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1

Tang, W. Q., and Y. L. Cai. "High-order sliding mode control design based on adaptive terminal sliding mode." International Journal of Robust and Nonlinear Control 23, no. 2 (2011): 149–66. http://dx.doi.org/10.1002/rnc.1820.

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2

Zhang, Quan Kun, Yu Yu, Shuai Mei Lian, Hong Hu, and Yu Jian Zhang. "High-Order Terminal Sliding Mode Control for Brushless Doubly-Fed Machines." Applied Mechanics and Materials 685 (October 2014): 384–88. http://dx.doi.org/10.4028/www.scientific.net/amm.685.384.

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A novel sliding-mode variable structure(SMVS) control strategy is proposed to reduce the ripples of flux and torque of brushless double-fed machines(BDFM) based on direct torque control system. In order to ensure the constant switching frequency for the inverter, two hysteresis regulators in the conventional direct torque control system system are substituted by the SMVS controllers of flux and torque,nonsingular terminal sliding modes are designed to make the motor power reach the given values in a finite period of time. and the high-order sliding mode method is adopted to estimate the chatte
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3

Levant, A. "Quasi-continuous high-order sliding-mode controllers." IEEE Transactions on Automatic Control 50, no. 11 (2005): 1812–16. http://dx.doi.org/10.1109/tac.2005.858646.

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4

Levant, Arie, and Alon Michael. "ADJUSTMENT OF HIGH-ORDER SLIDING-MODE CONTROLLERS." IFAC Proceedings Volumes 38, no. 1 (2005): 866–71. http://dx.doi.org/10.3182/20050703-6-cz-1902.00800.

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5

Levant, Arie, and Alon Michael. "Adjustment of high-order sliding-mode controllers." International Journal of Robust and Nonlinear Control 19, no. 15 (2009): 1657–72. http://dx.doi.org/10.1002/rnc.1397.

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6

Utkin, Vadim, Alex Poznyak, Yury Orlov, and Andrey Polyakov. "Conventional and high order sliding mode control." Journal of the Franklin Institute 357, no. 15 (2020): 10244–61. http://dx.doi.org/10.1016/j.jfranklin.2020.06.018.

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7

Wang, Liang, Yongzhi Sheng, and Xiangdong Liu. "A novel adaptive high-order sliding mode control based on integral sliding mode." International Journal of Control, Automation and Systems 12, no. 3 (2014): 459–72. http://dx.doi.org/10.1007/s12555-013-0361-9.

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8

Guo, Xiyi, Boyu Xu, Jianfeng Zhang, Muxuan Li, and Jiulong Long. "Research on High-order Sliding Mode Control Strategy for High Voltage Transmission Line Strip Operation Robot." Journal of Physics: Conference Series 2492, no. 1 (2023): 012028. http://dx.doi.org/10.1088/1742-6596/2492/1/012028.

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Abstract When performing robotic electrical work, the mechanical arm will come into contact with wires, bolts, and gold tools. In order to prevent the robot from being shocked or vibrating excessively during this process, as well as to accurately control the screwing bolt angle issue, the robot force control issue should be taken into account. Based on the theory of higher order sliding mode control for such non-linear systems, a differential observer-based higher order sliding mode control method is proposed in this study. In order to build a type of controller based on the differential obser
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9

Pan, Yaodong, Krishna Dev Kumar, and Guangjun Liu. "Reduced-order design of high-order sliding mode control system." International Journal of Robust and Nonlinear Control 21, no. 18 (2010): 2064–78. http://dx.doi.org/10.1002/rnc.1678.

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10

Oubehar, H., A. Ed-Dahhak, A. Selmani, et al. "High-Order Sliding Mode Control of Greenhouse Temperature." Indonesian Journal of Electrical Engineering and Computer Science 4, no. 3 (2016): 548. http://dx.doi.org/10.11591/ijeecs.v4.i3.pp548-554.

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<p>This paper deals with the design and implementation of the high order sliding mode controller to control temperature greenhouse. The control objective aims to ensure a favorable microclimate for the culture development and to minimize the production cost. We propose performing regulation for the greenhouse internal temperature based on the second order sliding mode technique known as Super Twisting Algorithm (STA). This technique is able to ensure robustness with respect to bounded external disturbances. A successful feasibility study of the proposed controller is applied to maintien
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11

Utkin, Vadim. "Discussion Aspects of High-Order Sliding Mode Control." IEEE Transactions on Automatic Control 61, no. 3 (2016): 829–33. http://dx.doi.org/10.1109/tac.2015.2450571.

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12

Levant, Arie. "Homogeneity approach to high-order sliding mode design." Automatica 41, no. 5 (2005): 823–30. http://dx.doi.org/10.1016/j.automatica.2004.11.029.

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13

Fang, Yunmei, Siyang Li, and Juntao Fei. "Adaptive Intelligent High-Order Sliding Mode Fractional Order Control for Harmonic Suppression." Fractal and Fractional 6, no. 9 (2022): 482. http://dx.doi.org/10.3390/fractalfract6090482.

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A second-order sliding mode control (SOSMC) with a fractional module using adaptive fuzzy controller is developed for an active power filter (APF). A second-order sliding surface using a fractional module which can decrease the discontinuities and chattering is designed to make the system work stably and simplify the design process. In addition, a fuzzy logic control is utilized to estimate the parameter uncertainties. Simulation and experimental discussion illustrated that the designed fractional SOSMC with adaptive fuzzy controller is valid in satisfactorily eliminating harmonic, showing goo
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14

Mien, Van, Hee-Jun Kang, and Kyoo-Sik Shin. "Adaptive fuzzy quasi-continuous high-order sliding mode controller for output feedback tracking control of robot manipulators." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 228, no. 1 (2013): 90–107. http://dx.doi.org/10.1177/0954406213490465.

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This article develops a new output feedback tracking control scheme for uncertain robot manipulators with only position measurements. Unlike the conventional sliding mode controller, a quasi-continuous second-order sliding mode controller (QC2C) is first designed. Although the QC2C produces continuous control and less chattering than conventional sliding mode and other high-order sliding mode controllers, chattering exists when the sliding manifold is defined by the equation [Formula: see text]. To alleviate the chattering, an adaptive fuzzy QC2C (FQC2C) is designed, in which the fuzzy system
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15

Huangfu, Yigeng, Ruiqing Ma, and Abdellatif Miraoui. "Avoidance High-Frequency Chattering Second-Order Sliding Mode Controller Design: Buck Converter in Wind Power System." International Journal of Antennas and Propagation 2012 (2012): 1–5. http://dx.doi.org/10.1155/2012/176830.

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This paper mainly discussed a method of high-frequency second-order sliding mode control for Buck converter in wind power systems. Because the wind energy of nature is always unpredictable and intermittent, the robust control such as sliding mode control is adopted in past literatures. In order to remove the high frequency chattering problem when the traditional sliding mode achieves convergence, the second order sliding mode algorithm is reviewed firstly. Meanwhile, the Buck converter taken as a step-down converter is usually adopted in wind power system, because of its simple structure and g
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16

Fraire, T. Espinoza, J. A. Sáenz, C. Sáenz, and F. Cortes Martinez. "MRAC with SMC Applied to Lateral Control of a Fixed-Wing MAV." International Journal of Robotics and Automation Technology 10 (December 18, 2023): 124–30. http://dx.doi.org/10.31875/2409-9694.2023.10.11.

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Abstract: This paper presents a PD control law with adaptive gains with the MIT (Massachusetts Institute Technology) rule with different sliding modes; that is, the MIT rule has been designed with is known in the literature with first order sliding mode, second order sliding mode and high order sliding mode (HOSM) to obtain a better gain scheduling taking advantage the sliding modes techniques-the PD control law with adaptive gains that is designed for the lateral dynamics of a fixed-wing MAV. To apply the methodology of the model reference adaptive control (MRAC), sometimes called model refer
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17

Wang, Xiaoyuan, Yaopeng Zhang, and Peng Gao. "Design and Analysis of Second-Order Sliding Mode Controller for Active Magnetic Bearing." Energies 13, no. 22 (2020): 5965. http://dx.doi.org/10.3390/en13225965.

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An active magnetic bearing (AMB) is a kind of high-performance bearing that uses controllable electromagnetic force to levitate the rotor. Its control performance directly affects the operation characteristics of high-speed motors and other electromechanical products. The magnetic bearing control model is nonlinear and difficult to control. Sliding mode control algorithm can be used in the magnetic bearing control system, but the traditional sliding mode control has the problem of high-frequency chattering, which affects the operation stability of magnetic bearings. Based on the second-order s
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18

Jiang, Y. A., T. Hesketh, and D. J. Clements. "High Order Sliding-mode Control of Uncertain Linear Systems." IFAC Proceedings Volumes 32, no. 2 (1999): 3629–34. http://dx.doi.org/10.1016/s1474-6670(17)56620-3.

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19

Cruz-Zavala, Emmanuel, and Jaime A. Moreno. "Homogeneous High Order Sliding Mode design: A Lyapunov approach." Automatica 80 (June 2017): 232–38. http://dx.doi.org/10.1016/j.automatica.2017.02.039.

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20

Rhif, Ahmed, NaceurBenHadj Braiek, and Zohra Kardous. "A High-Order Sliding Mode Observer: Torpedo Guidance Application." Journal of Engineering and Technology 2, no. 1 (2012): 13. http://dx.doi.org/10.4103/0976-8580.94231.

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21

Delprat, S., and A. Ferreira de Loza. "High order sliding mode control for hybrid vehicle stability." International Journal of Systems Science 45, no. 5 (2013): 1202–12. http://dx.doi.org/10.1080/00207721.2012.745241.

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22

Benallegue, A., A. Mokhtari, and L. Fridman. "High-order sliding-mode observer for a quadrotor UAV." International Journal of Robust and Nonlinear Control 18, no. 4-5 (2008): 427–40. http://dx.doi.org/10.1002/rnc.1225.

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23

Plestan, F., A. Glumineau, and S. Laghrouche. "A new algorithm for high-order sliding mode control." International Journal of Robust and Nonlinear Control 18, no. 4-5 (2008): 441–53. http://dx.doi.org/10.1002/rnc.1234.

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24

Ferreira de Loza, A., L. Fridman, L. T. Aguilar, and R. Iriarte. "High‐order sliding‐mode observer–based input‐output linearization." International Journal of Robust and Nonlinear Control 29, no. 10 (2019): 3183–99. http://dx.doi.org/10.1002/rnc.4556.

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25

Li, Zhenghao, and Ying Wang. "Double power sliding mode control of permanent magnet synchronous motor based on high-order sliding mode method." Journal of Physics: Conference Series 2427, no. 1 (2023): 012025. http://dx.doi.org/10.1088/1742-6596/2427/1/012025.

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Abstract In view of the shortcomings of traditional sliding mode control of permanent magnet synchronous motor (PMSM), such as slow convergence, serious speed overshoot and outstanding chattering, an improved dual power approach law is proposed. Combined with the equivalent control, a high-order sliding mode rotor is designed by using the second-order nonsingular terminal sliding surface, which greatly improves the dynamic and static performance of the motor and effectively suppresses chattering. The simulation results show that the convergence speed of the improved dual-power reaching law is
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26

Shao, Peng, Xiaozhou Tang, Bo Zheng, Dongyang Li, Shu Chen, and Huipin Lin. "High-Order Sliding Mode Magnetometer for Excitation Fault Detection of Elevator Traction Synchronous Motor under the Background of Industrial Engineering." Sustainability 15, no. 2 (2023): 1239. http://dx.doi.org/10.3390/su15021239.

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In order to solve the excitation problem of elevator traction permanent magnet synchronous motors (PMSMs), a new high-order sliding mode flux observer based on a hybrid reaching rate is proposed under the background of industrial engineering to detect loss of excitation faults in real time. Firstly, a new high-order sliding mode flux observer is designed to solve the problem of the traditional sliding mode observer not being able to accurately detect the loss of excitation fault when the load resistance changes. Then, based on the sliding mode variable structure equivalent control principle, a
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27

Alanis, Alma Y., Gustavo Munoz-Gomez, and Jorge Rivera. "Nested High Order Sliding Mode Controller with Back-EMF Sliding Mode Observer for a Brushless Direct Current Motor." Electronics 9, no. 6 (2020): 1041. http://dx.doi.org/10.3390/electronics9061041.

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This work presents a nested super-twisting second-order sliding mode speed controller for a brushless direct current motor with a high order sliding mode observer used for back electromotive force (back-EMF) estimation. Due to the trapezoidal nature of the back-EMF, a modified Park transformation is used in order to achieve proper field orientation. Such transformation requires information from the back-EMF that is not accessible. A second-order sliding mode observer is used to estimate the back electromotive forces needed in the modified transformation. Sliding mode control is known to be rob
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28

Hai, Le Xuan, Nguyen Van Thai, Vu Thi Thuy Nga, et al. "HIGH ORDER SLIDING MODE CONTROL WITH ANTI-SWAY BASED COMPENSATION ON ARTIFICIAL NEURAL NETWORK BY PSO ALGORITHM FOR OVERHEAD CRANE." Vietnam Journal of Science and Technology 55, no. 3 (2017): 347. http://dx.doi.org/10.15625/2525-2518/55/3/8617.

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This paper proposes a second order sliding mode controller combined with signal set calibrator for overhead crane tracking desired position and resisting disturbance. High order sliding mode controller ensures that the overhead crane tracks desired trajectory and resists disturbance. Neural network is trained by particle swarm optimization algorithm (PSO) to compensate anti-sway for load. The results on the computer simulation show that high order sliding mode controller with anti-sway compensation for overhead crane tracks desired trajectory and the swing of load that is smaller than high ord
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29

Zhang, Xin, Wenbo Xu, and Wenru Lu. "Fractional-Order Iterative Sliding Mode Control Based on the Neural Network for Manipulator." Mathematical Problems in Engineering 2021 (August 2, 2021): 1–12. http://dx.doi.org/10.1155/2021/9996719.

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This study aimed to improve the position tracking accuracy of the single joint of the manipulator when the manipulator model information is uncertain. The study is based on the theory of fractional calculus, radial basis function (RBF) neural network control, and iterative sliding mode control, and the RBF neural network fractional-order iterative sliding mode control strategy is proposed. First, the stability analysis of the proposed control strategy is carried out through the Lyapunov function. Second, taking the two-joint manipulator as an example, simulation comparison and analysis are car
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30

Phuc, Bui Duc Hong, Viet-Duc Phung, Sam-Sang You, and Ton Duc Do. "Fractional-order sliding mode control synthesis of supercavitating underwater vehicles." Journal of Vibration and Control 26, no. 21-22 (2020): 1909–19. http://dx.doi.org/10.1177/1077546320908412.

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A high-speed supercavitating vehicle is a future underwater vehicle which exploits the supercavitating propulsion technology providing a promising way to increase the vehicle speed. Robust control challenges include complex vehicle maneuvering dynamics caused by factors such as undesired switching, delayed state dependency, and nonlinearities. As effective and applicable controllers, a novel fractional-order sliding mode controller is proposed to robustly control the uncertain high-speed supercavitating vehicle system against external disturbances. The control scheme uses sliding mode control
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31

Rodríguez, A., J. De León, and L. Fridman. "Quasi-continuous high-order sliding-mode controllers for reduced-order chaos synchronization." International Journal of Non-Linear Mechanics 43, no. 9 (2008): 948–61. http://dx.doi.org/10.1016/j.ijnonlinmec.2008.07.007.

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32

Van, Mien, Hee-Jun Kang, and Kyoo-Sik Shin. "Novel quasi-continuous super-twisting high-order sliding mode controllers for output feedback tracking control of robot manipulators." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 228, no. 17 (2014): 3240–57. http://dx.doi.org/10.1177/0954406214526828.

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In this paper, a robust output feedback tracking control scheme for uncertain robot manipulators with only position measurements is investigated. First, a quasi-continuous second-order sliding mode (QC2S)-based exact differentiator and super-twisting second-order sliding mode (STW2S) controllers are designed to guarantee finite time convergence. Although the QC2S produces continuous control and less chattering than that of a conventional sliding mode controller and other high-order sliding mode controllers, a large amount of chattering exists when the sliding manifold is defined by the equatio
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33

González-García, Josué, Néstor Alejandro Narcizo-Nuci, Luis Govinda García-Valdovinos, et al. "Model-Free High Order Sliding Mode Control with Finite-Time Tracking for Unmanned Underwater Vehicles." Applied Sciences 11, no. 4 (2021): 1836. http://dx.doi.org/10.3390/app11041836.

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Several strategies to deal with the trajectory tracking problem of Unmanned Underwater Vehicles are encountered, from traditional controllers such as Proportional Integral Derivative (PID) or Lyapunov-based, to backstepping, sliding mode, and neural network approaches. However, most of them are model-based controllers where it is imperative to have an accurate knowledge of the vehicle hydrodynamic parameters. Despite some sliding mode and neural network-based controllers are reported as model-free, just a few of them consider a solution with finite-time convergence, which brings strong robustn
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34

Wang, Zhicheng, and Zhiyuan Li. "Research on PMSM control system based on high order sliding mode method." Journal of Physics: Conference Series 2425, no. 1 (2023): 012052. http://dx.doi.org/10.1088/1742-6596/2425/1/012052.

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Abstract A high-order sliding mode viewer using the stator current and rotor magnetic chain as state quantities is designed and implemented, which is based on the fourth-order state equation and can directly output the observed values of the rotor magnetic chain. To avoid the phase change of the magnetic chain due to the introduction of a low-pass filter, a vector equation of state filtering method is proposed to filter the dither signal through the magnetic chain equation by taking the observed deviation of the current as the sliding mode surface and inputting the equivalent control signal di
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35

Van, Mien, Hee-Jun Kang, and Kyoo-Sik Shin. "Backstepping quasi-continuous high-order sliding mode control for a Takagi–Sugeno fuzzy system with an application for a two-link robot control." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 228, no. 9 (2013): 1488–500. http://dx.doi.org/10.1177/0954406213508936.

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A new control scheme is proposed for motion tracking of a Takagi–Sugeno fuzzy system using the backstepping quasi-continuous high-order sliding mode (HOSM) control technique. First, a Takagi–Sugeno fuzzy model is used to represent the original second-order nonlinear system; most of the parameters for this model can be computed offline. Next, a conventional backstepping sliding mode control (BSMC) is designed to stabilize and guarantee the exact motion tracking for the Takagi–Sugeno fuzzy system. However, use of the conventional sliding mode control generates significant chattering. Therefore,
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36

Yongjian, Ning, Zhang Qian, Zhang Tiantian, Yang Ruilei, and Che Xueke. "Study of high-power breakdown accompanied by sliding discharge mode in a three-dimensional sliding arc plasma igniter." Journal of Physics: Conference Series 2704, no. 1 (2024): 012015. http://dx.doi.org/10.1088/1742-6596/2704/1/012015.

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Abstract In order to improve the ignition reliability of a small-thrust rocket engine, a three-dimensional sliding arc igniter discharge characteristic research experimental system was constructed. The work gas flow rate and excitation parameters were changed, the plasma discharge characteristic and spectral characteristic parameters were measured, and the characteristics of the igniter discharge modes were investigated. The influence of the excitation parameters on the discharge modes was explored, and the effect of the discharge modes on the ignition performance of the igniter was analyzed a
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37

SHI, Hong-Yu, and Yong FENG. "High-order Terminal Sliding Mode Flux Observer for Induction Motors." Acta Automatica Sinica 38, no. 2 (2012): 288–94. http://dx.doi.org/10.3724/sp.j.1004.2012.00288.

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38

Traoré, D., F. Plestan, A. Glumineau, and J. De Leon. "High order sliding mode control of a sensorless induction motor." IFAC Proceedings Volumes 41, no. 2 (2008): 6232–37. http://dx.doi.org/10.3182/20080706-5-kr-1001.01052.

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39

Shen, Xiaoning, Jianxing Liu, Wensheng Luo, et al. "High-Performance Second-Order Sliding Mode Control for NPC Converters." IEEE Transactions on Industrial Informatics 16, no. 8 (2020): 5345–56. http://dx.doi.org/10.1109/tii.2019.2960550.

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40

Abadi, Ali Soltani Sharif, and Pooyan Alinaghi Hosseinabadi. "Adaptive terminal sliding mode control of high-order nonlinear systems." International Journal of Automation and Control 13, no. 6 (2019): 668. http://dx.doi.org/10.1504/ijaac.2019.10022590.

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41

Hosseinabadi, Pooyan Alinaghi, and Ali Soltani Sharif Abadi. "Adaptive terminal sliding mode control of high-order nonlinear systems." International Journal of Automation and Control 13, no. 6 (2019): 668. http://dx.doi.org/10.1504/ijaac.2019.102670.

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42

Beltran, B., T. Ahmed-Ali, and M. Benbouzid. "High-Order Sliding-Mode Control of Variable-Speed Wind Turbines." IEEE Transactions on Industrial Electronics 56, no. 9 (2009): 3314–21. http://dx.doi.org/10.1109/tie.2008.2006949.

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43

Wang, Liang, Yongzhi Sheng, and Xiangdong Liu. "High-order sliding mode attitude controller design for reentry flight." Journal of Systems Engineering and Electronics 25, no. 5 (2014): 848–58. http://dx.doi.org/10.1109/jsee.2014.00098.

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44

Ianagui, André S. S., and Eduardo A. Tannuri. "High Order Sliding Mode Control and Observation for DP Systems." IFAC-PapersOnLine 51, no. 29 (2018): 110–15. http://dx.doi.org/10.1016/j.ifacol.2018.09.478.

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45

Benahdouga, Seddik, Djamal Boukhetala, and Farés Boudjema. "Decentralized high order sliding mode control of multimachine power systems." International Journal of Electrical Power & Energy Systems 43, no. 1 (2012): 1081–86. http://dx.doi.org/10.1016/j.ijepes.2012.06.018.

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46

de Loza, Alejandra Ferreira, Francisco J. Bejarano, and Leonid Fridman. "Unmatched uncertainties compensation based on high-order sliding mode observation." International Journal of Robust and Nonlinear Control 23, no. 7 (2012): 754–64. http://dx.doi.org/10.1002/rnc.2795.

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47

Pu, Cuiping, Yi Wu, Dongchen Dai, and Ruixin Li. "Mobile robot control based on high-order sliding mode differentiator." International Journal of Systems, Control and Communications 16, no. 3 (2025): 227–41. https://doi.org/10.1504/ijscc.2025.147365.

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48

Espinoza-Fraire, T., Armando Saenz, Isaac Gandarilla, and Wojciech Giernacki. "MRAS Using Lyapunov Theory with Sliding Modes for a Fixed-Wing MAV." Applied Sciences 14, no. 5 (2024): 2198. http://dx.doi.org/10.3390/app14052198.

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This work applies an adaptive PD controller based on MRAS (Model Reference Adaptive System) using Lyapunov theory with sliding mode theory to a Fixed-wing MAV (Mini Aerial Vehicle). The objective is to design different adjustment mechanisms to obtain a robust adaptive control law in the presence of unknown perturbation due to wind gusts. Four adjustment mechanisms applied to an adaptive PD controller are compared. The adjustment mechanisms are Lyapunov theory, Lyapunov theory with first-order sliding mode, Lyapunov theory with second-order sliding mode, and Lyapunov theory with high-order slid
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49

Rhif, Ahmed. "A High Order Sliding Mode Control with PID Sliding Surface: Simulation on a Torpedo." International Journal of Information Technology, Control and Automation 2, no. 1 (2012): 107–13. http://dx.doi.org/10.5121/ijitca.2012.2101.

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50

Zhao, Yan. "Adaptive Sliding Mode Control of Uncertain High-Order Nonholonomic Systems with Unknown Control Coefficients." Mathematical Problems in Engineering 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/427137.

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Annotation:
This paper investigates the global stabilization problem for a class of high-order nonholonomic systems with unknown control coefficients and uncertain nonlinearities. An adaptive sliding mode control (SMC) law based on a constructive manipulation is proposed by adding a power integrator technique. A switching control strategy is employed in the control scheme to overcome the uncontrollability problem associated with the nonholonomic systems. The designed sliding mode controller could guarantee the attractiveness of the sliding surfaceS=0and achieve the asymptotical convergence of the state as
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