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Observer-based finite-time control of linear fractional-order systems with interval time-varying delay

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  • Nguyen T. Thanh
  • Piyapong Niamsup
  • Vu N. Phat

Abstract

In this paper, the problem of finite-time observer-based control for linear fractional-order systems with interval time-varying delay is studied. The delay is assumed to vary within an interval with known lower and upper bounds. A new proposition on estimating Caputo derivatives of quadratic functions is given. Based on the proposed result, delay-dependent sufficient conditions for finite-time stability and for designing state feedback controllers and observer gains for observer-based control problem are established in terms of a tractable linear matrix inequality and Mittag–Leffler function. A numerical example with simulation is given to demonstrate the effectiveness of the proposed method.

Suggested Citation

  • Nguyen T. Thanh & Piyapong Niamsup & Vu N. Phat, 2021. "Observer-based finite-time control of linear fractional-order systems with interval time-varying delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 52(7), pages 1386-1395, May.
    • Handle: RePEc:taf:tsysxx:v:52:y:2021:i:7:p:1386-1395
    DOI: 10.1080/00207721.2020.1857879
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    Cited by:

    1. Aghayan, Zahra Sadat & Alfi, Alireza & Mousavi, Yashar & Kucukdemiral, Ibrahim Beklan & Fekih, Afef, 2022. "Guaranteed cost robust output feedback control design for fractional-order uncertain neutral delay systems," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).

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