Skip to main content

Random Iteration-Varying Lengths for Nonlinear Systems

  • Chapter
  • First Online:
Iterative Learning Control with Passive Incomplete Information
  • 506 Accesses

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 for 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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 119.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 159.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Li, X., Xu, J.-X., Huang, D.: An iterative learning control approach for linear systems with randomly varying trial lengths. IEEE Trans. Autom. Control 59(7), 1954–1960 (2014)

    Article  MathSciNet  Google Scholar 

  2. Bristow, D.A., Tharayil, M., Alleyne, A.G.: A survey of iterative learning control: a learning-based method for high-performance tracking control. IEEE Control Syst. Mag. 26(3), 96–114 (2006)

    Article  Google Scholar 

  3. Sun, M., Wang, D.: Analysis of nonlinear discrete-time systems with higher-order iterative learning control. Dyn. Control 11, 81–96 (2001)

    Article  MathSciNet  Google Scholar 

  4. Shen, D., Zhang, W., Xu, J.-X.: Iterative learning control for discrete nonlinear systems with randomly iteration varying lengths. Syst. Control Lett. 96, 81–87 (2016)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dong Shen .

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Nature Singapore Pte Ltd.

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Shen, D. (2018). Random Iteration-Varying Lengths for Nonlinear Systems. In: Iterative Learning Control with Passive Incomplete Information. Springer, Singapore. https://doi.org/10.1007/978-981-10-8267-2_13

Download citation

  • DOI: https://doi.org/10.1007/978-981-10-8267-2_13

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-8266-5

  • Online ISBN: 978-981-10-8267-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics