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Original Articles

Frequency-domain analysis and tuning of the algebraic differentiators

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Pages 2073-2081 | Received 10 Apr 2017, Accepted 21 Dec 2017, Published online: 11 Jan 2018

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Amine Othmane, Lothar Kiltz & Joachim Rudolph. (2022) Survey on algebraic numerical differentiation: historical developments, parametrization, examples, and applications. International Journal of Systems Science 53:9, pages 1848-1887.
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Articles from other publishers (11)

Amine Othmane. (2024) On the parametrization of algebraic differentiators in the light of ‘A survey on the discrete-time differentiators in closed-loop control systems: Experiments on an electro-pneumatic system’. Control Engineering Practice 144, pages 105811.
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Amine Othmane & Joachim Rudolph. (2023) AlgDiff: an open source toolbox for the design, analysis and discretisation of algebraic differentiators. at - Automatisierungstechnik 71:8, pages 612-623.
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Mohammad Rasool Mojallizadeh, Bernard Brogliato, Andrey Polyakov, Subiksha Selvarajan, Loïc Michel, Franck Plestan, Malek Ghanes, Jean-Pierre Barbot & Yannick Aoustin. (2023) A survey on the discrete-time differentiators in closed-loop control systems: Experiments on an electro-pneumatic system. Control Engineering Practice 136, pages 105546.
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Richard Seeber. (2023) Worst-case error bounds for the super-twisting differentiator in presence of measurement noise. Automatica 152, pages 110983.
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Hengguo Zhang, Hongmei Li, Jingkui Mao, Chen Pan & Zhiyuan Luan. (2022) Model-Free Control of Single-Phase Boost AC/DC Converters. IEEE Transactions on Power Electronics 37:10, pages 11828-11838.
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Mohammad Rasool Mojallizadeh, Bernard Brogliato & Vincent Acary. (2021) Time‐discretizations of differentiators: Design of implicit algorithms and comparative analysis. International Journal of Robust and Nonlinear Control 31:16, pages 7679-7723.
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Amine Othmane, Joachim Rudolph & Hugues Mounier. (2021) Systematic comparison of numerical differentiators and an application to model-free control. European Journal of Control 62, pages 113-119.
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Amine Othmane & Joachim Rudolph. (2021) Data and computation efficient model-based fault detection for rolling element bearings using numerical differentiation. Data and computation efficient model-based fault detection for rolling element bearings using numerical differentiation.
Bernard Brogliato & Andrey Polyakov. (2020) Digital implementation of sliding‐mode control via the implicit method: A tutorial. International Journal of Robust and Nonlinear Control 31:9, pages 3528-3586.
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A. Othmane, H. Mounier & J. Rudolph. (2021) Parametrization of algebraic differentiators for disturbance annihilation with an application to the differentiation of quantized signals. IFAC-PapersOnLine 54:9, pages 335-340.
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Hengguo Zhang, Hongmei Li, Yanan Zhou & Shenjie Zeng. (2019) Cascaded Proportional Control With Algebraic Estimators for PFC AC/DC Converters. IEEE Transactions on Power Electronics 34:12, pages 12504-12512.
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