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1

Lee, Hoon, Vadim I. Utkin, and Andrey Malinin. "Chattering reduction using multiphase sliding mode control." International Journal of Control 82, no. 9 (2009): 1720–37. http://dx.doi.org/10.1080/00207170902725607.

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2

Wang, Nengmou, and Hojjat Adeli. "Algorithms for chattering reduction in system control." Journal of the Franklin Institute 349, no. 8 (2012): 2687–703. http://dx.doi.org/10.1016/j.jfranklin.2012.06.001.

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Somaguddu Ningappa, Sridhara, Siddesh Kondapur Basavarajan, Sudharashan Mungasavalli Katappa, Sandeep Velur Ramareddy, and Lavakumar Tavane Basavarajappa. "Chattering reduction in step down converter using Robust reaching law." Bulletin of Electrical Engineering and Informatics 11, no. 3 (2022): 1735–41. http://dx.doi.org/10.11591/eei.v11i3.3790.

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The proposed robust reaching law for sliding mode control is used for chattering suppression, minimization of steady state error and reaching speed kept fast. With fine tuning parameters of robust reaching law, the system state reaches the sliding mode at the earliest. The mathematical analysis of the proposed reaching law is verifed. In one hand, they guarantee the system states reaches the sliding surface quickly and remain on it, in another way it deteriorate the chattering effectively, even unmatched certainties and disturbances. Such that the system response can better realize the unifica
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4

Sridhara, Somaguddu Ningappa, Kondapur Basavarajan Siddesh, Mungasavalli Katappa Sudharashan, Velur Ramareddy Sandeep, and Tavane Basavarajappa Lavakumar. "Chattering reduction in step down converter using robust reaching law." Bulletin of Electrical Engineering and Informatics 11, no. 3 (2022): 1735~1741. https://doi.org/10.11591/eei.v11i3.3790.

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The proposed robust reaching law for sliding mode control is used for chattering suppression, minimization of steady state error and reaching speed kept fast. With fine tuning parameters of robust reaching law, the system state reaches the sliding mode at the earliest. The mathematical analysis of the proposed reaching law is verifed. In one hand, they guarantee the system states reaches the sliding surface quickly and remain on it, in another way it deteriorate the chattering effectively, even unmatched certainties and disturbances. Such that the system response can better realize the unifica
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5

Wang, Qi, Akio Namiki, Abner Asignacion, Ziran Li, and Satoshi Suzuki. "Chattering Reduction of Sliding Mode Control for Quadrotor UAVs Based on Reinforcement Learning." Drones 7, no. 7 (2023): 420. http://dx.doi.org/10.3390/drones7070420.

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Sliding mode control, an algorithm known for its stability and robustness, has been widely used in designing robot controllers. Such controllers inevitably exhibit chattering; numerous methods have been proposed to deal with this problem in the past decade. However, in most scenarios, ensuring that the specified form and the parameters selected are optimal for the system is challenging. In this work, the reinforcement-learning method is adopted to explore the optimal nonlinear function to reduce chattering. Based on a conventional reference model for sliding mode control, the network output di
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6

Yong, Feng, Li Tao, and An Chengquan. "Chattering Reduction in Design of Variable Structure Systems *." IFAC Proceedings Volumes 31, no. 15 (1998): 195–200. http://dx.doi.org/10.1016/s1474-6670(17)40552-0.

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Curk, Boris, Karel Jezernik, Jože Harnik, and Asif Šabanović. "Chattering Reduction in VSC Systems of Robotic Manipulators." IFAC Proceedings Volumes 29, no. 1 (1996): 2377–82. http://dx.doi.org/10.1016/s1474-6670(17)58029-5.

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8

Taha,, E. Z., G. S. Happawana,, and Y. Hurmuzlu. "Quantitative Feedback Theory (QFT) for Chattering Reduction and Improved Tracking in Sliding Mode Control (SMC)." Journal of Dynamic Systems, Measurement, and Control 125, no. 4 (2003): 665–69. http://dx.doi.org/10.1115/1.1636780.

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Sliding mode control (SMC) is a robust control technique with chattering as a major drawback. Chattering is undesirable because it can excite unmodeled high-frequency dynamics of the system. One way to reduce chattering is to introduce a boundary layer around the sliding surface while keeping the boundary layer attractive. Introduction of the boundary layer, however, causes the system response to oscillate around the sliding manifold. These oscillations, in turn, may lead to undesirable tracking errors. In this paper, we propose a quantitative feedback theory (QFT) controller (a low pass filte
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9

Álvarez Rodríguez, Sergio. "Robustness vs Chattering-effect study for the Sliding Mode Control." Nova Scientia 11, no. 23 (2019): 65–86. http://dx.doi.org/10.21640/ns.v11i23.1972.

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In Sliding Modes control literature, a popular paradigm says that the so called “chattering-effect” (undesirable mechanical vibrations on the plant under control) can be reduced or even removed at all without affecting the control robustness. Nevertheless, results of practical implementations support that this is not necessarily true. In this work, the actual behaviour of a class of high order Sliding Modes used as the control law for a Multiple-Input Multiple-Output system is presented, where the real performance of system robustness is studied when the chattering-effect change in magnitude.
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10

Mehrjerdi, H., and M. Saad. "Chattering reduction on the dynamic tracking control of a nonholonomic mobile robot using exponential sliding mode." Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 225, no. 7 (2011): 875–86. http://dx.doi.org/10.1177/2041304110394566.

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This paper considers the problem of improving chattering reduction and trajectory tracking along a desired trajectory for a mobile robot. It is proposed that exponential sliding mode control is an effective solution to reduce chattering for the trajectory tracking of a nonholonomic mobile robot. Compared to conventional and second-order sliding modes, the developed sliding mode control reduces chattering and delivers a high dynamic tracking performance in a steady state mode. The developed algorithm instructs the robot to keep moving continuously on the desired trajectory while reducing tracki
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11

Kawamura, A., H. Itoh, and K. Sakamoto. "Chattering reduction of disturbance observer based sliding mode control." IEEE Transactions on Industry Applications 30, no. 2 (1994): 456–61. http://dx.doi.org/10.1109/28.287509.

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12

Marcos-Andrade, David, Francisco Beltran-Carbajal, Ivan Rivas-Cambero, Hugo Yañez-Badillo, Antonio Favela-Contreras, and Julio C. Rosas-Caro. "Sliding Mode Speed Control in Synchronous Motors for Agriculture Machinery: A Chattering Suppression Approach." Agriculture 14, no. 5 (2024): 737. http://dx.doi.org/10.3390/agriculture14050737.

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Synchronous motors have extended their presence in different applications, specifically in high-demand environments such as agronomy. These uses need advanced and better control strategies to improve energy efficiency. Within this context, sliding mode control has demonstrated effectiveness in electric machine control due to its advantages in robustness and quick adaptation to uncertain dynamic system disturbances. Nevertheless, this control technique presents the undesirable chattering phenomenon due to the discontinuous control action. This paper introduces a novel speed integral control sch
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13

Huang, Shuang, Xin Wu, and Peixing Li. "Vibration Reduction of the Nonlinearly Tufted Carpet Yarn by a Modified Sliding Mode Control Method." Shock and Vibration 2019 (April 28, 2019): 1–10. http://dx.doi.org/10.1155/2019/5075983.

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The yarn vibration causes the yarn tension value to fluctuate, causing a change in the amount of yarn feed, thus causing a deviation of the carpet pile height from the predetermined value. To solve this problem, the sliding mode control algorithm is used to design the sliding mode function and the sliding mode control law. And four variables in the yarn vibration system are controlled by the MATLAB software. For solving the chattering problem of the control law, the sliding mode control law is improved. The fuzzy sliding mode control algorithm based on the quasisliding mode is adopted. The res
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14

Yue, Xiaohui, Xingling Shao, and Jie Li. "Prescribed chattering reduction control for quadrotors using aperiodic signal updating." Applied Mathematics and Computation 405 (September 2021): 126264. http://dx.doi.org/10.1016/j.amc.2021.126264.

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15

Chen, Chi-Che, and Min-Shin Chen. "A New Design for Chattering Reduction in Sliding Mode Control." IFAC Proceedings Volumes 41, no. 2 (2008): 9877–81. http://dx.doi.org/10.3182/20080706-5-kr-1001.01671.

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Seo, Sam-Jun, Dong-Won Kim, and Gwi-Tae Park. "Design of Adaptive Fuzzy Sliding Mode Controller for Chattering Reduction." Journal of Korean Institute of Intelligent Systems 14, no. 6 (2004): 752–58. http://dx.doi.org/10.5391/jkiis.2004.14.6.752.

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17

Sarif, Nira Mawangi, Rafidah Ngadengon, Herdawatie Abdul Kadir, and Mohd Hafiz A. Jalil. "Terminal sliding mode control on autonomous underwater vehicle in diving motion control." Indonesian Journal of Electrical Engineering and Computer Science 20, no. 2 (2020): 798–804. https://doi.org/10.11591/ijeecs.v20.i2.pp798-804.

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In this study, mechanism for reducing chattering in discrete conventional Sliding Mode Controller (DSMC) for Autonomous Underwater Vehicle (AUV) was designed in discrete time domain. The combination of reaching law approach and discrete Terminal Sliding Mode Control (DTSMC) scheme was employed to alleviate chattering effect caused by Quasi Sliding Mode (QSM). First, 6 DOF NPS AUV II equation of motion is linearized to diving mode subsystem. Second, linear sliding surface in discrete time domain is designed and Reaching Law Based (RLB) is employed to the control law. Thirdly, discrete nonlinear
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18

Cheng, Ning Bo, Li Wen Guan, Li Ping Wang, and Jian Han. "Chattering Reduction of Sliding Mode Control by Adopting Nonlinear Saturation Function." Advanced Materials Research 143-144 (October 2010): 53–61. http://dx.doi.org/10.4028/www.scientific.net/amr.143-144.53.

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This paper proposes a simple method dealing with chattering phenomenon of sliding mode control. Instead of using a linear function to smooth the discontinuous control when the system is within the boundary layer, the controller adopts a smooth nonlinear function which we call a nonlinear saturation function (nsat function). Compared with the conventional linear saturation function (sat function), the nsat function can be constructed arbitrarily and shall satisfy eight conditions. Seven of the conditions are used to get a better effect in reducing chattering and one is used to keep a fast respo
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19

Sun, Pengran, and Xiangyu Li. "State feedback dynamic sliding mode control of T-S fuzzy descriptor system based on super-twisting algorithm." Journal of Physics: Conference Series 2975, no. 1 (2025): 012022. https://doi.org/10.1088/1742-6596/2975/1/012022.

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Abstract The paper proposes a dynamic sliding mode control method based on the multivariable super-twisting algorithm for T-S fuzzy descriptor systems. Existing sliding mode control methods have significant limitations and still face chattering issues. The approach utilized in this paper fully leverages the advantages of the super-twisting algorithm, effectively reducing chattering during the control process and enhancing the system’s response speed and control accuracy. The reduction of chattering not only improves the control performance but also extends the system’s lifespan. Additionally,
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20

Happyanto, Dedid Cahya, and Angga Wahyu Aditya. "Chattering reduction effect on power efficiency of IFOC based induction motor." JURNAL INFOTEL 14, no. 2 (2022): 154–60. http://dx.doi.org/10.20895/infotel.v14i2.753.

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Nowadays, the strategies to control Induction Motor (IM) is growing fast. The vector control strategies give better performance than the scalar control to control IM. IFOC is one of the vector control strategies which more realistic to apply in industry, military, and transportation. However, IFOC requires Sliding Mode Control (SMC) with the Lyapunov function to ensure robustness and stability. The first-order SMC or ordinary SMC uses boundary layers technique such as the saturation function and the tangent-hyperbolic function to overcome the chattering phenomenon. The performance of boundary
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21

Cibiraj, N., and M. Varatharajan. "Chattering reduction in sliding mode control of quadcopters using neural networks." Energy Procedia 117 (June 2017): 885–92. http://dx.doi.org/10.1016/j.egypro.2017.05.207.

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22

Ching-Yei Chung, S., and Chun-Liang Lin. "A transformed Lure problem for sliding mode control and chattering reduction." IEEE Transactions on Automatic Control 44, no. 3 (1999): 563–68. http://dx.doi.org/10.1109/9.751351.

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23

Wang, Jiandong, and Tongwen Chen. "Online reduction of chattering alarms due to random noise and oscillation." IFAC Proceedings Volumes 47, no. 3 (2014): 10604–9. http://dx.doi.org/10.3182/20140824-6-za-1003.00114.

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Chen, Min-Shin, Chia-Hung Chen, and Fu-Yun Yang. "An LTR-observer-based dynamic sliding mode control for chattering reduction." Automatica 43, no. 6 (2007): 1111–16. http://dx.doi.org/10.1016/j.automatica.2006.12.001.

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Adamiak, Katarzyna. "Chattering-Free Reference Sliding Variable-Based SMC." Mathematical Problems in Engineering 2020 (September 7, 2020): 1–16. http://dx.doi.org/10.1155/2020/3454090.

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The paper addresses the problem of chattering elimination in sliding mode control for sampled data dynamical systems and proposes an innovative control scheme. The key to the proposed control method is utilizing a pregenerated nonswitching type reference sliding variable profile to control the disturbed plant. As sampled data systems contain sample-and-hold devices in their input and output channels, we carry out a discrete time analysis. We consider the discretization effects on the controller in two aspects: the pace of convergence of the system and the ultimate band width. Consequently, in
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26

Vázquez, Carlos, Stanislav Aranovskiy, and Leonid B. Freidovich. "Input nonlinearity compensation and chattering reduction in a mobile hydraulic forestry crane." e & i Elektrotechnik und Informationstechnik 133, no. 6 (2016): 248–52. http://dx.doi.org/10.1007/s00502-016-0424-8.

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Al-Hadithi, Basil M., Agustín Jiménez, and Fernando Matía. "Variable Structure Control with Chattering Reduction of a Generalized T-S Model." Asian Journal of Control 15, no. 1 (2012): 155–68. http://dx.doi.org/10.1002/asjc.518.

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Achar, Abdelkader, Youcef Djeriri, Govind Singh Jethi, Salah Hanafi, Habib Benbouhenni, and Mohit Bajaj. "Variable Structure Control by Discontinuous versus Continuous Signal in a DFIG." E3S Web of Conferences 564 (2024): 04001. http://dx.doi.org/10.1051/e3sconf/202456404001.

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This paper introduces a control strategy for effectively managing the active and reactive power of a double-feed induction generator (DFIG) by employing a Variable Structure Control by Continuous Signal (VSC-CS). Unlike Variable Structure Control by Discontinuous Signal (VSC-DS), which suffers from the undesirable chattering effect caused by the abrupt control signal changes along the sliding surface, the proposed VSC-CS technique mitigates this issue while maintaining the robustness to DFIG parametric variations offered by the VSC-DS approach. To validate the effectiveness of the VSC-CS contr
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Nira, Mawangi Sarif, Ngadengon Rafidah, Abdul Kadir Herdawati, Hafiz A. Jalil Mohd, and Abidi Khalid. "A discrete-time terminal sliding mode controller design for an autonomous underwater vehicle." IAES International Journal of Robotics and Automation (IJRA) 10, no. 2 (2021): 104–13. https://doi.org/10.11591/ijra.v10i2.pp104-113.

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Autonomous underwater vehicle (AUV) are underwater robotic devices intended to explore hostiles territories in underwater domain. AUVs research gaining popularity among underwater research community because of its extensive applications and challenges to overcome unpredictable ocean behavior. The aim of this paper is to design discrete time terminal sliding mode control (DTSMC) reaching law-based employed to NPS AUV II purposely to improve the dynamic response of the closed loop system. This is accomplished by introducing a nonlinear component to sliding surface design in which the system stat
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Dao, Quy-Thinh, and Trung-Kien Le Tri Le Tri. "Discrete-Time Sliding Mode Control based on Exponential Reaching Law of a Pneumatic Artificial Muscle Actuator." Journal of Mechanical Engineering 19, no. 1 (2022): 221–37. http://dx.doi.org/10.24191/jmeche.v19i1.19698.

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In this paper, a discrete-time sliding mode control (DSMC) approach based on exponential reaching law (ERL) is developed for a pneumatic artificial muscle (PAM) system to achieve high tracking performance and chattering alleviation. The proposed controller is designed based on an exponential term that dynamically adapts to the variation of the switching function, thus guarantees finite steps convergence and chattering phenomenon reduction simultaneously. Moreover, the effectiveness of the designed controller and its stability on a dual actuator PAM-driven system is demonstrated under various c
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31

BARTOLINI, G., M. MARCHESONI, P. PISU, and E. USAI. "Chattering reduction and robust position control in induction motor with second-order VSS." International Journal of Systems Science 29, no. 1 (1998): 1–12. http://dx.doi.org/10.1080/00207729808929490.

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Min-Ho Park and Kyung-Seo Kim. "Chattering reduction in the position control of induction motor using the sliding mode." IEEE Transactions on Power Electronics 6, no. 3 (1991): 317–25. http://dx.doi.org/10.1109/63.85898.

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Hajatipour, M., and M. Farrokhi. "Chattering free with noise reduction in sliding-mode observers using frequency domain analysis." Journal of Process Control 20, no. 8 (2010): 912–21. http://dx.doi.org/10.1016/j.jprocont.2010.06.015.

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Wang, Jiandong, and Tongwen Chen. "An online method for detection and reduction of chattering alarms due to oscillation." Computers & Chemical Engineering 54 (July 2013): 140–50. http://dx.doi.org/10.1016/j.compchemeng.2013.03.025.

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Tseng, Ming-Lei, and Min-Shin Chen. "Chattering reduction of sliding mode control by low-pass filtering the control signal." Asian Journal of Control 12, no. 3 (2010): 392–98. http://dx.doi.org/10.1002/asjc.195.

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Prince and Byungun Yoon. "Super Twisted Sliding Mode Observer for Enhancing Ventilation Drive Performance." Applied Sciences 15, no. 9 (2025): 4927. https://doi.org/10.3390/app15094927.

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Ventilation systems are susceptible to errors, external disruptions, and nonlinear dynamics. Maintaining stable operation and regulating these dynamics require an efficient control system. This study focuses on the speed control of ventilation systems using a super twisted sliding mode observer (STSMO), which provides robust and efficient state estimation for sensorless control. Traditional SM control methods are resistant to parameter fluctuations and external disturbances but are affected by chattering, which degrades performance and can cause mechanical wear. The STSMO leverages the super t
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Choi, Ahyeong, Hyeongki Ahn, Yoonuh Chung, and Kwanho You. "Sliding Mode Control for Sensorless Speed Tracking of PMSM with Whale Optimization Algorithm and Extended Kalman Filter." Machines 11, no. 9 (2023): 851. http://dx.doi.org/10.3390/machines11090851.

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This paper proposes a sensorless speed control strategy for a permanent magnet synchronous motor system. Sliding mode control with a whale optimization algorithm was developed for robustness and chattering reduction. To estimate the position and speed of the rotor, an extended Kalman filter using Gaussian process regression was designed. In this controller, the whale optimization method adjusts the switching gain to minimize the tracking error. However, it provides chattering reduction and robustness, owing to the adaptive gain. The extended Kalman estimator calculates the rotor speed by using
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38

Goh, K. B., M. W. Dunnigan, and B. W. Williams. "Application of Robust Chattering-Reduction Sliding Mode Control Techniques for Position Control of a Vector-Controlled Induction Machine with Non-Linear Friction Dynamics." Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 219, no. 8 (2005): 577–90. http://dx.doi.org/10.1243/095965105x33635.

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Sliding mode control (SMC) methods possess several advantageous properties such as robustness against parameter variation, disturbance rejection, straightforward design, and are simple to implement. In this paper, a sliding mode control algorithm (which considers the non-linear friction dynamics) based on an equivalent control technique is designed and implemented on a non-linear induction machine system with non-linear friction dynamics such as Coulomb, windage, Stribeck, and static friction. The chattering phenomenon, which is inherent in the standard sliding mode algorithm, is discussed, as
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Ali, Kamran, Zhenwei Cao, Kamal Rsetam, and Zhihong Man. "Practical Adaptive Fast Terminal Sliding Mode Control for Servo Motors." Actuators 12, no. 12 (2023): 433. http://dx.doi.org/10.3390/act12120433.

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Position control of servo motor systems is a challenging task because of inevitable factors such as uncertainties, nonlinearities, parametric variations, and external perturbations. In this article, to alleviate the above issues, a practical adaptive fast terminal sliding mode control (PAFTSMC) is proposed for better tracking performance of the servo motor system by using a state observer and bidirectional adaptive law. First, a smooth-tangent-hyperbolic-function-based practical fast terminal sliding mode control (PFTSM) surface is designed to ensure not only fast finite time tracking error co
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Pham, Thanh-Binh, Ngoc-Tuan Cao Tran, Tan-No Nguyen, and Nguyen-Vu Truong. "Adaptive Full Order Sliding Mode Control for Electrical Motor Drive." E3S Web of Conferences 626 (2025): 02001. https://doi.org/10.1051/e3sconf/202562602001.

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This paper presents an adaptive full order sliding mode control scheme for electrical motor drive. Within this scheme, the discontinuous switching function is placed at the first derivative of the control signal and its associated gain is now dependent on the respective sliding mode manifold, yielding substantial reduction / elimination of the “chattering” phenomenon. The simulation study demonstrates the effectiveness of the proposed approach.
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Alqaisi, Walid, Yassine Kali, Jawhar Ghommam, Maarouf Saad, and Vahé Nerguizian. "Position and attitude tracking of uncertain quadrotor unmanned aerial vehicles based on non-singular terminal super-twisting algorithm." Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 234, no. 3 (2019): 396–408. http://dx.doi.org/10.1177/0959651819884465.

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This paper proposes an improved non-singular terminal super-twisting control for the problem of position and attitude tracking of quadrotor systems suffering from uncertainties and disturbances. The super-twisting algorithm is a second-order sliding mode known to be a very effective control used to provide high precision and less chattering for uncertain nonlinear electromechanical systems. The proposed method is based on a non-singular terminal sliding surface with new exponent that solves the problem of singularity. The design procedure and the stability analysis of the closed-loop system us
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42

Liang, Yanbing, Heng Shi, and Guangyuan Tian. "A reduced-order approach to the adaptive fuzzy sliding mode control of the constrained manipulator." Advances in Mechanical Engineering 10, no. 7 (2018): 168781401878679. http://dx.doi.org/10.1177/1687814018786791.

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A reduced-order approach to the adaptive fuzzy sliding mode control of the constrained manipulator is proposed. Based on the Udwadia–Kalaba motion constraint equation, the dynamic equation of the constrained manipulator with both ideal and non-ideal constraints is obtained. Considering the uncertainty of the terminal non-ideal constrained force and the chattering phenomenon of sliding mode control, the adaptive fuzzy and the sliding mode control method are combined to control the constrained manipulator. Because the system is constrained, the model order reduction method is innovatively used i
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Zhang, Taihao, Xuewei Li, Hongdong Gai, Yuheng Zhu, and Xiang Cheng. "Integrated Controller Design and Application for CNC Machine Tool Servo Systems Based on Model Reference Adaptive Control and Adaptive Sliding Mode Control." Sensors 23, no. 24 (2023): 9755. http://dx.doi.org/10.3390/s23249755.

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In order to reduce the effect of nonlinear friction and time-varying factors on the servo system of a computer numerical control (CNC) machine tool and improve its motion control accuracy, this paper uses an adaptive sliding mode control (ASMC) method based on model reference adaptive control (MRAC). The method adopts ASMC in the control outer loop and obtains the optimal control parameters by making the sliding mode control (SMC) law continuous and adaptively estimating the control parameters. At the same time, MRAC is used in the control inner loop to enhance the “invariance” of the controll
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Cherni, Faten, Yassin Bouteraa, Chokri Rekik, and Nabil Derbel. "Chattering Reduction on the Control Input of a Nonholonomic Mobile Robot Using Fuzzy Logic Controller." Journal of Engineering Science and Technology Review 2016, no. 3 (2016): 41–48. http://dx.doi.org/10.25103/jestr.093.07.

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Qin, Hongde, Hui Chen, Yanchao Sun, and Zheyuan Wu. "The Distributed Adaptive Finite-Time Chattering Reduction Containment Control for Multiple Ocean Bottom Flying Nodes." International Journal of Fuzzy Systems 21, no. 2 (2019): 607–19. http://dx.doi.org/10.1007/s40815-018-0592-2.

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Swathi, K. V. R., and G. V. Nagesh Kumar. "Design of intelligent controller for reduction of chattering phenomenon in robotic arm: A rapid prototyping." Computers & Electrical Engineering 74 (March 2019): 483–97. http://dx.doi.org/10.1016/j.compeleceng.2017.12.010.

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Bartolini, Giorgio, Elisabetta Punta, and Tullio Zolezzi. "Simplex sliding mode methods for the chattering reduction control of multi-input nonlinear uncertain systems." Automatica 45, no. 8 (2009): 1923–28. http://dx.doi.org/10.1016/j.automatica.2009.04.014.

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Bartolini, Giorgio, Elisabetta Punta, and Tullio Zolezzi. "Simplex sliding mode control of multi-input systems with chattering reduction and mono-directional actuators." Automatica 47, no. 11 (2011): 2433–37. http://dx.doi.org/10.1016/j.automatica.2011.08.011.

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Padmalatha, Pournami, and Susy Thomas. "Discrete time reaching law based variable structure control for fast reaching with reduced chattering." IAES International Journal of Robotics and Automation (IJRA) 9, no. 1 (2020): 51. http://dx.doi.org/10.11591/ijra.v9i1.pp51-61.

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Streszczenie:
In this paper, a variable structure control law is proposed for discrete time sliding mode control so as to reduce both reaching time and quasi sliding mode band reduction. This new law is composed of two different sliding variable dynamics; one to achieve fast reaching and the other to counter its effect on widening the quasi sliding mode band. This is accomplished<br />by introducing a boundary layer around the sliding surface about which the transformation of the sliding variable dynamics takes place. This provides the flexibility to choose the initial dynamics in such a way as to spe
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Padmalatha, Pournami, and Susy Thomas. "Discrete time reaching law based variable structure control for fast reaching with reduced chattering." IAES International Journal of Robotics and Automation (IJRA) 9, no. 1 (2020): 51–61. https://doi.org/10.11591/ijra.v9i1.pp51-61.

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Streszczenie:
In this paper, a variable structure control law is proposed for discrete time sliding mode control so as to reduce both reaching time and quasi sliding mode band reduction. This new law is composed of two different sliding variable dynamics; one to achieve fast reaching and the other to counter its effect on widening the quasi sliding mode band. This is accomplished by introducing a boundary layer around the sliding surface about which the transformation of the sliding variable dynamics takes place. This provides the flexibility to choose the initial dynamics
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