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New results on robust tracking control for a class of high-order nonlinear time-delay systems

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  • Lingrong Xue
  • Zhenguo Liu
  • Zongyao Sun
  • Wei Sun

Abstract

This paper considers the global tracking control problem for a class of nonlinear systems. Compared with the existing results, one significant distinction of this work is that it allows the high-order powers, zero dynamics, time-delay and external disturbances. By constructing a new Lyapunov–Krasovskii (L–K) functional and using the modified adding a power integrator method, we successfully design a non-smooth tracking controller which guarantees that all the signals of the closed-loop system are bounded. The tracking error can be adjusted small enough using the designed parameters. As a practical application, in the simulation, the single-link robot system is studied to show the validness of the strategy.

Suggested Citation

  • Lingrong Xue & Zhenguo Liu & Zongyao Sun & Wei Sun, 2019. "New results on robust tracking control for a class of high-order nonlinear time-delay systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(10), pages 2002-2014, July.
    • Handle: RePEc:taf:tsysxx:v:50:y:2019:i:10:p:2002-2014
    DOI: 10.1080/00207721.2019.1646346
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    Cited by:

    1. Hakimi, A.R. & Azhdari, M. & Binazadeh, T., 2021. "Limit cycle oscillator in nonlinear systems with multiple time delays," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).

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