Multiscale Chebyshev Neural Network Identification and Adaptive Control for Backlash-Like Hysteresis System

An adaptive control based on a new Multiscale Chebyshev Neural Network (MSCNN) identification is proposed for the backlash-like hysteresis nonlinearity system in this paper. Firstly, a MSCNN is introduced to approximate the backlash-like nonlinearity of the system, and then, the Lyapunov theorem ass...

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Main Authors: Xuehui Gao, Ruiguo Liu
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2018/1872493
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author Xuehui Gao
Ruiguo Liu
author_facet Xuehui Gao
Ruiguo Liu
author_sort Xuehui Gao
collection DOAJ
description An adaptive control based on a new Multiscale Chebyshev Neural Network (MSCNN) identification is proposed for the backlash-like hysteresis nonlinearity system in this paper. Firstly, a MSCNN is introduced to approximate the backlash-like nonlinearity of the system, and then, the Lyapunov theorem assures the identification approach is effective. Afterward, to simplify the control design, tracking error is transformed into a scalar error with Laplace transformation. Therefore, an adaptive control strategy based on the transformed scalar error is proposed, and all the signals of the closed-loop system are uniformly ultimately bounded (UUB). Finally, simulation results have demonstrated the performance of the proposed control scheme.
format Article
id doaj-art-c7c9be614814417c829ef5f3d0cf0ffa
institution Kabale University
issn 1076-2787
1099-0526
language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-c7c9be614814417c829ef5f3d0cf0ffa2025-08-20T03:24:10ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/18724931872493Multiscale Chebyshev Neural Network Identification and Adaptive Control for Backlash-Like Hysteresis SystemXuehui Gao0Ruiguo Liu1Department of Mechanical and Electrical Engineering, Shandong University of Science and Technology, Tai’an 271019, ChinaDepartment of Mechanical and Electrical Engineering, Shandong University of Science and Technology, Tai’an 271019, ChinaAn adaptive control based on a new Multiscale Chebyshev Neural Network (MSCNN) identification is proposed for the backlash-like hysteresis nonlinearity system in this paper. Firstly, a MSCNN is introduced to approximate the backlash-like nonlinearity of the system, and then, the Lyapunov theorem assures the identification approach is effective. Afterward, to simplify the control design, tracking error is transformed into a scalar error with Laplace transformation. Therefore, an adaptive control strategy based on the transformed scalar error is proposed, and all the signals of the closed-loop system are uniformly ultimately bounded (UUB). Finally, simulation results have demonstrated the performance of the proposed control scheme.http://dx.doi.org/10.1155/2018/1872493
spellingShingle Xuehui Gao
Ruiguo Liu
Multiscale Chebyshev Neural Network Identification and Adaptive Control for Backlash-Like Hysteresis System
Complexity
title Multiscale Chebyshev Neural Network Identification and Adaptive Control for Backlash-Like Hysteresis System
title_full Multiscale Chebyshev Neural Network Identification and Adaptive Control for Backlash-Like Hysteresis System
title_fullStr Multiscale Chebyshev Neural Network Identification and Adaptive Control for Backlash-Like Hysteresis System
title_full_unstemmed Multiscale Chebyshev Neural Network Identification and Adaptive Control for Backlash-Like Hysteresis System
title_short Multiscale Chebyshev Neural Network Identification and Adaptive Control for Backlash-Like Hysteresis System
title_sort multiscale chebyshev neural network identification and adaptive control for backlash like hysteresis system
url http://dx.doi.org/10.1155/2018/1872493
work_keys_str_mv AT xuehuigao multiscalechebyshevneuralnetworkidentificationandadaptivecontrolforbacklashlikehysteresissystem
AT ruiguoliu multiscalechebyshevneuralnetworkidentificationandadaptivecontrolforbacklashlikehysteresissystem