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Set-point-related indirect iterative learning control for multi-input multi-output systems

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Abstract

A form of iterative learning control (ILC) is used to update the set-point for the local controller. It is referred to as set-point-related (SPR) indirect ILC. SPR indirect ILC has shown excellent performance: as a supervision module for the local controller, ILC can improve the tracking performance of the closed-loop system along the batch direction. In this study, an ILC-based P-type controller is proposed for multi-input multi-output (MIMO) linear batch processes, where a P-type controller is used to design the control signal directly and an ILC module is used to update the set-point for the P-type controller. Under the proposed ILC-based P-type controller, the closed-loop system can be transformed to a 2-dimensional (2D) Roesser’s system. Based on the 2D system framework, a sufficient condition for asymptotic stability of the closed-loop system is derived in this paper. In terms of the average tracking error (ATE), the closed-loop control performance under the proposed algorithm can be improved from batch to batch, even though there are repetitive disturbances. A numerical example is used to validate the proposed results.

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Authors and Affiliations

  1. School of Information Science and Electrical Engineering, Hebei University of Engineering, Handan, 056038, PRC

    Zhen-Yu Huo

  2. School of Science, Hebei University of Engineering, Handan, 056038, PRC

    Zhu Yang

  3. Institute of Uncertainty Mathematics, Hebei University of Engineering, Handan, 056038, PRC

    Yan-Jun Pang

Authors
  1. Zhen-Yu Huo
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  2. Zhu Yang
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  3. Yan-Jun Pang
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Corresponding author

Correspondence to Zhen-Yu Huo.

Additional information

This work was supported by National Natural Science Foundation of China (No. 60874116) and Natural Science Foundation of Hebei Province (No. F2009000857).

Zhen-Yu Huo received the bachelor and master degrees from Hebei University of Technology, PRC in 2001 and 2011, respectively. He is currently a lecturer at Hebei University of Engineering, PRC.

His research interests include electrical engineering, iterative learning control, and robust control.

Zhu Yang received the bachelor degree from Hebei Normal University, PRC in 2003. She is currently a postgraduate at Hebei University of Technology and a lecturer at Hebei University of Engineering, PRC.

Her research interests include rough sets theory and its application, and stochastic process.

Yan-Jun Pang received the bachelor degree from Hebei Normal University, PRC in 1984. He is currently a professor at Hebei University of Engineering, PRC.

His research interests include uncertainty mathematics expression and processing of information.

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Huo, ZY., Yang, Z. & Pang, YJ. Set-point-related indirect iterative learning control for multi-input multi-output systems. Int. J. Autom. Comput. 9, 266–273 (2012). https://doi.org/10.1007/s11633-012-0643-3

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  • DOI: https://doi.org/10.1007/s11633-012-0643-3

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