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Modified Lambda-Norm Techniques for Nonlinear Discrete-Time Systems

  • Dong ShenEmail author
  • Xuefang Li
Chapter

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.

References

  1. 1.
    Sun M, Wang D (2001) Analysis of nonlinear discrete-time systems with higher-order iterative learning control. Dyn Control 11:81–96MathSciNetCrossRefGoogle Scholar
  2. 2.
    Shen D, Zhang W, Xu J-X (2016) Iterative learning control for discrete nonlinear systems with randomly iteration varying lengths. Syst Control Lett 96:81–87MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.College of Information Science and TechnologyBeijing University of Chemical TechnologyBeijingChina
  2. 2.Department of Electrical and Electronic EngineeringImperial College LondonLondonUK

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