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Stability of iterative learning control with data dropouts via asynchronous dynamical system

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Abstract

In this paper, the stability of iterative learning control with data dropouts is discussed. By the super vector formulation, an iterative learning control (ILC) system with data dropouts can be modeled as an asynchronous dynamical system with rate constraints on events in the iteration domain. The stability condition is provided in the form of linear matrix inequalities (LMIS) depending on the stability of asynchronous dynamical systems. The analysis is supported by simulations.

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Authors and Affiliations

  1. Advanced Control Systems Laboratory, School of Electronics and Information Engineering, Beijing Jiaotong University, Beijing, 100044, PRC

    Xu-Hui Bu & Zhong-Sheng Hou

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  1. Xu-Hui Bu
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Corresponding author

Correspondence to Zhong-Sheng Hou.

Additional information

This work was supported by General Program (No. 60774022) and State Key Program (No. 60834001) of National Natural Science Foundation of China.

Xu-Hui Bu received the bachelor and master degrees from Henan Polytechnic University, Jiaozuo, PRC in 2004 and 2007, respectively. He is currently a Ph.D. candidate in Beijing Jiaotong University, Beijing, PRC.

His research interests include model free adaptive control, iterative learning control, and robust control.

Zhong-Sheng Hou received the bachelor and master degrees in applied mathematics from Jilin University of Technology, Changchun, PRC in 1983 and 1988, respectively, and the Ph.D. degree in control theory from Northeastern University, Shenyang, PRC in 1994. From 1988 to 1992, he has been a lecturer with the Department of Applied Mathematics, Shenyang Polytechnic University. He has been a postdoctoral fellow with the Harbin Institute of Technology, Harbin, PRC from 1995 to 1997 and a visiting scholar with Yale University, New Haven, USA from 2002 to 2003. In 1997, he joined the Beijing Jiaotong University, Beijing, PRC and is currently a full professor with the Department of Automatic Control, and Advanced Control Systems Laboratory, School of Electronics and Information Engineering. He is the author of the monograph Nonparametric Model and Its Adaptive Control Theory published by Science Press of China, and the holder of the patent invention Model Free Control Technique Chinese Patent (ZL 94 112504. 1) issued in 2000.

His research interests include model free adaptive control, learning control, and intelligent transportation systems.

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Bu, XH., Hou, ZS. Stability of iterative learning control with data dropouts via asynchronous dynamical system. Int. J. Autom. Comput. 8, 29–36 (2011). https://doi.org/10.1007/s11633-010-0551-3

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  • DOI: https://doi.org/10.1007/s11633-010-0551-3

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