Sine Function-Based Nonlinear Feedback to Control Water Tank Level
title_full_unstemmed	Using Sine Function-Based Nonlinear Feedback to Control Water Tank Level
title_sort	using sine function-based nonlinear feedback to control water tank level
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/e48bdcf87511436fac2803de2d33f244
work_keys_str_mv	AT jianzhao usingsinefunctionbasednonlinearfeedbacktocontrolwatertanklevel AT xiankuzhang usingsinefunctionbasednonlinearfeedbacktocontrolwatertanklevel AT yilinchen usingsinefunctionbasednonlinearfeedbacktocontrolwatertanklevel AT pengruiwang usingsinefunctionbasednonlinearfeedbacktocontrolwatertanklevel
_version_	1718412380802646016

Using Sine Function-Based Nonlinear Feedback to Control Water Tank Level

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