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Decentralized iterative learning control for large-scale interconnected linear systems with fixed initial shifts

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  • Control Theory and Applications
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Abstract

This paper deals with the problem of iterative learning control for large-scale interconnected linear systems in the presence of fixed initial shifts. According to the characteristics of the systems, iterative learning control laws are proposed for such large-scale interconnected linear systems based on the PD-type learning schemes. The proposed controller of each subsystem only relies on local output variables without any information exchanges with other subsystems. Using the contraction mapping method, we show that the schemes can guarantee the output of the system converges uniformly to the corresponding output limiting trajectory over the whole time interval along the iteration axis. Simulation examples illustrate the effectiveness of the proposed method.

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Authors and Affiliations

  1. School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou, 215009, P. R. China

    Qin Fu, Pan-Pan Gu & Jian-Rong Wu

Authors
  1. Qin Fu
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  2. Pan-Pan Gu
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  3. Jian-Rong Wu
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Corresponding author

Correspondence to Qin Fu.

Additional information

Recommended by Associate Editor Jun Yoneyama under the direction of Editor PooGyeon Park. This work was supported by National Natural Science Foundation of China (No. 11371013) and Natural Science Foundation of Suzhou University of Science and Technology in 2016. The authors would like to express their gratitude to the editor and the anonymous referees for their valuable suggestions that have greatly improved the quality of the paper.

Qin Fu received the Ph.D degree in Control Theory and Control Engineering from Nanjing University of Science and Technology, China in 2009. He is currently an associate professor of Suzhou University of Science and Technology. His research interests include decentralized control, robust control, and iterative learning control.

Pan-Pan Gu is currently pursuing an M.S. in School of Mathematics and Physics, Suzhou University of Science and Technology, China. His research interest is iterative learning control.

Jian-Rong Wu received his B.S. degree in Mathematics from Nanjing Normal University, China in 1985, his M.S. and Ph.D degrees in Mathematics from Harbin Institue Technology, China in 1988 and 2000. He is currently a professor of Suzhou University of Science and Technology. His research interests are in the areas of fuzzy systems and singular systems etc.

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Fu, Q., Gu, PP. & Wu, JR. Decentralized iterative learning control for large-scale interconnected linear systems with fixed initial shifts. Int. J. Control Autom. Syst. 15, 1991–2000 (2017). https://doi.org/10.1007/s12555-016-0235-z

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  • DOI: https://doi.org/10.1007/s12555-016-0235-z

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