Adaptive Control Design for Arneodo Chaotic System with Uncertain Parameters and Input Saturation

Adaptive Control Design for Arneodo Chaotic System with Uncertain Parameters and Input Saturation

In this paper, tracking controller and synchronization controller of the Arneodo chaotic system with uncertain parameters and input saturation are considered. An adaptive tracking control law and an adaptive synchronization control law are proposed based on backstepping and Lyapunov stability theory...

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Main Authors: Chunhua Cheng, Fengjuan Gao, Jingshuo Xu, Yuanxin Wang, Tao Yuan
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2020/3285414
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spelling doaj-c5fc7978ba434e10963253e1c74276682021-07-02T07:46:20ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/32854143285414Adaptive Control Design for Arneodo Chaotic System with Uncertain Parameters and Input SaturationChunhua Cheng0Fengjuan Gao1Jingshuo Xu2Yuanxin Wang3Tao Yuan4Qingdao Branch, Naval Aeronautic University, 266041 Qingdao, ChinaQingdao Branch, Naval Aeronautic University, 266041 Qingdao, ChinaQingdao Branch, Naval Aeronautic University, 266041 Qingdao, ChinaQingdao Branch, Naval Aeronautic University, 266041 Qingdao, ChinaQingdao Branch, Naval Aeronautic University, 266041 Qingdao, ChinaIn this paper, tracking controller and synchronization controller of the Arneodo chaotic system with uncertain parameters and input saturation are considered. An adaptive tracking control law and an adaptive synchronization control law are proposed based on backstepping and Lyapunov stability theory. The adaptive laws of the unknown parameters are derived by using the Lyapunov stability theory. To handle the effect caused by the input saturation, an auxiliary system is used to compensate the tracking error and synchronization error. The proposed adaptive tracking control and synchronization schemes ensure the effects of tracking and synchronization. Several examples have been detailed to illuminate the design procedure.http://dx.doi.org/10.1155/2020/3285414
collection DOAJ
language English
format Article
sources DOAJ
author Chunhua Cheng
Fengjuan Gao
Jingshuo Xu
Yuanxin Wang
Tao Yuan
spellingShingle Chunhua Cheng
Fengjuan Gao
Jingshuo Xu
Yuanxin Wang
Tao Yuan
Adaptive Control Design for Arneodo Chaotic System with Uncertain Parameters and Input Saturation
Advances in Mathematical Physics
author_facet Chunhua Cheng
Fengjuan Gao
Jingshuo Xu
Yuanxin Wang
Tao Yuan
author_sort Chunhua Cheng
title Adaptive Control Design for Arneodo Chaotic System with Uncertain Parameters and Input Saturation
title_short Adaptive Control Design for Arneodo Chaotic System with Uncertain Parameters and Input Saturation
title_full Adaptive Control Design for Arneodo Chaotic System with Uncertain Parameters and Input Saturation
title_fullStr Adaptive Control Design for Arneodo Chaotic System with Uncertain Parameters and Input Saturation
title_full_unstemmed Adaptive Control Design for Arneodo Chaotic System with Uncertain Parameters and Input Saturation
title_sort adaptive control design for arneodo chaotic system with uncertain parameters and input saturation
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9120
1687-9139
publishDate 2020-01-01
description In this paper, tracking controller and synchronization controller of the Arneodo chaotic system with uncertain parameters and input saturation are considered. An adaptive tracking control law and an adaptive synchronization control law are proposed based on backstepping and Lyapunov stability theory. The adaptive laws of the unknown parameters are derived by using the Lyapunov stability theory. To handle the effect caused by the input saturation, an auxiliary system is used to compensate the tracking error and synchronization error. The proposed adaptive tracking control and synchronization schemes ensure the effects of tracking and synchronization. Several examples have been detailed to illuminate the design procedure.
url http://dx.doi.org/10.1155/2020/3285414
work_keys_str_mv AT chunhuacheng adaptivecontroldesignforarneodochaoticsystemwithuncertainparametersandinputsaturation
AT fengjuangao adaptivecontroldesignforarneodochaoticsystemwithuncertainparametersandinputsaturation
AT jingshuoxu adaptivecontroldesignforarneodochaoticsystemwithuncertainparametersandinputsaturation
AT yuanxinwang adaptivecontroldesignforarneodochaoticsystemwithuncertainparametersandinputsaturation
AT taoyuan adaptivecontroldesignforarneodochaoticsystemwithuncertainparametersandinputsaturation
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