Prescribed Performance Neural Control of Strict-Feedback Systems via Disturbance Observers

This paper provides a disturbance observer-based prescribed performance control method for uncertain strict-feedback systems. To guarantee that the tracking error meets a design prescribed performance boundary (PPB) condition, an improved prescribed performance function is introduced. And radial bas...

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Main Authors: Wei Xiang, Guangkui Xu, Fang Zhu, Chunzhi Yang
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/8835512
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author Wei Xiang
Guangkui Xu
Fang Zhu
Chunzhi Yang
author_facet Wei Xiang
Guangkui Xu
Fang Zhu
Chunzhi Yang
author_sort Wei Xiang
collection DOAJ
description This paper provides a disturbance observer-based prescribed performance control method for uncertain strict-feedback systems. To guarantee that the tracking error meets a design prescribed performance boundary (PPB) condition, an improved prescribed performance function is introduced. And radial basis function neural networks (RBFNNs) are used to approximate nonlinear functions, while second-order filters are employed to eliminate the “explosion-complexity” problem inherent in the existing method. Meanwhile, disturbance observers are constructed to estimate the compounded disturbance which includes time-varying disturbances and network construction errors. The stability of the whole closed-loop system is guaranteed via Lyapunov theory. Finally, comparative simulation results confirm that the proposed control method can achieve better tracking performance.
format Article
id doaj-art-55c0a32e0c8f4eb194ef0c5f27430e09
institution Kabale University
issn 1076-2787
1099-0526
language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-55c0a32e0c8f4eb194ef0c5f27430e092025-02-03T01:28:18ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/88355128835512Prescribed Performance Neural Control of Strict-Feedback Systems via Disturbance ObserversWei Xiang0Guangkui Xu1Fang Zhu2Chunzhi Yang3Department of Applied Mathematics, Huainan Normal University, Huainan 232038, ChinaDepartment of Applied Mathematics, Huainan Normal University, Huainan 232038, ChinaDepartment of Applied Mathematics, Huainan Normal University, Huainan 232038, ChinaDepartment of Applied Mathematics, Huainan Normal University, Huainan 232038, ChinaThis paper provides a disturbance observer-based prescribed performance control method for uncertain strict-feedback systems. To guarantee that the tracking error meets a design prescribed performance boundary (PPB) condition, an improved prescribed performance function is introduced. And radial basis function neural networks (RBFNNs) are used to approximate nonlinear functions, while second-order filters are employed to eliminate the “explosion-complexity” problem inherent in the existing method. Meanwhile, disturbance observers are constructed to estimate the compounded disturbance which includes time-varying disturbances and network construction errors. The stability of the whole closed-loop system is guaranteed via Lyapunov theory. Finally, comparative simulation results confirm that the proposed control method can achieve better tracking performance.http://dx.doi.org/10.1155/2020/8835512
spellingShingle Wei Xiang
Guangkui Xu
Fang Zhu
Chunzhi Yang
Prescribed Performance Neural Control of Strict-Feedback Systems via Disturbance Observers
Complexity
title Prescribed Performance Neural Control of Strict-Feedback Systems via Disturbance Observers
title_full Prescribed Performance Neural Control of Strict-Feedback Systems via Disturbance Observers
title_fullStr Prescribed Performance Neural Control of Strict-Feedback Systems via Disturbance Observers
title_full_unstemmed Prescribed Performance Neural Control of Strict-Feedback Systems via Disturbance Observers
title_short Prescribed Performance Neural Control of Strict-Feedback Systems via Disturbance Observers
title_sort prescribed performance neural control of strict feedback systems via disturbance observers
url http://dx.doi.org/10.1155/2020/8835512
work_keys_str_mv AT weixiang prescribedperformanceneuralcontrolofstrictfeedbacksystemsviadisturbanceobservers
AT guangkuixu prescribedperformanceneuralcontrolofstrictfeedbacksystemsviadisturbanceobservers
AT fangzhu prescribedperformanceneuralcontrolofstrictfeedbacksystemsviadisturbanceobservers
AT chunzhiyang prescribedperformanceneuralcontrolofstrictfeedbacksystemsviadisturbanceobservers