Forgetting Factor Nonlinear Functional Analysis for Iterative Learning System with Time-Varying Disturbances and Unknown Uncertain

Wei Zheng; Hong-Bin Wang; Shu-Huan Wen; Zhi-Ming Zhang

doi:doi:10.11648/j.acis.20170503.11

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Forgetting Factor Nonlinear Functional Analysis for Iterative Learning System with Time-Varying Disturbances and Unknown Uncertain

Wei Zheng, Hong-Bin Wang, Shu-Huan Wen, Zhi-Ming Zhang

Published in Automation, Control and Intelligent Systems (Volume 5, Issue 3)

Received: 18 April 2017 Accepted: 27 April 2017 Published: 21 June 2017

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Abstract

This paper focuses on the iterative learning tracking control problem for a class of nonlinear system with time-varying disturbances. First, because of the mismatches in time-varying disturbances functions, a high-order feed-forward iterative learning control (ILC) is employed to change the original system into an iterative system. Secondly, a variable forgetting factor is developed to stabilize the system. Based on the feed-forward iterative learning controller, a memory controller is constructed for the nonlinear system. By choosing a new variable forgetting factor, we show that the designed continuous adaptive controller makes the solutions of the closed-loop system convergent to a ball exponentially. Finally, a numerical example is given to show the feasibility and effectiveness of the proposed method.

Published in	Automation, Control and Intelligent Systems (Volume 5, Issue 3)
DOI	10.11648/j.acis.20170503.11
Page(s)	33-43
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2017. Published by Science Publishing Group

Keywords

Feed-Forward Control, Iterative Learning Control Algorithm, Nonlinear Systems, Time-Varying Disturbances, Forgetting Factor

References

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APA Style

Wei Zheng, Hong-Bin Wang, Shu-Huan Wen, Zhi-Ming Zhang. (2017). Forgetting Factor Nonlinear Functional Analysis for Iterative Learning System with Time-Varying Disturbances and Unknown Uncertain. Automation, Control and Intelligent Systems, 5(3), 33-43. https://doi.org/10.11648/j.acis.20170503.11

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ACS Style

Wei Zheng; Hong-Bin Wang; Shu-Huan Wen; Zhi-Ming Zhang. Forgetting Factor Nonlinear Functional Analysis for Iterative Learning System with Time-Varying Disturbances and Unknown Uncertain. Autom. Control Intell. Syst. 2017, 5(3), 33-43. doi: 10.11648/j.acis.20170503.11

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AMA Style

Wei Zheng, Hong-Bin Wang, Shu-Huan Wen, Zhi-Ming Zhang. Forgetting Factor Nonlinear Functional Analysis for Iterative Learning System with Time-Varying Disturbances and Unknown Uncertain. Autom Control Intell Syst. 2017;5(3):33-43. doi: 10.11648/j.acis.20170503.11

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@article{10.11648/j.acis.20170503.11,
  author = {Wei Zheng and Hong-Bin Wang and Shu-Huan Wen and Zhi-Ming Zhang},
  title = {Forgetting Factor Nonlinear Functional Analysis for Iterative Learning System with Time-Varying Disturbances and Unknown Uncertain},
  journal = {Automation, Control and Intelligent Systems},
  volume = {5},
  number = {3},
  pages = {33-43},
  doi = {10.11648/j.acis.20170503.11},
  url = {https://doi.org/10.11648/j.acis.20170503.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acis.20170503.11},
  abstract = {This paper focuses on the iterative learning tracking control problem for a class of nonlinear system with time-varying disturbances. First, because of the mismatches in time-varying disturbances functions, a high-order feed-forward iterative learning control (ILC) is employed to change the original system into an iterative system. Secondly, a variable forgetting factor is developed to stabilize the system. Based on the feed-forward iterative learning controller, a memory controller is constructed for the nonlinear system. By choosing a new variable forgetting factor, we show that the designed continuous adaptive controller makes the solutions of the closed-loop system convergent to a ball exponentially. Finally, a numerical example is given to show the feasibility and effectiveness of the proposed method.},
 year = {2017}
}

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TY  - JOUR
T1  - Forgetting Factor Nonlinear Functional Analysis for Iterative Learning System with Time-Varying Disturbances and Unknown Uncertain
AU  - Wei Zheng
AU  - Hong-Bin Wang
AU  - Shu-Huan Wen
AU  - Zhi-Ming Zhang
Y1  - 2017/06/21
PY  - 2017
N1  - https://doi.org/10.11648/j.acis.20170503.11
DO  - 10.11648/j.acis.20170503.11
T2  - Automation, Control and Intelligent Systems
JF  - Automation, Control and Intelligent Systems
JO  - Automation, Control and Intelligent Systems
SP  - 33
EP  - 43
PB  - Science Publishing Group
SN  - 2328-5591
UR  - https://doi.org/10.11648/j.acis.20170503.11
AB  - This paper focuses on the iterative learning tracking control problem for a class of nonlinear system with time-varying disturbances. First, because of the mismatches in time-varying disturbances functions, a high-order feed-forward iterative learning control (ILC) is employed to change the original system into an iterative system. Secondly, a variable forgetting factor is developed to stabilize the system. Based on the feed-forward iterative learning controller, a memory controller is constructed for the nonlinear system. By choosing a new variable forgetting factor, we show that the designed continuous adaptive controller makes the solutions of the closed-loop system convergent to a ball exponentially. Finally, a numerical example is given to show the feasibility and effectiveness of the proposed method.
VL  - 5
IS  - 3
ER  -

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Author Information

Wei Zheng

Department of Electrical Engineering, Yanshan University, Qinhuangdao, China
Hong-Bin Wang

Department of Electrical Engineering, Yanshan University, Qinhuangdao, China
Shu-Huan Wen

Department of Electrical Engineering, Yanshan University, Qinhuangdao, China
Zhi-Ming Zhang

China National Heavy Machinery Research Institute, Xi'an, China

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Plain Text BibTeX RIS

APA Style

Wei Zheng, Hong-Bin Wang, Shu-Huan Wen, Zhi-Ming Zhang. (2017). Forgetting Factor Nonlinear Functional Analysis for Iterative Learning System with Time-Varying Disturbances and Unknown Uncertain. Automation, Control and Intelligent Systems, 5(3), 33-43. https://doi.org/10.11648/j.acis.20170503.11

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ACS Style

Wei Zheng; Hong-Bin Wang; Shu-Huan Wen; Zhi-Ming Zhang. Forgetting Factor Nonlinear Functional Analysis for Iterative Learning System with Time-Varying Disturbances and Unknown Uncertain. Autom. Control Intell. Syst. 2017, 5(3), 33-43. doi: 10.11648/j.acis.20170503.11

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AMA Style

Wei Zheng, Hong-Bin Wang, Shu-Huan Wen, Zhi-Ming Zhang. Forgetting Factor Nonlinear Functional Analysis for Iterative Learning System with Time-Varying Disturbances and Unknown Uncertain. Autom Control Intell Syst. 2017;5(3):33-43. doi: 10.11648/j.acis.20170503.11

Copy | Download

@article{10.11648/j.acis.20170503.11,
  author = {Wei Zheng and Hong-Bin Wang and Shu-Huan Wen and Zhi-Ming Zhang},
  title = {Forgetting Factor Nonlinear Functional Analysis for Iterative Learning System with Time-Varying Disturbances and Unknown Uncertain},
  journal = {Automation, Control and Intelligent Systems},
  volume = {5},
  number = {3},
  pages = {33-43},
  doi = {10.11648/j.acis.20170503.11},
  url = {https://doi.org/10.11648/j.acis.20170503.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acis.20170503.11},
  abstract = {This paper focuses on the iterative learning tracking control problem for a class of nonlinear system with time-varying disturbances. First, because of the mismatches in time-varying disturbances functions, a high-order feed-forward iterative learning control (ILC) is employed to change the original system into an iterative system. Secondly, a variable forgetting factor is developed to stabilize the system. Based on the feed-forward iterative learning controller, a memory controller is constructed for the nonlinear system. By choosing a new variable forgetting factor, we show that the designed continuous adaptive controller makes the solutions of the closed-loop system convergent to a ball exponentially. Finally, a numerical example is given to show the feasibility and effectiveness of the proposed method.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Forgetting Factor Nonlinear Functional Analysis for Iterative Learning System with Time-Varying Disturbances and Unknown Uncertain
AU  - Wei Zheng
AU  - Hong-Bin Wang
AU  - Shu-Huan Wen
AU  - Zhi-Ming Zhang
Y1  - 2017/06/21
PY  - 2017
N1  - https://doi.org/10.11648/j.acis.20170503.11
DO  - 10.11648/j.acis.20170503.11
T2  - Automation, Control and Intelligent Systems
JF  - Automation, Control and Intelligent Systems
JO  - Automation, Control and Intelligent Systems
SP  - 33
EP  - 43
PB  - Science Publishing Group
SN  - 2328-5591
UR  - https://doi.org/10.11648/j.acis.20170503.11
AB  - This paper focuses on the iterative learning tracking control problem for a class of nonlinear system with time-varying disturbances. First, because of the mismatches in time-varying disturbances functions, a high-order feed-forward iterative learning control (ILC) is employed to change the original system into an iterative system. Secondly, a variable forgetting factor is developed to stabilize the system. Based on the feed-forward iterative learning controller, a memory controller is constructed for the nonlinear system. By choosing a new variable forgetting factor, we show that the designed continuous adaptive controller makes the solutions of the closed-loop system convergent to a ball exponentially. Finally, a numerical example is given to show the feasibility and effectiveness of the proposed method.
VL  - 5
IS  - 3
ER  -

Copy | Download