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

Nguyen T. Thanh, Piyapong Niamsup and Vu N. Phat

International Journal of Systems Science, 2021, vol. 52, issue 7, 1386-1395

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.

Date: 2021
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DOI: 10.1080/00207721.2020.1857879

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