advanced
Volume 12 Issue 3
June  2015
Turn off MathJax
Article Contents
Relative Articles
Quan Quan and Kai-Yuan Cai. Repetitive Control for TORA Benchmark: An Additive-state-decomposition-based Approach. International Journal of Automation and Computing, vol. 12, no. 3, pp. 289-296, 2015. https://doi.org/10.1007/s11633-015-0885-y
Citation: Quan Quan and Kai-Yuan Cai. Repetitive Control for TORA Benchmark: An Additive-state-decomposition-based Approach. International Journal of Automation and Computing, vol. 12, no. 3, pp. 289-296, 2015. https://doi.org/10.1007/s11633-015-0885-y
shu

Repetitive Control for TORA Benchmark: An Additive-state-decomposition-based Approach

doi: 10.1007/s11633-015-0885-y

  • Department of Automatic Control, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

Funds:

This work was supported by National Natural Science Foundation of China (No. 61473012).

  • Received Date: 2014-04-29
  • Rev Recd Date: 2014-10-28
  • Publish Date: 2015-06-01
    Abstract
  • The repetitive control (RC) or repetitive controller problem for nonminimum phase nonlinear systems is both challenging and practical. In this paper, we consider an RC problem for the translational oscillator with a rotational actuator (TORA), which is a nonminimum phase nonlinear system. The major difficulty is to handle both a nonminimum phase RC problem and a nonlinear problem simultaneously. For such purpose, a new RC design, namely the additive-state-decomposition-based approach, is proposed, by which the nonminimum phase RC problem and the nonlinear problem are separated. This makes RC for the TORA benchmark tractable. To demonstrate the effectiveness of the proposed approach, a numerical simulation is given.

     

    • FullText(HTML)
  • loading
    • References(21)
  • [1]
    R. W. Longman. On the theory and design of linear repetitive control system. European Journal of Control, vol. 16, no. 5, pp. 447-496, 2010.
    [2]
    J. V. Flores, J. M. Gomes Da Silva Jr., L. F. A. Pereira, D. Sbarbaro. Repetitive control design for mimo systems with saturating actuators. IEEE Transactions on Automatic Control, vol. 57, no. 1, pp. 192-198, 2012.
    [3]
    L. Zhou, J. H. She, M. Wu. Design of a discrete-time output-feedback based repetitive-control system. International Journal of Automation and Computing, vol. 10, no. 4, pp. 343-349, 2013.
    [4]
    Y. F. Shan, K. K. Leang. Accounting for hysteresis in repetitive control design: Nanopositioning example. Automatica, vol. 48, no. 8, pp. 1751-1758, 2012.
    [5]
    W. Z. Lu, K. L. Zhou, D. W. Wang. General parallel structure digital repetitive control. International Journal of Control, vol. 86, no. 1, pp. 70-83, 2013.
    [6]
    Q. Quan, K. Y. Cai. A survey of repetitive control for nonlinear systems. Science Foundation in China, vol. 18, no. 2, pp. 45-53, 2010.
    [7]
    Z. Yang, S. C. P. Yam, L. K. Li, Y. W. Wang. Universal repetitive learning control for nonparametric uncertainty and unknown state-dependent control direction matrix. IEEE Transactions on Automatic Control, vol. 55, no. 7, pp. 1710-1715, 2010.
    [8]
    Q. Quan, K. Y. Cai. A filtered repetitive controller for a class of nonlinear systems. IEEE Transactions on Automatic Control, vol. 56, no. 2, pp. 399-405, 2011.
    [9]
    C. X. Hu, B. Yao, Z. Chen, Q. F. Wang. Adaptive robust repetitive control of an industrial biaxial precision gantry for contouring tasks. IEEE Transactions on Control Systems Technology, vol. 19, no. 6, pp. 1559-1568, 2011.
    [10]
    M. X. Sun. Partial-period adaptive repetitive control by symmetry. Automatica, vol. 48, no. 9, pp. 2137-2144, 2012.
    [11]
    C. J.Wan, D. S. Bernstein, V. T. Coppola. Global stabilization of the oscillating eccentric rotor. Nonlinear Dynamics, vol. 10, no. 1, pp. 49-62, 1996.
    [12]
    J. X. Zhao, I. Kanellakopoulos. Flexible backstepping design for tracking and disturbance attenuation. International Journal of Robust and Nonlinear Control, vol. 8, no. 4-5, pp. 331-348, 1998.
    [13]
    Q. Quan, K. Y. Cai, H. Lin. Additive-state-decompositionbased tracking control framework for a class of nonminimum phase systems with measurable nonlinearities and unknown disturbances. International Journal of Robust and Nonlinear Control, vol. 25, no. 2, pp. 163-178, 2015.
    [14]
    Q. Quan, K. Y. Cai. Additive-state-decomposition-based tracking control for TORA benchmark. Journal of Sound and Vibration, vol. 332, no. 20, pp. 4829-4841, 2013.
    [15]
    J. Huang, G. Q. Hu. Control design for the nonlinear benchmark problem via the output regulation method. Journal of Control Theory and Applications, vol. 2, no. 1, pp. 11-19, 2013.
    [16]
    A. Pavlov, B. Janssen, N. van de Wouw, H. Nijmeijer. Experimental output regulation for a nonlinear benchmark system. IEEE Transactions on Control Systems Technology, vol. 15, no. 4, pp. 786-793, 2007.
    [17]
    C. Fabio. Output regulation for the TORA benchmark via rotational position feedback. Automatica, vol. 47, no. 3, pp. 584-590, 2011.
    [18]
    W. Y. Lan, B. M. Chen, Z. T. Ding. Adaptive estimation and rejection of unknown sinusoidal disturbances through measurement feedback for a class of non-minimum phase nonlinear MIMO systems. International Journal of Adaptive Control and Signal Processing, vol. 20, no. 2, pp. 77-97, 2006.
    [19]
    Y. Jiang, J. Huang. Output regulation for a class of weakly minimum phase systems and its application to a nonlinear benchmark system. In Proceedings of the American Control Conference, IEEE, Saint. Louis, USA, pp. 5321-5326, 2009.
    [20]
    H. K. Khalil. Nonlinear Systems, New York, USA: Prentice-Hall, 2002.
    [21]
    H. J. Sussmann, E. D. Sontag, Y. Yang. A general result on the stabilization of linear systems using bounded controls. IEEE Transactions on Automatic Control, vol. 39, no. 12, pp. 2411-2425, 1994.
    • Relative Articles
    • Supplements(0)
    • Cited By
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索
    Get Citation
    PDF
    XML
    Entire Issue PDF

    用微信扫码二维码

    分享至好友和朋友圈

    Article Metrics

    Article views (4266) PDF downloads(1489) Cited by()
    Proportional views
    Related
    Browse MIR
    Published Online Current Issue Special Issue Archive Early Access
    About MIR
    Aims and Scopes Index information Editorial Board Contact Us Springer Page

    For Authors
    Guide for Authors Submission Template Copyright Agreement
    For Referees
    Guide for Referees Referees Acknowledgement

    MIR Event
    MIR News MIR Awards
    WeChat: 机器智能研究MIR
    Twitter: MIR_Journal

    © Institute of Automation, Chinese Academy of Sciences. Published by Springer Nature and Science Press. All rights reserved. 京ICP备14019135号-25

    Supported by Beijing Renhe Information Technology Co. Ltd  support: info@rhhz.net  

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return