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Asymptotically Convergent Higher-Order Switching Differentiator

Department of Electrical and Control Engineering, Mokpo National University, Chonnam 58554, Korea
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Mathematics 2020, 8(2), 185; https://doi.org/10.3390/math8020185
Received: 5 December 2019 / Revised: 21 January 2020 / Accepted: 22 January 2020 / Published: 3 February 2020
(This article belongs to the Section Engineering Mathematics)
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. View Full-Text
Keywords: differentiator-based controller; approximation-free; nonautonomous; uncertain nonlinear system differentiator-based controller; approximation-free; nonautonomous; uncertain nonlinear system
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Park, J.-H.; Park, T.-S.; Kim, S.-H. Asymptotically Convergent Higher-Order Switching Differentiator. Mathematics 2020, 8, 185.

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