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Original Articles

An arbitrary-order differentiator design paradigm with adaptive gains

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Pages 2028-2042 | Received 31 Jan 2017, Accepted 16 Dec 2017, Published online: 02 Feb 2018

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Helmut Niederwieser, Markus Tranninger, Richard Seeber & Markus Reichhartinger. (2022) Unknown input observer design for linear time-invariant multivariable systems based on a new observer normal form. International Journal of Systems Science 53:10, pages 2180-2206.
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Shashank Verma, Sneha Sanjeevini, E. Dogan Sumer & Dennis S. Bernstein. Real-time numerical differentiation of sampled data using adaptive input and state estimation. International Journal of Control 0:0, pages 1-13.
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Linxi Xu, Kaiyu Qin, Fan Tang, Mengji Shi & Boxian Lin. (2024) A Novel Attitude Control Strategy for a Quadrotor Drone with Actuator Dynamics Based on a High-Order Sliding Mode Disturbance Observer. Drones 8:4, pages 131.
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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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Zhiyu Li, Bailing Tian & Xiuyun Zhang. (2023) Adaptive prescribed performance sliding mode control based on time‐varying barrier function. Asian Journal of Control.
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Ulises Pérez‐Ventura, Jonathan Escobar, Leonid Fridman & Rafael Iriarte. (2023) Design of the second‐order robust exact differentiator: A describing function approach. International Journal of Robust and Nonlinear Control 33:15, pages 8890-8910.
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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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David Gómez-Gutiérrez, Rodrigo Aldana-López, Richard Seeber, Marco Tulio Angulo & Leonid Fridman. (2023) An arbitrary-order exact differentiator with predefined convergence time bound for signals with exponential growth bound. Automatica 153, pages 110995.
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Richard Seeber & Stefan Koch. (2023) Structural Conditions for Chattering Avoidance in Implicitly Discretized Sliding Mode Differentiators. IEEE Control Systems Letters 7, pages 2065-2070.
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Markus Reichhartinger, Sebastian Vogl & Stefan Koch. (2023) Anti-Windup Schemes for Discrete-Time Super Twisting Algorithms*. IFAC-PapersOnLine 56:2, pages 1609-1614.
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Mohammad Rasool Mojallizadeh & Bernard Brogliato. 2023. Sliding-Mode Control and Variable-Structure Systems. Sliding-Mode Control and Variable-Structure Systems 165 180 .
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Ngo Phong Nguyen, Hyondong Oh & Jun Moon. (2022) Continuous Nonsingular Terminal Sliding-Mode Control With Integral-Type Sliding Surface for Disturbed Systems: Application to Attitude Control for Quadrotor UAVs Under External Disturbances. IEEE Transactions on Aerospace and Electronic Systems 58:6, pages 5635-5660.
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Markus Reichhartinger, Maximilian Graber, Martin Horn & Stefan Koch. (2022) Virtual Tyre-Force Sensors based on Sliding-Mode Filtering-Differentiator. Virtual Tyre-Force Sensors based on Sliding-Mode Filtering-Differentiator.
Shashank Verma, Sneha Sanjeevini, E. Dogan Sumer, Anouck Girard & Dennis S. Bernstein. (2022) On the Accuracy of Numerical Differentiation Using High-Gain Observers and Adaptive Input Estimation. On the Accuracy of Numerical Differentiation Using High-Gain Observers and Adaptive Input Estimation.
Italo Aranda & Gustavo Perez-Zuniga. (2022) Highly Maneuverable Target Tracking Under Glint Noise via Uniform Robust Exact Filtering Differentiator With Intrapulse Median Filter. IEEE Transactions on Aerospace and Electronic Systems 58:3, pages 2541-2559.
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Avi Hanan, Arie Levant & Adam Jbara. (2022) Low-Chattering Discretization of Homogeneous Differentiators. IEEE Transactions on Automatic Control 67:6, pages 2946-2956.
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Lukas Eisenzopf, Lars Watermann, Stefan Koch, Markus Reichhartinger, Johann Reger & Martin Horn. (2021) Adaptive Gain Super-Twisting-Algorithm: Design and Discretization. Adaptive Gain Super-Twisting-Algorithm: Design and Discretization.
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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Helmut Niederwieser, Christopher Zemann, Markus Goelles & Markus Reichhartinger. (2021) Model-Based Estimation of the Flue Gas Mass Flow in Biomass Boilers. IEEE Transactions on Control Systems Technology 29:4, pages 1609-1622.
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Avi Hanan, Adam Jbara & Arie Levant. 2021. Emerging Trends in Sliding Mode Control. Emerging Trends in Sliding Mode Control 1 46 .
Avi Hanan, Adam Jbara & Arie Levant. (2020) Non-chattering discrete differentiators based on sliding modes. Non-chattering discrete differentiators based on sliding modes.
Satyanarayana Muddasani & A. V. Ravi Teja. (2020) Orthogonal Signal Generation based PLL using Arbitrary Order Exact Differentiator with Inherent Disturbance Rejection for Single Phase Systems. Orthogonal Signal Generation based PLL using Arbitrary Order Exact Differentiator with Inherent Disturbance Rejection for Single Phase Systems.
Arie Levant & Miki Livne. (2020) Robust exact filtering differentiators. European Journal of Control 55, pages 33-44.
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Stefan Koch, Markus Reichhartinger, Martin Horn & Leonid Fridman. (2020) Discrete-Time Implementation of Homogeneous Differentiators. IEEE Transactions on Automatic Control 65:2, pages 757-762.
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Helmut Niederwieser, Stefan Koch & Markus Reichhartinger. (2019) A Generalization of Ackermann’s Formula for the Design of Continuous and Discontinuous Observers. A Generalization of Ackermann’s Formula for the Design of Continuous and Discontinuous Observers.
Michael Ruderman, Leonid Fridman & Philipp Pasolli. (2019) Virtual sensing of load forces in hydraulic actuators using second- and higher-order sliding modes. Control Engineering Practice 92, pages 104151.
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Stefan Koch & Markus Reichhartinger. (2019) Discrete-time equivalents of the super-twisting algorithm. Automatica 107, pages 190-199.
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Dongya Zhao, Shouli Gao, Sarah K. Spurgeon & Markus Reichhartinger. (2019) Adaptive Sliding Mode Dynamic Positioning Control for a Semi-Submersible Offshore Platform. Adaptive Sliding Mode Dynamic Positioning Control for a Semi-Submersible Offshore Platform.
Jakob Ludwiger, Markus Reichhartinger, Martin Steinberger & Martin Horn. (2019) Discrete-Time Super Twisting Controller for Networked Control Systems. IFAC-PapersOnLine 52:16, pages 789-794.
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Richard Seeber & Martin Horn. (2018) Necessary and sufficient stability criterion for the super-twisting algorithm. Necessary and sufficient stability criterion for the super-twisting algorithm.
M. Reichhartinger, S. Koch, H. Niederwieser & S.K. Spurgeon. (2018) The Robust Exact Differentiator Toolbox: Improved Discrete-Time Realization. The Robust Exact Differentiator Toolbox: Improved Discrete-Time Realization.
Markus Tranninger, Martin Steinberger, Leonid Fridman, Martin Horn & Sergiy Zhuk. (2018) Robust State Estimation for Linear Time Varying Lateral Vehicle Dynamics with Unknown Road Curvature. Robust State Estimation for Linear Time Varying Lateral Vehicle Dynamics with Unknown Road Curvature.
Stefan Koch & Markus Reichhartinger. (2018) Discrete-Time Equivalent Homogeneous Differentiators. Discrete-Time Equivalent Homogeneous Differentiators.

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