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The sliding mode approach is recognized as an efficient tool for treating the chattering behavior in hybrid systems. However, the amplitude of chattering, by its nature, is proportional to magnitude of discontinuous control. A possible…

Computational Engineering, Finance, and Science · Computer Science 2015-12-25 Ayman Aljarbouh , Benoit Caillaud

Robust finite-time feedback controller introduced for the second-order systems in [1] can be seen as a non-overshooting quasi-continuous sliding mode control. The paper proposes a regularization scheme to suppress inherent chattering due to…

Optimization and Control · Mathematics 2025-06-06 Michael Ruderman , Denis Efimov

The problem we focus on in this paper is to find a nearly optimal sliding mode controller of continuous-time nonlinear multiple-input multiple-output (MIMO) systems that can both reduce chattering and minimize the cost function, which is a…

Systems and Control · Electrical Eng. & Systems 2021-10-26 Lei Guo , Han Zhao , Yuan Song

In this work, a new SMS is proposed to achieve high tracking and suitable robustness. However, the chattering phenomenon should be regarded as the main drawback of the SMC. Therefore, a new compound control algorithm is used for reducing…

Systems and Control · Electrical Eng. & Systems 2020-12-15 Mehran Rahmani , Asif Al Zubayer Swapnil

Chatter is a self-excited vibration in milling that degrades surface quality and accelerates tool wear. This paper presents an adaptive process controller that suppresses chatter by leveraging machine learning-based online estimation of the…

Systems and Control · Electrical Eng. & Systems 2025-11-25 Yi Huang , Feng Han , Wenyi Liu , Jingang Yi , Yuebin Guo

In this paper, a continuous hybrid differentiator is presented based on a strong Lyapunov function. The differentiator design can not only reduce sufficiently chattering phenomenon of derivative estimation by introducing a perturbation…

Systems and Control · Computer Science 2011-09-27 Xinhua Wang , Hai Lin

Position and speed control of the torpedo present a real problem for the actuators because of the high level of the system non linearity and because of the external disturbances. The non linear systems control is based on several different…

Systems and Control · Computer Science 2012-02-16 Ahmed Rhif

This paper considers the chattering problem of sliding mode control while delay in robot manipulator caused chaos in such electromechanical systems. Fractional calculus as a powerful theorem to produce a novel sliding mode; which has a…

The recently introduced energy-saving extension of the sub-optimal sliding mode control allows for control-off phases during the convergence to second-order equilibrium. This way, it enables for a lower energy consumption compared to the…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Michael Ruderman

This paper proposes an efficient implementation for a continuous terminal algorithm (CTA). Although CTA is a continuous version of the famous twisting algorithm (TA), the conventional implementations of this CTA still suffer from…

Systems and Control · Computer Science 2019-05-03 Xiaogang Xiong , Wei Chen , Guohua Jiao , Shanhai Jin , Shyam Kamal

In this report it is shown that the implicit Euler time-discretization of some classes of switching systems with sliding modes, yields a very good stabilization of the trajectory and of its derivative on the sliding surface. Therefore the…

Numerical Analysis · Mathematics 2009-04-13 Vincent Acary , Bernard Brogliato

Professor Utkin in his discussion paper proposed an example showing that the amplitude of chattering caused by the presence of parasitic dynamics in systems governed by First-Order Sliding-Mode Control (FOSMC) is lower than the obtained…

Systems and Control · Computer Science 2017-05-30 Ulises Pérez-Ventura , Leonid Fridman

The precise motion control of a multi-degree of freedom~(DOF) robot manipulator is always challenging due to its nonlinear dynamics, disturbances, and uncertainties. Because most manipulators are controlled by digital signals, a novel…

Robotics · Computer Science 2021-02-09 Zhian Kuang , Xiang Zhang , Liting Sun , Huijun Gao , Masayoshi Tomizuka

Sliding mode control (SMC) is a robust and computationally efficient solution for tracking control problems of highly nonlinear systems with a great deal of uncertainty. High frequency oscillations due to chattering phenomena and…

Optimization and Control · Mathematics 2017-06-08 Mohammad Reza Amini , Mahdi Shahbakhti , Selina Pan , J. Karl Hedrick

In this paper, we study a sliding mode observer for a class of set-valued Lur'e systems subject to uncertainties. We show that our approach has obvious advantages than the existing Luenberger-like observers. Furthermore, we provide an…

Optimization and Control · Mathematics 2023-06-13 Samir Adly , Ba Khiet Le

This paper proposes a global iterative sliding mode control approach for high-precision contouring tasks of a flexure-linked biaxial gantry system. For such high-precision contouring tasks, it is the typical situation that the involved…

Systems and Control · Electrical Eng. & Systems 2022-01-28 Wenxin Wang , Jun Ma , Zilong Cheng , Xiaocong Li , Clarence W de Silva , Tong Heng Lee

The application of nonlinear control schemes to electro-hydraulic actuators often requires several alterations in the design of the controllers during their implementation. This is to overcome challenges that frequently arise in such…

Systems and Control · Electrical Eng. & Systems 2026-01-06 Alessio Dallabona , Patrik Schermann , Mogens Blanke , Dimitrios Papageorgiou

TRIUMF ISAC 1 tuning controllers operate using minimum seeking sliding mode controller to minimize the reflected power in their cavities. As with all mini-mum seeking algorithms, chatter present in the control-ler can degrade its…

Accelerator Physics · Physics 2022-10-13 Ken Fong , Ramona Leewe , Qiwen Zheng

Although machining chatter can be suppressed by the choice of stable cutting parameters through means of stability lobe diagram (SLD), surface roughness still remains due to the forced vibration, which limits surface quality, especially in…

Systems and Control · Electrical Eng. & Systems 2026-01-08 Woraphrut Kornmaneesang , Tsu-Chin Tsao , Niloufar Esfandi , Shyh-Leh Chen

Time-optimal control for high-order chain-of-integrator systems with full state constraints remains an open and challenging problem within the discipline of optimal control. The behavior of optimal control in high-order problems lacks…

Optimization and Control · Mathematics 2025-02-13 Yunan Wang , Chuxiong Hu , Zeyang Li , Yujie Lin , Shize Lin , Suqin He
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