Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (3): 682-690.

• Articles • Previous Articles     Next Articles

Adaptive Iterative Learning Control for Nonlinearly Parameterized Systems with Time-Varying Delays

 LI Jun-Min   

  1. School of Science, Xidian University, Xi'an 710071
  • Received:2009-10-08 Revised:2010-09-29 Online:2011-06-25 Published:2011-06-25
  • Supported by:

    国家自然科学基金(60974139)和中央高校基本科研业务费专项资金资助

Abstract:

A new adaptive iterative learning control approach is proposed in this paper  for a class of nonlinear systems with unknown time-varying parameters and time-varying delays. By using the parameter separation technique combined with the signal replacement mechanism, the approach can be applied to   nonlinear systems with time-varying parameters and delay uncertainty. A novel adaptive control strategy is designed to ensure the tracking error converging to zero in the mean-square sense on the finite interval. A sufficient condition for the convergence is also given by constructing a Lyapunov-Krasovskii-like composite energy function. A simulation example is provided to illustrate the effectiveness of control algorithms proposed in this paper.

Key words: Nonlinearly parameterized systems, Adaptive iterative learning control, Time-varying parameters, Time-varying delays, Composite
energy function

CLC Number: 

  • 93C40
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