Robust Fractional-Order PID Controller Tuning Based on Bode’s Optimal Loop Shaping

This paper presents a novel fractional-order PID controller tuning strategy based on Bode’s optimal loop shaping which is commonly used for LTI feedback systems. Firstly, the controller parameters are achieved based on flat phase property and Bode’s optimal reference model, so that the controlled sy...

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Main Authors: Lu Liu, Shuo Zhang
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2018/6570560
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author Lu Liu
Shuo Zhang
author_facet Lu Liu
Shuo Zhang
author_sort Lu Liu
collection DOAJ
description This paper presents a novel fractional-order PID controller tuning strategy based on Bode’s optimal loop shaping which is commonly used for LTI feedback systems. Firstly, the controller parameters are achieved based on flat phase property and Bode’s optimal reference model, so that the controlled system is robust to gain variations and can achieve desirable transient performance according to various control requirements. Then, robustness analysis of the controlled system is carried out to support the results. Furthermore, the parameter setting is analyzed to demonstrate the superiority of the proposed controller. At last, some simulation examples are shown to verify the accuracy and usefulness of the proposed control strategy. The proposed fractional-order PID controller does not have any restriction on the controlled plant, so it can be widely applied on both integer-order and fractional-order systems.
format Article
id doaj-art-2ab445bfe1234aa79ec6f8884c7d2fd9
institution Kabale University
issn 1076-2787
1099-0526
language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-2ab445bfe1234aa79ec6f8884c7d2fd92025-02-03T01:30:14ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/65705606570560Robust Fractional-Order PID Controller Tuning Based on Bode’s Optimal Loop ShapingLu Liu0Shuo Zhang1School of Marine Science and Technology, Northwestern Polytechnical University, Xi’an 710072, ChinaDepartment of Applied Mathematics, Northwestern Polytechnical University, Xi’an 710072, ChinaThis paper presents a novel fractional-order PID controller tuning strategy based on Bode’s optimal loop shaping which is commonly used for LTI feedback systems. Firstly, the controller parameters are achieved based on flat phase property and Bode’s optimal reference model, so that the controlled system is robust to gain variations and can achieve desirable transient performance according to various control requirements. Then, robustness analysis of the controlled system is carried out to support the results. Furthermore, the parameter setting is analyzed to demonstrate the superiority of the proposed controller. At last, some simulation examples are shown to verify the accuracy and usefulness of the proposed control strategy. The proposed fractional-order PID controller does not have any restriction on the controlled plant, so it can be widely applied on both integer-order and fractional-order systems.http://dx.doi.org/10.1155/2018/6570560
spellingShingle Lu Liu
Shuo Zhang
Robust Fractional-Order PID Controller Tuning Based on Bode’s Optimal Loop Shaping
Complexity
title Robust Fractional-Order PID Controller Tuning Based on Bode’s Optimal Loop Shaping
title_full Robust Fractional-Order PID Controller Tuning Based on Bode’s Optimal Loop Shaping
title_fullStr Robust Fractional-Order PID Controller Tuning Based on Bode’s Optimal Loop Shaping
title_full_unstemmed Robust Fractional-Order PID Controller Tuning Based on Bode’s Optimal Loop Shaping
title_short Robust Fractional-Order PID Controller Tuning Based on Bode’s Optimal Loop Shaping
title_sort robust fractional order pid controller tuning based on bode s optimal loop shaping
url http://dx.doi.org/10.1155/2018/6570560
work_keys_str_mv AT luliu robustfractionalorderpidcontrollertuningbasedonbodesoptimalloopshaping
AT shuozhang robustfractionalorderpidcontrollertuningbasedonbodesoptimalloopshaping