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›› 2011, Vol. 28 ›› Issue (3): 366-374.DOI: 10.7523/j.issn.2095-6134.2011.3.014

• Research Articles • Previous Articles     Next Articles

Iterative learning control for linear time-variant continuous systems with iteration-varying initial conditions and reference trajectories

DAI Hui1,2, LU Yi-Min2   

  1. 1. Hainan Software Professional Institute, Qionghai 571400, China;
    2. Department of Electronic & Information, Huazhong University of Science and Technology, Wuhan 430074, China
  • Received:2010-04-15 Revised:2010-07-21 Online:2011-05-15
  • Supported by:

    Supported by the National Natural Science Foundation of China (60874116) and Natural Science Foundation of Hainan province (610227) 

Abstract:

For non-strictly repetitive linear time-variant continuous systems, both the iterative initial conditions and the reference trajectories are iteration-varying within a bound. We present a kind of iterative learning controller with a rectifying action to the non-strictly repetitive tracking. The proposed controller can make the output tracking error beyond the initial time interval converge to a residual set whose size depends on the estimation error of input matrix. Especially, when the accurate input matrix is known, the output tracking error beyond the initial time interval can approach zero.

Key words: iteration-linear time-variant continuous systems, varying initial conditions, iteration-varying reference trajectories, iterative learning control

CLC Number: