Asymptotically Convergent Higher-Order Switching Differentiator

Jang-Hyun Park, Tae-Sik Park and Seong-Hwan Kim
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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

Mathematics, 2020, vol. 8, issue 2, 1-17

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.

Keywords: differentiator-based controller; approximation-free; nonautonomous; uncertain nonlinear system (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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