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CEF Techniques for Nonparameterized Nonlinear Continuous-Time Systems

  • Dong ShenEmail author
  • Xuefang Li
Chapter

Abstract

This chapter proposes robust iterative learning control schemes for continuous-time nonlinear systems with various nonparametric uncertainties under nonuniform trial length circumstances. The nonuniform trial length is described by a random variable, which causes a random data missing problem while designing and analyzing algorithms for the precise tracking problem. Three common types of nonparametric uncertainties are taken into account: norm-bounded uncertainty, variation-norm-bounded uncertainty, and norm-bounded uncertainty with unknown coefficients. A novel composite energy function is introduced with the help of a newly defined virtual tracking error for the asymptotical convergence of the proposed schemes. Extensions to multi-input-multi-output cases are also elaborated. Illustrative simulations are provided to verify the theoretical results.

References

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    Shen D, Xu JX (2018) Robust learning control for nonlinear systems with nonparametric uncertainties and nonuniform trial lengths. Int J Robust Nonlinear Control.  https://doi.org/10.1002/rnc.4437

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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