Journal of Systems Engineering and Electronics ›› 2012, Vol. 34 ›› Issue (10): 2117-2120.doi: 10.3969/j.issn.1001-506X.2012.10.24

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Iterative learning control for uncertain linear distributed parameter systems with control delay

DAI Xi-sheng1,2, TIAN Sen-ping1   

  1. 1. Department of Electronic Information and Control Engineering, Guangxi University of Technology, Liuzhou 545006, China;2. Systems Engineering Institute, South China University of Technology, Guangzhou 510640, China
  • Online:2012-10-19 Published:2010-01-03

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Abstract:

Under the condition that a certain error can exist in the initial value of system state in iterative processing, an iterative learning control problem for a class of uncertain linear distributed parameter systems with control delay is discussed. A P-type iterative learning algorithm based on the known time delay is presented, and the sufficient condition of L2 norm convergence is given. The convergence of the iterative algorithm is proved by using Green formula and Gronwall-Bellman inequality. A numerical example is addressed to illustrate the effectiveness of the proposed method.

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