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International Journal of Control Volume 91, 2018 - Issue 9: Special Issue on Differentiators Guest Editors: Leonid Fridman, Markus Reichhartinger, Denis Efimov
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Original Articles

Adaptation of Levant's differentiator based on barrier function

Hussein ObeidUniversite Bourgogne Franche-Comté/UTBM, Belfort, FranceCorrespondence[email protected]
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Leonid FridmanDepartment of Robotics and Control, Engineering Faculty, Universidad Nacional Autónoma de México (UNAM), México, Mexico;Institute of Automation and Control, Graz University of Technology, Graz, AustriaORCID Iconhttp://orcid.org/0000-0003-0208-3615View further author information
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Salah LaghroucheUniversite Bourgogne Franche-Comté/UTBM, Belfort, FranceView further author information
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Mohamed HarmoucheActility, Paris, FranceView further author information
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Mohammad Ali GolkaniInstitute of Automation and Control, Graz University of Technology, Graz, AustriaView further author information
Pages 2019-2027 | Received 15 Feb 2017, Accepted 07 Nov 2017, Published online: 30 Nov 2017

Citations (21)

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Xinhua Wang. (2022) Design and analysis of stable differentiator-predictor. International Journal of Control 95:5, pages 1228-1250.
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Articles from other publishers (20)

Hua Bai, Sen Mei & Jiuxiang Dong. (2024) Hierarchical temporal sequence convergence in prescribed-time control for quadrotor UAVs under unknown dynamic disturbances. Aerospace Science and Technology 148, pages 109094.
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Wenxiang Yang, Yaozhen Han, Ronglin Ma, Mingdong Hou & Guang Yang. (2023) A Composite Super-Twisting Sliding Mode Approach for Platform Motion Suppression and Power Regulation of Floating Offshore Wind Turbine. Journal of Marine Science and Engineering 11:12, pages 2318.
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Andrej Sarjaš & Dušan Gleich. (2023) Event-Triggered Second-Order Sliding Mode Controller Design and Implementation. Mathematics 11:20, pages 4314.
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Dakai Liu & Sven Esche. (2023) Revised barrier function-based adaptive finite- and fixed-time convergence super-twisting control. Journal of Systems Engineering and Electronics 34:3, pages 775-782.
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Yuri Shtessel, Franck Plestan & Christopher Edwards. (2023) Adaptive sliding mode and second order sliding mode control with applications: a survey. IFAC-PapersOnLine 56:2, pages 761-772.
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Victor Hugo Pereira Rodrigues, Liu Hsu, Tiago Roux Oliveira & Leonid Fridman. 2023. Sliding-Mode Control and Variable-Structure Systems. Sliding-Mode Control and Variable-Structure Systems 307 334 .
Yuri Shtessel, Franck Plestan, Christopher Edwards & Arie Levant. 2023. Sliding-Mode Control and Variable-Structure Systems. Sliding-Mode Control and Variable-Structure Systems 267 305 .
Jair Luiz de Azevedo Filho & Eduardo Vieira Leao Nunes. (2022) Adaptive Super-Twisting Algorithm subject to Unbounded Disturbances without a priori Bounds. Adaptive Super-Twisting Algorithm subject to Unbounded Disturbances without a priori Bounds.
Liquan Jiang, Shuting Wang, Yuanlong Xie, Sheng Quan Xie, Shiqi Zheng & Jie Meng. (2022) Fractional robust finite time control of four-wheel-steering mobile robots subject to serious time-varying perturbations. Mechanism and Machine Theory 169, pages 104634.
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Ke Shao, Jinchuan Zheng, Hai Wang, Xueqian Wang, Renquan Lu & Zhihong Man. (2021) Tracking Control of a Linear Motor Positioner Based on Barrier Function Adaptive Sliding Mode. IEEE Transactions on Industrial Informatics 17:11, pages 7479-7488.
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Rayana H. Jaafar & Samer S. Saab. (2021) Approximate Differentiator With Varying Bandwidth for Control Tracking Applications. IEEE Control Systems Letters 5:5, pages 1585-1590.
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Zhiyong Yu, Shuzhen Yu, Haijun Jiang & Cheng Hu. (2021) Distributed consensus for multi‐agent systems via adaptive sliding mode control. International Journal of Robust and Nonlinear Control 31:15, pages 7125-7151.
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Hussein Obeid, Salah Laghrouche & Leonid Fridman. (2021) Dual layer barrier functions based adaptive higher order sliding mode control. International Journal of Robust and Nonlinear Control 31:9, pages 3795-3808.
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Lilia Sidhom, Ines Chihi & Ernest Nlandu Kamavuako. (2021) Software Sensor to Enhance Online Parametric Identification for Nonlinear Closed-Loop Systems for Robotic Applications. Sensors 21:11, pages 3653.
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Yuanlong Xie, Liquan Jiang, Jie Meng, Shuting Wang, Shiqi Zheng & Hao Wu. (2020) Asymmetric Barrier Function-based Adaptive Control of a Four-Wheel-Steering Mobile Robot * . Asymmetric Barrier Function-based Adaptive Control of a Four-Wheel-Steering Mobile Robot * .
Hussein Obeid, Salah Laghrouche, Leonid Fridman, Yacine Chitour & Mohamed Harmouche. (2020) Barrier Function-Based Adaptive Super-Twisting Controller. IEEE Transactions on Automatic Control 65:11, pages 4928-4933.
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Rajko Svečko, Dušan Gleich & Andrej Sarjaš. (2020) The Effective Chattering Suppression Technique with Adaptive Super-Twisted Sliding Mode Controller Based on the Quasi-Barrier Function; An Experimentation Setup. Applied Sciences 10:2, pages 595.
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Hussein Obeid, Salah Laghrouche & Leonid Fridman. (2019) A Barrier Function Based-Adaptive Super-Twisting Controller for Wind Energy Conversion System. A Barrier Function Based-Adaptive Super-Twisting Controller for Wind Energy Conversion System.
Susana V. Gutierrez, Jesús De León‐Morales, Franck Plestan & Oscar Salas‐Peña. (2019) A simplified version of adaptive super‐twisting control. International Journal of Robust and Nonlinear Control 29:16, pages 5704-5719.
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Hussein Obeid, Leonid Fridman, Salah Laghrouche & Mohamed Harmouche. (2018) Barrier Function-Based Adaptive Integral Sliding Mode Control. Barrier Function-Based Adaptive Integral Sliding Mode Control.

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