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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