Discrete Dynamics-Based Parameter Analysis and Optimization of Fuzzy Controller for Inverted Pendulum Systems Based on Chaos Algorithm

Discrete Dynamics-Based Parameter Analysis and Optimization of Fuzzy Controller for Inverted Pendulum Systems Based on Chaos Algorithm

In order to reduce the difficulty in the selection of the quantization factor and the proportion factor in the general fuzzy controller, a controller with the novel algorithm based on the Logistic chaotic variable is proposed in this paper. By introducing the chaotic variable factor into the global...

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Main Authors: Xingguo Xia, Jianwei Xia, Mingyi Gang, Qingfeng Zhang, Jing Wang
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2020/3639508
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spelling doaj-ee271a990be249c7bed2aa79ae0f300f2020-11-25T03:26:26ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/36395083639508Discrete Dynamics-Based Parameter Analysis and Optimization of Fuzzy Controller for Inverted Pendulum Systems Based on Chaos AlgorithmXingguo Xia0Jianwei Xia1Mingyi Gang2Qingfeng Zhang3Jing Wang4Department of Electrical Engineering, Maanshan Technical College, Ma’anshan 243031, ChinaSchool of Mathematical Sciences, Liaocheng University, Liaocheng 252059, ChinaDepartment of Electrical Engineering, Maanshan Technical College, Ma’anshan 243031, ChinaDepartment of Electrical Engineering, Maanshan Technical College, Ma’anshan 243031, ChinaSchool of Electrical and Information Engineering, Anhui University of Technology, Ma’anshan 243002, ChinaIn order to reduce the difficulty in the selection of the quantization factor and the proportion factor in the general fuzzy controller, a controller with the novel algorithm based on the Logistic chaotic variable is proposed in this paper. By introducing the chaotic variable factor into the global search, the suboptimal solution can be obtained and the optimization interval reduced. The global optimal solution is obtained in the vicinity of the suboptimal solution under an integrated performance index. Finally, the control scheme is applied to the control of a double inverted pendulum model. The simulated results show the effectiveness of the proposed method.http://dx.doi.org/10.1155/2020/3639508
collection DOAJ
language English
format Article
sources DOAJ
author Xingguo Xia
Jianwei Xia
Mingyi Gang
Qingfeng Zhang
Jing Wang
spellingShingle Xingguo Xia
Jianwei Xia
Mingyi Gang
Qingfeng Zhang
Jing Wang
Discrete Dynamics-Based Parameter Analysis and Optimization of Fuzzy Controller for Inverted Pendulum Systems Based on Chaos Algorithm
Discrete Dynamics in Nature and Society
author_facet Xingguo Xia
Jianwei Xia
Mingyi Gang
Qingfeng Zhang
Jing Wang
author_sort Xingguo Xia
title Discrete Dynamics-Based Parameter Analysis and Optimization of Fuzzy Controller for Inverted Pendulum Systems Based on Chaos Algorithm
title_short Discrete Dynamics-Based Parameter Analysis and Optimization of Fuzzy Controller for Inverted Pendulum Systems Based on Chaos Algorithm
title_full Discrete Dynamics-Based Parameter Analysis and Optimization of Fuzzy Controller for Inverted Pendulum Systems Based on Chaos Algorithm
title_fullStr Discrete Dynamics-Based Parameter Analysis and Optimization of Fuzzy Controller for Inverted Pendulum Systems Based on Chaos Algorithm
title_full_unstemmed Discrete Dynamics-Based Parameter Analysis and Optimization of Fuzzy Controller for Inverted Pendulum Systems Based on Chaos Algorithm
title_sort discrete dynamics-based parameter analysis and optimization of fuzzy controller for inverted pendulum systems based on chaos algorithm
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2020-01-01
description In order to reduce the difficulty in the selection of the quantization factor and the proportion factor in the general fuzzy controller, a controller with the novel algorithm based on the Logistic chaotic variable is proposed in this paper. By introducing the chaotic variable factor into the global search, the suboptimal solution can be obtained and the optimization interval reduced. The global optimal solution is obtained in the vicinity of the suboptimal solution under an integrated performance index. Finally, the control scheme is applied to the control of a double inverted pendulum model. The simulated results show the effectiveness of the proposed method.
url http://dx.doi.org/10.1155/2020/3639508
work_keys_str_mv AT xingguoxia discretedynamicsbasedparameteranalysisandoptimizationoffuzzycontrollerforinvertedpendulumsystemsbasedonchaosalgorithm
AT jianweixia discretedynamicsbasedparameteranalysisandoptimizationoffuzzycontrollerforinvertedpendulumsystemsbasedonchaosalgorithm
AT mingyigang discretedynamicsbasedparameteranalysisandoptimizationoffuzzycontrollerforinvertedpendulumsystemsbasedonchaosalgorithm
AT qingfengzhang discretedynamicsbasedparameteranalysisandoptimizationoffuzzycontrollerforinvertedpendulumsystemsbasedonchaosalgorithm
AT jingwang discretedynamicsbasedparameteranalysisandoptimizationoffuzzycontrollerforinvertedpendulumsystemsbasedonchaosalgorithm
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