Application of a New Membership Function in Nonlinear Fuzzy PID Controllers with Variable Gains

Application of a New Membership Function in Nonlinear Fuzzy PID Controllers with Variable Gains

This paper proposes a nonlinear fuzzy PID control algorithm, whose membership function (MF) is adjustable, is universal, and has a wide adjustable range. Appling this function to fuzzy control theory will increase system’s tunability. The continuity of this function is proved. This method was emplo...

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Main Authors: Xuda Zhang, Hong Bao, Jingli Du, Congsi Wang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/482489
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spelling doaj-afdb767e770b4842a224132c9ea29bd42020-11-24T22:43:08ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/482489482489Application of a New Membership Function in Nonlinear Fuzzy PID Controllers with Variable GainsXuda Zhang0Hong Bao1Jingli Du2Congsi Wang3Key Laboratory of Electronic Equipment Structure Design of Ministry of Education, Xidian University, 2 Taibai Road, Xi’an 710071, ChinaKey Laboratory of Electronic Equipment Structure Design of Ministry of Education, Xidian University, 2 Taibai Road, Xi’an 710071, ChinaKey Laboratory of Electronic Equipment Structure Design of Ministry of Education, Xidian University, 2 Taibai Road, Xi’an 710071, ChinaKey Laboratory of Electronic Equipment Structure Design of Ministry of Education, Xidian University, 2 Taibai Road, Xi’an 710071, ChinaThis paper proposes a nonlinear fuzzy PID control algorithm, whose membership function (MF) is adjustable, is universal, and has a wide adjustable range. Appling this function to fuzzy control theory will increase system’s tunability. The continuity of this function is proved. This method was employed in the simulation and HIL experiments. Effectiveness and feasibility of this function are demonstrated in the results.http://dx.doi.org/10.1155/2014/482489
collection DOAJ
language English
format Article
sources DOAJ
author Xuda Zhang
Hong Bao
Jingli Du
Congsi Wang
spellingShingle Xuda Zhang
Hong Bao
Jingli Du
Congsi Wang
Application of a New Membership Function in Nonlinear Fuzzy PID Controllers with Variable Gains
Journal of Applied Mathematics
author_facet Xuda Zhang
Hong Bao
Jingli Du
Congsi Wang
author_sort Xuda Zhang
title Application of a New Membership Function in Nonlinear Fuzzy PID Controllers with Variable Gains
title_short Application of a New Membership Function in Nonlinear Fuzzy PID Controllers with Variable Gains
title_full Application of a New Membership Function in Nonlinear Fuzzy PID Controllers with Variable Gains
title_fullStr Application of a New Membership Function in Nonlinear Fuzzy PID Controllers with Variable Gains
title_full_unstemmed Application of a New Membership Function in Nonlinear Fuzzy PID Controllers with Variable Gains
title_sort application of a new membership function in nonlinear fuzzy pid controllers with variable gains
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2014-01-01
description This paper proposes a nonlinear fuzzy PID control algorithm, whose membership function (MF) is adjustable, is universal, and has a wide adjustable range. Appling this function to fuzzy control theory will increase system’s tunability. The continuity of this function is proved. This method was employed in the simulation and HIL experiments. Effectiveness and feasibility of this function are demonstrated in the results.
url http://dx.doi.org/10.1155/2014/482489
work_keys_str_mv AT xudazhang applicationofanewmembershipfunctioninnonlinearfuzzypidcontrollerswithvariablegains
AT hongbao applicationofanewmembershipfunctioninnonlinearfuzzypidcontrollerswithvariablegains
AT jinglidu applicationofanewmembershipfunctioninnonlinearfuzzypidcontrollerswithvariablegains
AT congsiwang applicationofanewmembershipfunctioninnonlinearfuzzypidcontrollerswithvariablegains
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