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International Journal of Control Volume 89, 2016 - Issue 9: Adaptive Sliding Mode Control and Observation
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Original Articles

Certainty equivalence adaptation combined with super-twisting sliding-mode control

A. BarthInstitute for Automation and Systems Engineering, Technische Universität Ilmenau, Ilmenau, Germany
,
M. ReichhartingerInstitute of Automation and Control, Graz University of Technology, Graz, Austria
,
K. WulffInstitute for Automation and Systems Engineering, Technische Universität Ilmenau, Ilmenau, Germany
,
M. HornInstitute of Automation and Control, Graz University of Technology, Graz, Austria
&
J. RegerInstitute for Automation and Systems Engineering, Technische Universität Ilmenau, Ilmenau, GermanyCorrespondence[email protected]
Pages 1767-1776 | Received 08 Jun 2015, Accepted 13 Dec 2015, Published online: 02 Mar 2016

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Chih-Chiang Cheng & Jyun-Jie Lee. (2021) Design of adaptive terminal super-twisting controllers for nonlinear systems with mismatched perturbations. International Journal of Control 94:8, pages 2021-2031.
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Tiago Roux Oliveira, Victor Hugo Pereira Rodrigues, Antonio Estrada & Leonid Fridman. (2018) Output-feedback variable gain super-twisting algorithm for arbitrary relative degree systems. International Journal of Control 91:9, pages 2043-2059.
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Articles from other publishers (17)

Mohammadreza Askari Sepestanaki, Hamidreza Rezaee, Mohammad Soofi, Hossein Fayazi, Seyed Hossein Rouhani & Saleh Mobayen. (2024) Adaptive continuous barrier function-based super-twisting global sliding mode stabilizer for chaotic supply chain systems. Chaos, Solitons & Fractals 182, pages 114828.
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Mostafa Barghandan, Ali Akbar Pirmohamadi, Saleh Mobayen & Afef Fekih. (2023) Optimal adaptive barrier-function super-twisting nonlinear global sliding mode scheme for trajectory tracking of parallel robots. Heliyon 9:2, pages e13378.
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Christina Hettiger, Lars Watermann, Kiran Kumari, Lukas Eisenzopf, Florian Weissenberger, Martin Horn, Stefan Koch, Johann Reger & Markus Reichhartinger. (2022) On Discretization Methods for Indirect Adaptive Sliding Mode Control. On Discretization Methods for Indirect Adaptive Sliding Mode Control.
Florian Weissenberger, Lars Watermann, Stefan Koch, Markus Reichhartinger, Christina Hettiger, Lukas Eisenzopf, Kiran Kumari, Johann Reger & Martin Horn. (2022) Discretization of the Super-Twisting Algorithm Using Variational Integrators. Discretization of the Super-Twisting Algorithm Using Variational Integrators.
Christina Hettiger, Kiran Kumari, Lars Watermann, Lukas Eisenzopf, Florian Weissenberger, Martin Horn, Stefan Koch, Johann Reger & Markus Reichhartinger. (2022) Explicit Euler Discretization of an Indirect Adaptive Sliding Mode Control. Explicit Euler Discretization of an Indirect Adaptive Sliding Mode Control.
Zaheer Alam, Qudrat Khan, Laiq Khan, Safeer Ullah, Syed Abdul Mannan Kirmani & Abdullah A. Algethami. (2022) Certainty-Equivalence-Based Sensorless Robust Sliding Mode Control for Maximum Power Extraction of an Uncertain Photovoltaic System. Energies 15:6, pages 2029.
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YA-Jun Ma, Hui Zhao & Tao Li. (2021) Robust adaptive dual layer sliding mode controller: Methodology and application of uncertain robot manipulator. Transactions of the Institute of Measurement and Control 44:4, pages 848-860.
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Raheel Anjum, Ahmed Yar, Ghulam Murtaza, Qadeer Ahmed & A. I. Bhatti. (2021) Model-Based Unified Framework for Detection and Mitigation of Cyclic Torque Imbalance in a Gasoline Engine. Journal of Engineering for Gas Turbines and Power 143:7.
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Lars Watermann, Markus Reichhartinger & Johann Reger. (2020) Backstepping-Induced Indirect Adaptive Sliding Mode Control for Second Order Systems. Backstepping-Induced Indirect Adaptive Sliding Mode Control for Second Order Systems.
Stefan Koch & Markus Reichhartinger. (2019) Discrete-time equivalents of the super-twisting algorithm. Automatica 107, pages 190-199.
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Rihab Bkekri, Anouar Benamor, Mohamed Amine Alouane, Georges Fried & Hassani Messaoud. (2019) Robust adaptive super twisting controller: methodology and application of a human-driven knee joint orthosis. Industrial Robot: the international journal of robotics research and application 46:4, pages 481-489.
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Zhen Hu, Daqi Zhu, Caicha Cui & Bing Sun. (2018) Trajectory Tracking and Re-planning with Model Predictive Control of Autonomous Underwater Vehicles. Journal of Navigation 72:2, pages 321-341.
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Bing Sun, Wei Zhang, Aiguo Song, Xixi Zhu & Daqi Zhu. (2018) Trajectory Tracking and Obstacle Avoidance Control of Unmanned Underwater Vehicles Based on MPC. Trajectory Tracking and Obstacle Avoidance Control of Unmanned Underwater Vehicles Based on MPC.
Caicha Cui, Daqi Zhu & Bing Sun. (2018) Trajectory re-planning and tracking control of unmanned underwater vehicles on dynamic model. Trajectory re-planning and tracking control of unmanned underwater vehicles on dynamic model.
Alexander Barth, Johann Reger & Jaime A. Moreno. (2018) Indirect Adaptive Control for Higher Order Sliding Mode. IFAC-PapersOnLine 51:13, pages 591-596.
Crossref
Alexander Barth, Markus Reichhartinger, Kai Wulff, Johann Reger, Stefan Koch & Martin Horn. 2018. Advances in Variable Structure Systems and Sliding Mode Control—Theory and Applications. Advances in Variable Structure Systems and Sliding Mode Control—Theory and Applications 165 191 .
Alexander Barth, Markus Reichhartinger, Johann Reger, Martin Horn & Kai Wulff. (2016) Certainty-equivalence based super-twisting control using continuous adaptation laws. Certainty-equivalence based super-twisting control using continuous adaptation laws.

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