A journal of IEEE and CAA , publishes high-quality papers in English on original theoretical/experimental research and development in all areas of automation
Volume 1 Issue 3
Jul.  2014

IEEE/CAA Journal of Automatica Sinica

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Xisheng Dai, Senping Tian, Yunjian Peng and Wenguang Luo, "Closed-loop P-type Iterative Learning Control of Uncertain Linear Distributed Parameter Systems," IEEE/CAA J. of Autom. Sinica, vol. 1, no. 3, pp. 267-273, 2014.
Citation: Xisheng Dai, Senping Tian, Yunjian Peng and Wenguang Luo, "Closed-loop P-type Iterative Learning Control of Uncertain Linear Distributed Parameter Systems," IEEE/CAA J. of Autom. Sinica, vol. 1, no. 3, pp. 267-273, 2014.

Closed-loop P-type Iterative Learning Control of Uncertain Linear Distributed Parameter Systems

Funds:

This work was supported by National Natural Science Foundation of China (61364006, 61374104), Guangxi Higher Education Science Research Program (201203YB125), Ph. D. Start-up Foundation of Guangxi University of Science and Technology (03081520).

  • An iterative learning control problem for a class of uncertain linear parabolic distributed parameter systems is discussed, which covers many processes such as heat and mass transfer, convection diffusion and transport. Under condition of allowing system state initially to have error in the iterative process a closed-loop P-type iterative learning algorithm is presented, and the sufficient condition of tracking error convergence in L2 norm is given. Next, the convergence of the tracking error in L2 and W1,2 space is proved by using Gronwall-Bellman inequality and Sobolev inequality. In the end, a numerical example is given to illustrate the effectiveness of the proposed method.

     

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  • [1]
    Sun Ming-Xuan, Huang Bao-Jian. Iterative Learning Control. Beijing: National Defence Industry Press, 1999. (in Chinese)
    [2]
    Oh S R, Bien Z, Suh I. An iterative learning control method with application for robot manipulator. IEEE Journal of Robot and Automation, 1988, 4(5): 508-514
    [3]
    Hou Z S, Xu J X, Zhong H W. Freeway traffic control using iterative learning control based ramp metering and speed signaling. IEEE Transactions on Vehicular Technology, 2007, 56(2): 466-477
    [4]
    Hou Z S, Wang Y. Terminal iterative learning control based station stop control of a train. International Journal of Control, 2011, 84(7): 1263-1274
    [5]
    Wang Y Q, Dassau E, Doyle III F J. Close-loop control of artificial pancreatic β-cell in type diabetes mellitus using model predictive iterative learning control. IEEE Transactions Biomedical Engineering, 2010, 57(2): 211-219
    [6]
    Xu J X, Hu Q P, Lee T H, Yamamoto S. Iterative learning control with Smith time delay compensator for batch processes. Journal of Process Control, 2001, 11(3): 321-328
    [7]
    Lin Hui, Wang Lin. Iterative Learning Control. Xi0an: Northwestern Polytechnical University Press, 1998. (in Chinese)
    [8]
    Xie Sheng-Li, Tian Sen-Ping, Xie Zheng-Dong. Theory and Application of Iterative Learning Control. Beijing: Science Press, 2005. 82-102. (in Chinese)
    [9]
    Bien Z, Xu J X. Iterative Learning Control---Analysis, Design, Integration and Applications. Boston: Kluwer Academic Press, 1998.
    [10]
    Xu J X, Tan Y. Linear and nonlinear iterative learning control. Series of Lecture Notes in Control and Information Science. Berlin: Springer-Verlag, 2003.
    [11]
    Chen Y Q, Wen C Y. Iterative learning control-convergence, robustness and applications. Series of Lecture Notes in Control and Information Science. Berlin: Springer-Verlag, 2003.
    [12]
    Li Y, Chen Y Q, Ahn H S. Fractional-order iterative learning control for fractional-order linear systems. Asian Journal of Control, 2011, 13(1): 54-63
    [13]
    Piao Feng-Xian, Zhang Qing-Ling, Wang Zhe-Feng. Iterative learning control for a class of singular systems. Acta Automatica Sinica, 2007, 33(6): 658-659. (in Chinese)
    [14]
    Chi R H, Hou Z S. Dual-stage optimal iterative learning control for nonlinear non-affine discrete-time system. Acta Automatica Sinica, 2007, 32(10): 1061-1065
    [15]
    Choi J H, Seo B J, Lee K S. Constrained digital regulation of hyperbolic PDE systems: a learning control approach. Journal of Chemical Engineering, 2001, 18(5): 606-611.
    [16]
    Qu Z H. An iterative learning algorithm for boundary control of a stretched moving string. Automatica, 2002, 38(1): 821-827.
    [17]
    Chao X, Arastoo R, Schuster E. On iterative learning control of parabolic distributed parameter systems. In: Proceedings of the 17th Mediterranean Conference on Control Automation, Makedonia Palace. Thessaloniki, Greece: IEEE, 2009. 510-515
    [18]
    Zhao H Y, Rahn C D. Iterative learning velocity and tension control for single span axially moving materials. Journal of Dynamic System Measure Control, 2008, 130(5): 051003
    [19]
    Huang D Q, Xu J X. Steady-state iterative learning control for a class of nonlinear PDE processes. Journal of Process Control, 2011, 21(8): 1155-1163
    [20]
    Huang D Q, Xu J X, Li X F, Xu C, Yu M. D-type anticipator iterative learning control for a class in homogeneous heat equations. Automatica, 2013, 49(8): 2397-2408
    [21]
    Zeng N, Ying X. Iterative learning control algorithm for nonlinear dynamical systems. Acta Automatica Sinica, 1992, 18(2): 168-176
    [22]
    Evans L C. Partial Differential Equations. Providence: American Mathematical Society, 1998.

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