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International Journal of Control Volume 90, 2017 - Issue 12
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Original Articles

Stabilisation of perturbed chains of integrators using Lyapunov-based homogeneous controllers

Mohamed HarmoucheActility, Paris, France
,
Salah LaghroucheOPERA, UTBM, Université Bourgogne Franche-Comté, Belfort, FranceCorrespondence[email protected]
,
Yacine ChitourL2S, Universite Paris XI, CNRS, Gif-sur-Yvette, France
&
Mustapha HamerlainCDTA, Algiers, Algeria
Pages 2631-2640 | Received 22 Sep 2015, Accepted 15 Nov 2016, Published online: 07 Dec 2016

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Konstantin Zimenko, Andrey Polyakov, Denis Efimov & Wilfrid Perruquetti. (2020) On simple scheme of finite/fixed-time control design. International Journal of Control 93:6, pages 1353-1361.
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Articles from other publishers (24)

Shang Shi, Guosheng Zhang, Yinlong Hu & Huifang Min. (2024) Fixed-time second-order sliding mode control for uncertain nonlinear systems subject to non-vanishing mismatched terms. Transactions of the Institute of Measurement and Control.
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Siyuan Wang, Sandeep Kumar Soni, Gang Zheng & Driss Boutat. (2023) Application-Oriented Homogeneous Control Protocol Design for Multi-Agent Systems Under Input Constraints. Guidance, Navigation and Control 03:03.
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Chaker Jammazi, Mohamed Boutayeb & Karima Saidi. (2023) On the fixed-time extinction based nonlinear control and systems decomposition: applications to bilinear systems. Chaos, Solitons & Fractals 174, pages 113893.
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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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Adam Jbara, Arie Levant & Avi Hanan. (2020) Filtering homogeneous observers in control of integrator chains. International Journal of Robust and Nonlinear Control 31:9, pages 3658-3685.
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Salah Laghrouche, Mohamed Harmouche, Yacine Chitour, Hussein Obeid & Leonid M. Fridman. (2021) Barrier function-based adaptive higher order sliding mode controllers. Automatica 123, pages 109355.
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Qinghua Meng, Chunjiang Qian, Zong-Yao Sun & Chih-Chiang Chen. (2021) A homogeneous domination output feedback control method for active suspension of intelligent electric vehicle. Nonlinear Dynamics 103:2, pages 1627-1644.
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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 .
Shang Shi, Jason Gu, Shengyuan Xu & Huifang Min. (2020) Globally Fixed-Time High-Order Sliding Mode Control for New Sliding Mode Systems Subject to Mismatched Terms and Its Application. IEEE Transactions on Industrial Electronics 67:12, pages 10776-10786.
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Konstantin Zimenko, Andrey Polyakov, Denis Efimov & Wilfrid Perruquetti. (2020) Robust Feedback Stabilization of Linear MIMO Systems Using Generalized Homogenization. IEEE Transactions on Automatic Control 65:12, pages 5429-5436.
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Shang Shi, Huifang Min, Yinlong Hu, Yonghui Sun & Bing Wang. (2020) A novel hybrid scheme for fixed-time SOSM control of nonlinear uncertain systems subject to mismatched terms. Applied Mathematics and Computation 386, pages 125511.
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Jiahao Yuan, Shihong Ding & Keqi Mei. (2020) Fixed-time SOSM controller design with output constraint. Nonlinear Dynamics 102:3, pages 1567-1583.
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Arie Levant & Miki Livne. (2020) Robust exact filtering differentiators. European Journal of Control 55, pages 33-44.
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Shang Shi, Jason Gu, Shengyuan Xu & Huifang Min. (2020) Variable-Gain Second-Order Sliding Mode Controller With Globally Fixed-Time Stability Guarantees. IEEE Transactions on Circuits and Systems II: Express Briefs 67:8, pages 1414-1418.
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Boyan Jiang, Chuanjiang Li, Shixi Hou & Guangfu Ma. (2020) Fixed‐time attitude tracking control for spacecraft based on adding power integrator technique. International Journal of Robust and Nonlinear Control 30:6, pages 2515-2532.
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Yacine Chitour, Rosane Ushirobira & Hassan Bouhemou. (2020) Stabilization for a Perturbed Chain of Integrators in Prescribed Time. SIAM Journal on Control and Optimization 58:2, pages 1022-1048.
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Avi Hanan, Adam Jbara & Arie Levant. (2020) Homogeneous Output-Feedback Control. IFAC-PapersOnLine 53:2, pages 5081-5086.
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Avi Hanan, Adam Jbara & Arie Levant. 2020. Variable-Structure Systems and Sliding-Mode Control. Variable-Structure Systems and Sliding-Mode Control 3 28 .
Arie Levant. (2019) Homogeneous filtering and differentiation based on sliding modes. Homogeneous filtering and differentiation based on sliding modes.
Yacine Chitour & Rosane Ushirobira. (2019) Stabilization of a perturbed chain of integrators in prescribed time. Stabilization of a perturbed chain of integrators in prescribed time.
Roger Miranda-Colorado. (2019) Finite-time sliding mode controller for perturbed second-order systems. ISA Transactions 95, pages 82-92.
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Ratiba Fellag, Mustapha Hamerlain, Salah Laghrouche, Mohamed Guiatni & Noura Achour. (2019) Homogeneous Finite Time Higher Order Sliding Mode Control Applied to an Upper Limb Exoskeleton Robot. Homogeneous Finite Time Higher Order Sliding Mode Control Applied to an Upper Limb Exoskeleton Robot.
Francisco Lopez‐Ramirez, Denis Efimov, Andrey Polyakov & Wilfrid Perruquetti. (2018) Fixed‐time output stabilization and fixed‐time estimation of a chain of integrators. International Journal of Robust and Nonlinear Control 28:16, pages 4647-4665.
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Arie Levant. (2017) Non-Lyapunov homogeneous SISO control design. Non-Lyapunov homogeneous SISO control design.

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