Forgetting Factor Nonlinear Functional Analysis for Iterative Learning System with Time-Varying Disturbances and Unknown Uncertain
Automation, Control and Intelligent Systems
Volume 5, Issue 3, June 2017, Pages: 33-43
Received: Apr. 18, 2017; Accepted: Apr. 27, 2017; Published: Jun. 21, 2017
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Authors
Wei Zheng, Department of Electrical Engineering, Yanshan University, Qinhuangdao, China
Hong-Bin Wang, Department of Electrical Engineering, Yanshan University, Qinhuangdao, China; Liren Institute, 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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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.
Keywords
Feed-Forward Control, Iterative Learning Control Algorithm, Nonlinear Systems, Time-Varying Disturbances, Forgetting Factor
To cite this article
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, Automation, Control and Intelligent Systems. Vol. 5, No. 3, 2017, pp. 33-43. doi: 10.11648/j.acis.20170503.11
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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