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Journal articles on the topic 'Sliding mode Control'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Bartoszewicz, Andrzej, and Ron J. Patton. "Sliding Mode Control." International Journal of Adaptive Control and Signal Processing 21, no. 8-9 (2007): 635–37. http://dx.doi.org/10.1002/acs.996.

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2

Y.P., Patil. "Discrete Adaptive Model Following Sliding Mode Control Design for Improved Performance." Journal of Advanced Research in Dynamical and Control Systems 12, SP3 (2020): 557–69. http://dx.doi.org/10.5373/jardcs/v12sp3/20201293.

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3

Song, Chonghui. "Optimal Control Algorithm of Constrained Fuzzy System Integrating Sliding Mode Control and Model Predictive Control." Mathematical Problems in Engineering 2015 (2015): 1–13. http://dx.doi.org/10.1155/2015/897853.

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The sliding mode control and the model predictive control are connected by the value function of the optimal control problem for constrained fuzzy system. New conditions for the existence and stability of a sliding mode are proposed. Those conditions are more general conditions for the existence and stability of a sliding mode. When it is applied to the controller design, the design procedures are different from other sliding mode control (SMC) methods in that only the decay rate of the sliding mode motion is specified. The obtained controllers are state-feedback model predictive control (MPC)

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4

Pan, Shenghu, and Haitao Liu. "Synchronous Control of Two Motors Based on Improved Sliding Mode Control." Academic Journal of Science and Technology 14, no. 1 (2025): 236–42. https://doi.org/10.54097/x3fw4d46.

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With the technological development of the society, permanent magnet synchronous motors are used more and more widely, especially in the two-motor synchronous system. Aiming at the problems of response performance and anti-interference ability of the dual motor synchronous system, this paper proposes an improved sliding mode speed control controller. First, its mathematical model is established by analyzing the mechanical principle and working principle of the permanent magnet synchronous motor. On the basis of the traditional sliding mode controller, the sliding mode surface and convergence ra

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5

Zhao, Bingjie, Yang Liu, Danping Jia, et al. "Application of Fuzzy Sliding Mode Control in Voice Coil Motor Control System." Journal of Physics: Conference Series 2281, no. 1 (2022): 012009. http://dx.doi.org/10.1088/1742-6596/2281/1/012009.

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Abstract The requirements of modern industry on the response speed and accuracy of voice coil motors has been the gradual growth, and PID control algorithms have become increasingly unable to meet their requirements. The use of sliding mode control can speed up the response time of the motor, and it also can improve the response speed, overshoot and instability problems in some degree. However, the sliding mode control algorithm will bring jitter to the entire system. This paper combines fuzzy control and sliding mode control to adjust the parameters of the sliding mode control algorithm in re

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6

Hadi, Abdal-Razak Shehab, and Nadia Anees. "Robust Control for Buck dc to dc Converter by Using Double Integral Sliding Mode Control." NeuroQuantology 20, no. 1 (2022): 217–22. http://dx.doi.org/10.14704/nq.2022.20.1.nq22259.

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In this paper, the performance concerning the sliding mode control approach for DC/DC converters is explored. The step-down kind switch regulator buck converter is used in many devices that utilize batteries as a source of power, such as laptops, electric vehicles and cell phones. Recently, it has been employed in renewable power processing, whereas it can gain maximum production power with high performance. In this work, a buck converter is developed with a proportional-integral-derivative sliding mode control (PID SMC) and a double complete sliding mode control (DISMC), and response for appr

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7

Hirschorn, Ronald. "Sliding-Mode Control Variations." IEEE Transactions on Automatic Control 52, no. 3 (2007): 468–80. http://dx.doi.org/10.1109/tac.2007.892372.

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8

Bahraini, Masoud, Mohammad Javad Yazdanpanah, Shokufeh Vakili, and Mohammad Reza Jahed-Motlagh. "Sliding mode control revisited." Transactions of the Institute of Measurement and Control 42, no. 14 (2020): 2698–707. http://dx.doi.org/10.1177/0142331220924861.

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Controller design for nonlinear systems in its general form is complicated and an open problem. Finding a solution to this problem becomes more complicated when unwanted terms, such as disturbance, are taken into account. To provide a robust design for a subclass of nonlinear systems, sliding mode controllers (SMCs) are used. These controllers have a systematic design procedure and can reject bounded disturbances and at the same time guarantee stability. The guaranteed stability is achieved by separating system states into two parts and assuming that the input to state stability (ISS) conditio

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9

ZHOU, FENGXI, and D. GRANT FISHER. "Continuous sliding mode control." International Journal of Control 55, no. 2 (1992): 313–27. http://dx.doi.org/10.1080/00207179208934240.

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10

Roopaei, Mehdi, Faridoon Shabaninia, and Paknosh Karimaghaee. "Iterative sliding mode control." Nonlinear Analysis: Hybrid Systems 2, no. 2 (2008): 256–71. http://dx.doi.org/10.1016/j.nahs.2006.04.013.

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11

Efimov, Denis, Andrey Polyakov, Leonid Fridman, Wilfrid Perruquetti, and Jean-Pierre Richard. "Delayed sliding mode control." Automatica 64 (February 2016): 37–43. http://dx.doi.org/10.1016/j.automatica.2015.10.055.

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12

Hirschorn, R. M. "Singular sliding-mode control." IEEE Transactions on Automatic Control 46, no. 2 (2001): 276–85. http://dx.doi.org/10.1109/9.905692.

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13

Yang, J. N., J. C. Wu, A. M. Reinhorn, and M. Riley. "Control of Sliding-Isolated Buildings Using Sliding-Mode Control." Journal of Structural Engineering 122, no. 2 (1996): 179–86. http://dx.doi.org/10.1061/(asce)0733-9445(1996)122:2(179).

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14

Bian, Fengshuo, and Ying-Ren Chien. "PMSM Speed Control Based on Improved Adaptive Fractional-Order Sliding Mode Control." Symmetry 17, no. 5 (2025): 736. https://doi.org/10.3390/sym17050736.

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Addressing the problem of poor robustness and anti-interference ability in the permanent magnet synchronous motor (PMSM) speed control system, an adaptive fractional-order sliding mode controller based on a fractional-order sliding mode disturbance observer is proposed. Firstly, a mathematical model of a PMSM is established, which combines adaptive control with fractional order sliding mode control to effectively reduce the drawbacks of traditional integer order sliding mode control and improve the control accuracy of the system. At the same time, a new sliding mode approach law is used to rep

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15

Moura, Jairo Terra, Hakan Elmali, and Nejat Olgac. "Sliding Mode Control With Sliding Perturbation Observer." Journal of Dynamic Systems, Measurement, and Control 119, no. 4 (1997): 657–65. http://dx.doi.org/10.1115/1.2802375.

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This work introduces a new robust motion control algorithm using partial state feedback for a class of nonlinear systems in the presence of modelling uncertainties and external disturbances. The effects of these uncertainties are combined into a single quantity called perturbation. The major contribution of this work comes as the development and design of a robust observer for the state and the perturbation which is integrated into a Variable Structure Controller (VSC) structure. The proposed observer combines the procedures of Sliding Observers (Slotine et al, 1987) with the idea of Perturbat

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16

Chu, Victor K., and Masayoshi Tomizuka. "Sliding Mode Control with Nonlinear Sliding Surfaces." IFAC Proceedings Volumes 29, no. 1 (1996): 2877–82. http://dx.doi.org/10.1016/s1474-6670(17)58114-8.

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17

LEVANT, ARIE. "Sliding order and sliding accuracy in sliding mode control." International Journal of Control 58, no. 6 (1993): 1247–63. http://dx.doi.org/10.1080/00207179308923053.

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18

Itoh, T., T. Shimomura, and H. Okubo. "2B15 Semi-active Vibration Control of Smart Structures with Sliding Mode Control." Proceedings of the Symposium on the Motion and Vibration Control 2010 (2010): _2B15–1_—_2B15–11_. http://dx.doi.org/10.1299/jsmemovic.2010._2b15-1_.

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19

Laghrouche, Salah, Franck Plestan, and Alain Glumineau. "Higher order sliding mode control based on integral sliding mode." Automatica 43, no. 3 (2007): 531–37. http://dx.doi.org/10.1016/j.automatica.2006.09.017.

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20

Zhang, Jing Jun, Wei Sha Han, and Rui Zhen Gao. "Fuzzy Sliding Mode Control for Semi-Active Suspension System." Advanced Materials Research 268-270 (July 2011): 1595–600. http://dx.doi.org/10.4028/www.scientific.net/amr.268-270.1595.

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In Matlab/Simulink software semi-active suspension dynamic model of a quarter car is established and a sliding mode controller and a fuzzy sliding mode controller are designed. The fuzzy controller inputs are sliding mode switch function and its derivatives, and the output of absolute value is the sliding mode controller parameters. This fuzzy sliding mode controller chooses sliding mode controller and Skyhook as reference models and the simulation result shows that the stability of performance of the fuzzy sliding mode controller can effectively improve the driving smoothness and safety.

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21

Chen, Ta-Tau, and Sung-Chun Kuo. "FUZZY SIMPLEX-TYPE SLIDING-MODE CONTROL." Transactions of the Canadian Society for Mechanical Engineering 37, no. 3 (2013): 375–83. http://dx.doi.org/10.1139/tcsme-2013-0027.

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In this paper, a novel fuzzy simplex sliding-mode controller is proposed for controlling a multivariable nonlinear system. The fuzzy logic control (FLC) algorithm and simplex sliding-mode control (SSMC) theory are integrated to form the fuzzy simplex sliding mode control (FSSMC) scheme which improves the system states response and reduces system states chattering phenomenon. In this paper, at first, we introduce the principle of simplex method, and then develop fuzzy controls based on the simplex method. Finally, a numerical example is proposed to illustrate the advantages of the proposed cont

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22

Chegini, Somayeh, and Majid Yarahmadi. "Quantum sliding mode control via error sliding surface." Journal of Vibration and Control 24, no. 22 (2018): 5345–52. http://dx.doi.org/10.1177/1077546317752848.

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In this paper, a new quantum sliding mode control, for improving the performance of the two-level quantum sliding mode control systems with bounded uncertainties, is introduced. The presented quantum sliding surface is based on the error which occurs between the predetermined sliding mode and the system state. The control objective is to derive the system state to reach the sliding mode domain and then maintain its motion on it. For this purpose, we use the sliding mode control method and periodic projective measurements. A theorem for facilitating the presented method is proved. The simulated

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23

Y., P. Patil, and G. Patel H. "Robust Control Design using Discrete Sliding Mode Control for Higher-Order Uncertain Systems." International Journal of Engineering and Advanced Technology (IJEAT) 9, no. 3 (2020): 3055–63. https://doi.org/10.35940/ijeat.C6037.029320.

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This paper considers a tracking problem on discrete-time higher-order linear time-delay systems. The improved observer-model following sliding mode controller (OMF-SMC) is proposed. The combination uses a classical Luyenberger observer based controller to achieve predefined process output and sliding mode controller is added to assure the robustness despite of uncertainty and external disturbances. To show the effectiveness of proposed method, four error performance indices, maximum peak overshoot and settling time are considered rigorously. The simulations results on the non-oscillatory, mode

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24

Chen, Ta Tau, and Sung Chun Kuo. "Fuzzy Simplex-Type Sliding-Mode Control." Applied Mechanics and Materials 284-287 (January 2013): 2244–48. http://dx.doi.org/10.4028/www.scientific.net/amm.284-287.2244.

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In this paper, a novel fuzzy simplex sliding-mode controller is proposed for controlling a multivariable nonlinear system. Here, the fuzzy logic control (FLC) algorithm and simplex sliding-mode control (SSMC) theory are integrated to improve the system states response and to reduce system states chattering phenomenon of the controlled system for simplex control method. Hence, from this motivation yields the so-called fuzzy simplex sliding mode control (FSSMC) scheme. the fuzzy logic control algorithm and simplex sliding mode control algorithm is integrated to improve the system states response

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25

Fallaha, Charles, and Maarouf Saad. "Model-based sliding functions design for sliding mode robot control." International Journal of Modelling, Identification and Control 30, no. 1 (2018): 48. http://dx.doi.org/10.1504/ijmic.2018.10014595.

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26

Cheng, Xufeng, Chenyang Liu, Yuliang Zhang, and Dianlong Wang. "Analysis and Comparison of Sliding Mode Controller for the Boost Driver in LED Headlamps." Journal of Physics: Conference Series 2356, no. 1 (2022): 012009. http://dx.doi.org/10.1088/1742-6596/2356/1/012009.

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In this paper, the performance of several sliding mode control strategies used for the boost driver in LED headlamps is analysed and compared. At first the topology, control framework, and mathematical model of the boost LED driver is presented. Based on the mathematical model, a traditional differential sliding mode control law, a terminal sliding mode control law with finite convergence time, and a 2nd-order sliding mode control law with the Super-Twisting algorithm are derived and designed. Finally the simulation models of these sliding mode control laws are built. Simulation results show t

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27

Roy, Prasanta, Arindam Das, and Binoy Krishna Roy. "Cascaded fractional order sliding mode control for trajectory control of a ball and plate system." Transactions of the Institute of Measurement and Control 40, no. 3 (2016): 701–11. http://dx.doi.org/10.1177/0142331216663826.

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This paper presents a comparative study between a sliding mode controller and a fractional order sliding mode controller applied to the problem of trajectory control of a ball in a ball and plate system. The ball and plate system is a well-known benchmark to test advanced control strategies because of its multivariable nonlinear coupled dynamics, open loop instability, parameter uncertainty, and under actuation. A cascaded sliding mode controller is initially designed to mitigate the problem. Furthermore, to improve the performance, a cascaded fractional order sliding mode controller is propos

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28

Nugroho, Gesang, and Zahari Taha. "Helicopter Motion Control Using Model-Based Sliding Mode Controller." Journal of Advanced Computational Intelligence and Intelligent Informatics 12, no. 4 (2008): 342–47. http://dx.doi.org/10.20965/jaciii.2008.p0342.

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This paper describes a model-based controller design for helicopter using the sliding mode approach. The controller design assumes that only measured output are available and uses sliding mode observer to estimate all states of the system. The estimated states are then used to construct a model reference sliding mode control law. Simulation shows good performance for lateral velocity, longitudinal velocity, vertical velocity and yaw rate control.

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29

Xu, Yaru, Rong Liu, Jia Liu, and Jiancheng Zhang. "A novel constraint tracking control with sliding mode control for industrial robots." International Journal of Advanced Robotic Systems 18, no. 4 (2021): 172988142110297. http://dx.doi.org/10.1177/17298814211029778.

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As industrial robots are characterized by flexibility, load variation, and unknown interference, it is necessary to develop a control strategy with strong robustness and adaptability, fast convergence rate, and simple structure. Sliding mode control is a special method widely used to handle nonlinear robot control. However, the existing control law for sliding mode control has limitations in the chattering and convergence rate. The sliding mode manifold and reaching law are firstly discussed in this article. In the meanwhile, a proposed control law for sliding mode control combining linear sli

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30

Sharma, Manu, and S. P. Singh. "Fuzzy Sliding Mode Control of Plate Vibrations." Shock and Vibration 17, no. 1 (2010): 71–92. http://dx.doi.org/10.1155/2010/952928.

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In this paper, fuzzy logic is meshed with sliding mode control, in order to control vibrations of a cantilevered plate. Test plate is instrumented with a piezoelectric sensor patch and a piezoelectric actuator patch. Finite element method is used to obtain mathematical model of the test plate. A design approach of a sliding mode controller for linear systems with mismatched time-varying uncertainties is used in this paper. It is found that chattering around the sliding surface in the sliding mode control can be checked by the proposed fuzzy sliding mode control approach. With presented fuzzy s

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31

Li, Guiling, and Chen Peng. "Event-triggered-based adaptive sliding mode control for networked linear control systems." Transactions of the Institute of Measurement and Control 44, no. 10 (2022): 2024–36. http://dx.doi.org/10.1177/01423312211068935.

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This paper investigates the robust stabilization of the adaptive sliding mode control for a class of linear systems subjected to external disturbance via event-triggered communication (ETC) scheme. First, in order to reduce the bandwidth utilization, a discrete ETC scheme is proposed and the networked sliding mode function is derived using the ETC scheme. Based on the derived sliding mode function, a reduced-order networked sliding mode dynamics with communication delay is established. Second, by constructing a Lyapunov–Krasovskii functional (LKF), asymptotic stability and stabilization criter

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32

Midhat, Bashar Fateh, and Amjad Jaleel Humaidi. "Performance Comparison of Different Advanced Control Schemes for Glucose Level Control under Disturbing Meal." Al-Khwarizmi Engineering Journal 13, no. 3 (2017): 55–63. http://dx.doi.org/10.22153/kej.2017.03.003.

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Abstract In this work, diabetic glucose concentration level control under disturbing meal has been controlled using two set of advanced controllers. The first set is sliding mode controllers (classical and integral) and the second set is represented by optimal LQR controllers (classical and Min-, ax). Due to their characteristic features of disturbance rejection, both integral sliding mode controller and LQR Minmax controller are dedicated here for comparison. The Bergman minimal mathematical model was used to represent the dynamic behavior of a diabetic patient’s blood glucose concentra

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33

Aydin, Muhammet, and Oguz Yakut. "Real-time control of triglide robot using sliding mode control method." Industrial Robot: An International Journal 45, no. 1 (2018): 89–97. http://dx.doi.org/10.1108/ir-06-2017-0107.

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Purpose The purpose of the study is to design a three-dimensional (3D) triglide parallel robot with a different approach and to control the manufactured robot via sliding mode control method that has not been applied to the robot before. Design/methodology/approach The x, y and z coordinates of the end effector of the robot have been given as a reference. The x, y and z reference values are transformed as new reference values of the vertical movement of the robot on the endless screw by using the inverse kinematic equations of the robot. The control of the robot over these reference values is

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34

de Assis dos Santos Neves, Francisco, Roberto Feliciano Dias Filho, Felipe C. Camboim, Marcelo Cabral Cavalcanti, and Emilio J. Bueno. "Discrete-time Sliding Mode Direct Power Control For Threephase Rectifiers." Eletrônica de Potência 15, no. 2 (2010): 77–85. http://dx.doi.org/10.18618/rep.2010.2.077085.

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35

Wang, Jun-Cheng, and Ren He. "Hydraulic anti-lock braking control strategy of a vehicle based on a modified optimal sliding mode control method." Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 233, no. 12 (2018): 3185–98. http://dx.doi.org/10.1177/0954407018820445.

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The objective of this paper is to propose a modified optimal sliding mode control method for the hydraulic anti-lock braking system of a vehicle to achieve both robustness and optimal control performance. The longitudinal dynamic model of a vehicle, tyre model and hydraulic anti-lock braking system model are established, and the weakness of the common optimal sliding mode control method in designing the anti-lock braking system controller is analysed synthetically. The analyses form the basis for tracking an ideal slip ratio. A new modified optimal sliding mode controller is proposed to regula

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36

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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37

Tran, Van Тruc, and Anatoly M. Korikov. "Adaptive sliding mode control for brushless motor." Proceedings of Tomsk State University of Control Systems and Radioelectronics 27, no. 1 (2024): 72–78. http://dx.doi.org/10.21293/1818-0442-2024-27-1-72-78.

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Brushless DC motors offer many advantages over brushed DC motors. In this article, based on the constructed kinematic model of a brushless motor, a classical sliding mode of motor control is synthesized. A study of the sliding mode of motor control was carried out in the Matlab Simulink software environment and the shortcomings of the classical sliding controller were established. To eliminate these shortcomings, an adaptive sliding controller has been synthesized, consisting of a classical sliding controller and a PI controller. Simulation in the Matlab Simulink software environment proves th

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38

Hušek, Petr. "Adaptive sliding mode control with moving sliding surface." Applied Soft Computing 42 (May 2016): 178–83. http://dx.doi.org/10.1016/j.asoc.2016.01.009.

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39

Xiang, Ji, Hongye Su, Jian Chu, and Wei Wei. "SLIDING SURFACE MATCHED CONDITION IN SLIDING MODE CONTROL." Asian Journal of Control 9, no. 3 (2008): 345–51. http://dx.doi.org/10.1111/j.1934-6093.2007.tb00421.x.

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40

Lu, Yu-Sheng, and Chien-Wei Chiu. "Global sliding-mode control with generalized sliding dynamics." Asian Journal of Control 11, no. 4 (2009): 449–56. http://dx.doi.org/10.1002/asjc.125.

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41

Gao, Wei, Xiuping Chen, Haibo Du, and Song Bai. "Position Tracking Control for Permanent Magnet Linear Motor via Continuous-Time Fast Terminal Sliding Mode Control." Journal of Control Science and Engineering 2018 (November 14, 2018): 1–6. http://dx.doi.org/10.1155/2018/3813624.

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For the position tracking control problem of permanent magnet linear motor, an improved fast continuous-time nonsingular terminal sliding mode control algorithm based on terminal sliding mode control method is proposed. Specifically, first, for the second-order model of position error dynamic system, a new continuous-time fast terminal sliding surface is introduced and an improved continuous-time fast terminal sliding mode control law is proposed. Then rigorous theoretical analysis is provided to demonstrate the finite-time stability of the closed-loop system by using the Lyapunov function. Fi

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42

Dursun, Emre Hasan, and Akif Durdu. "Speed Control of a DC Motor with Variable Load Using Sliding Mode Control." International Journal of Computer and Electrical Engineering 8, no. 3 (2016): 219–26. http://dx.doi.org/10.17706/ijcee.2016.8.3.219-226.

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43

Sarmento Trindade, Filipe, Alfeu Joãozinho Sguarezi Filho, Rogério Vani Jacomini, and Ernesto Ruppert. "Sliding-mode Control For The Decoupled Power Control Of Doubly-fed Induction Generator." Eletrônica de Potência 19, no. 1 (2014): 8–14. http://dx.doi.org/10.18618/rep.2014.1.008014.

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44

Xiu, Chunbo, Fengnan Liu, and Guowei Xu. "General model and improved global sliding mode control of the four-rotor aircraft." Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 232, no. 4 (2017): 383–89. http://dx.doi.org/10.1177/0959651817708066.

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In order to improve the versatility of the control method of the four-rotor aircraft, a general mathematical model, the rectangular four-rotor aircraft, is modeled, and two special cases, square cross structure and square X structure, are deduced. Based on the conventional global sliding mode control, an improved global sliding mode control is proposed to control the position and the attitude of the four-rotor aircraft. The dynamic sliding mode surface of the improved global sliding mode control can evolve into the linear sliding mode surface in a limited time by changing the decay function of

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45

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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46

Jezernik, Karel, Miran Rodič, Riko šafarič, and Boris Curk. "Neural network sliding mode robot control." Robotica 15, no. 1 (1997): 23–30. http://dx.doi.org/10.1017/s0263574797000040.

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This paper develops a method for neural network control design with sliding modes in which robustness is inherent. Neural network control is formulated to become a class of variable structure (VSS) control. Sliding modes are used to determine best values for parameters in neural network learning rules, thereby robustness in learning control can be improved. A switching manifold is prescribed and the phase trajectory is demanded to satisfy both, the reaching condition and the sliding condition for sliding modes.

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47

Jonisha, Ms A. "Sliding Mode Control Of SMPS." IOSR Journal of Electrical and Electronics Engineering 4, no. 5 (2013): 1–11. http://dx.doi.org/10.9790/1676-0450111.

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48

Muñoz‐Vázquez, Aldo Jonathan, Guillermo Fernández‐Anaya, Fidel Meléndez‐Vázquez, and Juan Diego Sánchez Torres. "Generalised conformable sliding mode control." Mathematical Methods in the Applied Sciences 45, no. 3 (2021): 1687–99. http://dx.doi.org/10.1002/mma.7883.

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49

Sekher, Malik, Mohammed M'Saad, Mondher Farza, and O. Gehan. "Chemical process sliding mode control." International Journal of Modelling, Identification and Control 5, no. 4 (2008): 260. http://dx.doi.org/10.1504/ijmic.2008.023510.

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50

Shahi, Mahmoud, and Mehdi Fallah Kazemi. "Adaptive sliding mode control approach." Transactions of the Institute of Measurement and Control 39, no. 1 (2016): 86–95. http://dx.doi.org/10.1177/0142331215600777.

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