Abstract
This chapter proposes ILC for discrete-time affine nonlinear systems with randomly iteration-varying lengths. No prior information on the probability distribution of random iteration length is required prior to controller design. The conventional P-type update law is used with a modified tracking error because of randomly iteration-varying lengths. A novel technical lemma is proposed for the strict convergence analysis in pointwise sense.
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References
Sun M, Wang D (2001) Analysis of nonlinear discrete-time systems with higher-order iterative learning control. Dyn Control 11:81–96
Shen D, Zhang W, Xu J-X (2016) Iterative learning control for discrete nonlinear systems with randomly iteration varying lengths. Syst Control Lett 96:81–87
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Shen, D., Li, X. (2019). Modified Lambda-Norm Techniques for Nonlinear Discrete-Time Systems. In: Iterative Learning Control for Systems with Iteration-Varying Trial Lengths. Springer, Singapore. https://doi.org/10.1007/978-981-13-6136-4_8
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DOI: https://doi.org/10.1007/978-981-13-6136-4_8
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Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-6135-7
Online ISBN: 978-981-13-6136-4
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