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H∞ approach to monotonically convergent ILC for uncertain time-varying delay systems

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  • Deyuan Meng
  • Yingmin Jia
  • Junping Du

Abstract

This paper deals with iterative learning control (ILC) design for uncertain time-delay systems. Monotonic convergence of the resulting ILC process is studied, and a sufficient condition within an H∞-based framework is developed. It is shown that under this framework, delay-dependent conditions can be obtained in terms of linear matrix inequalities (LMIs), together with formulas for gain matrices design. A numerical example is provided to illustrate the effectiveness of the robust H∞-based approach to ILC designed via LMIs.

Suggested Citation

  • Deyuan Meng & Yingmin Jia & Junping Du, 2015. "H∞ approach to monotonically convergent ILC for uncertain time-varying delay systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(2), pages 209-217, January.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:2:p:209-217
    DOI: 10.1080/00207721.2013.775392
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