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An Adaptive Discrete-Time ILC Strategy using Fuzzy Systems for Iteration-Varying Reference Trajectory Tracking

Teng-Fei Xiao, Xiao-Dong Li*, and John K. L. Ho
International Journal of Control, Automation, and Systems, vol. 13, no. 1, pp.222-230, 2015

Abstract : In this article, a novel fuzzy systems based on adaptive Iterative Learning Control (ILC) strategy is presented to deal with a class of non-parametric nonlinear discrete-time systems which perform iteration-varying reference trajectory tracking. Using the technique of fuzzy systems to compensate for the non-parametric uncertainty of the discrete-time system dynamics, the proposed adaptive ILC scheme can well track the iteration-varying reference trajectory beyond the initial time points. The convergence of the fuzzy systems based adaptive ILC algorithm is guaranteed by theoretical analysis, and a numerical example is given to illustrate the effectiveness of the adaptive ILC scheme.

Keyword : Discrete-time systems, fuzzy systems, iteration-varying reference trajectory, iterative learning control.

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