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Asymptotically Convergent Higher-Order Switching Differentiator

Author

Listed:
  • Jang-Hyun Park

    (Department of Electrical and Control Engineering, Mokpo National University, Chonnam 58554, Korea)

  • Tae-Sik Park

    (Department of Electrical and Control Engineering, Mokpo National University, Chonnam 58554, Korea)

  • Seong-Hwan Kim

    (Department of Electrical and Control Engineering, Mokpo National University, Chonnam 58554, Korea)

Abstract

A novel switching-differentiator (SD) that can asymptotically track the time derivative of time-varying signal was previously proposed. This paper extends the previous SD to estimation of higher-order time derivatives. This study shows that higher-order time-derivatives can be estimated by connecting multiple SDs in cascade form. By successive applying the generalized Barbalat’s lemma, all higher-order tracking errors also approach zeros asymptotically. To illustrate the performance of the proposed higher-order switching differentiator, simulations were performed for estimating higher-order time-derivatives of a signal.

Suggested Citation

  • Jang-Hyun Park & Tae-Sik Park & Seong-Hwan Kim, 2020. "Asymptotically Convergent Higher-Order Switching Differentiator," Mathematics, MDPI, vol. 8(2), pages 1-17, February.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:2:p:185-:d:315993
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    Cited by:

    1. Jang-Hyun Park, 2023. "Differentiator-Based Output Feedback MPPT Controller for DFIG Wind Energy Conversion Systems with Minimal System Information," Energies, MDPI, vol. 16(20), pages 1-18, October.

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