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Presenting of a novel high-order sliding mode control based on Lyapunov theory | ||
| AUT Journal of Mechanical Engineering | ||
| دوره 9، شماره 4، دی 2025، صفحه 403-412 اصل مقاله (1.27 M) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajme.2025.23879.6163 | ||
| نویسندگان | ||
| Masoud Abdolmohammadi؛ Habib Ahmadi* | ||
| Faculty of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran | ||
| چکیده | ||
| In this paper, we present a novel control scheme based on high-order sliding mode control (HOSM) for nonlinear systems under uncertainty. The stability and robustness of the proposed controller have been proven using Lyapunov’s method. The controller not only withstands uncertainties and disturbances but also significantly reduces the amplitude and frequency of chattering compared to existing algorithms. Furthermore, the suggested high-order sliding mode controller provides the ability to adjust the chattering frequency through its parameters. Initially, the sliding surface is introduced for second-order dynamics, followed by the necessary stability assumptions to ensure system stability. Then, a new second-order sliding mode controller is proposed, and its stability is verified through Lyapunov’s method. Detailed simulation results using a planar robot demonstrate the controller's performance, which is compared with existing algorithms. The results confirm that the new controller effectively manages uncertainties, ensuring stable system control. The proposed controller not only reduced the frequency of chattering but also decreased the steady-state error for a two-link robot. Simulation shows the decrease in root mean square error compared to twisting and super-twisting controllers. | ||
| کلیدواژهها | ||
| High-order Sliding Mode؛ Lyapunov Theory؛ Robust Control؛ Twisting Algorithm؛ Super Twisting Algorithm | ||
| مراجع | ||
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[1] V. Utkin, Variable structure systems with sliding modes, IEEE Transactions on Automatic control, 22(2) (1977) 212-222.
[2] L. Fridman, J. Moreno, R. Iriarte, Sliding modes after the first decade of the 21st century, Lecture notes in control and information sciences, 412 (2011) 113-149.
[3] E. Bailey, A. Arapostathis, Simple sliding mode control scheme applied to robot manipulators, International Journal of Control, 45(4) (1987) 1197-1209.
[4] H. Hashimoto, K. Maruyama, F. Harashima, A microprocessor-based robot manipulator control with sliding mode, IEEE Transactions on Industrial Electronics, (1) (1987) 11-18.
[5] S. Emelyanov, S. Korovin, L. Levantovskiy, A drift algorithm in control of uncertain processes, PROB. CONTROL INFO. THEORY., 15(6) (1986) 425-438.
[6] S. Emel'Yanov, S. Korovin, A. Levant, High-order sliding modes in control systems, Computational mathematics and modeling, 7(3) (1996) 294-318.
[7] M. Van, H.-J. Kang, K.-S. 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(17) (2014) 3240-3257.
[8] K.S. Yeung, Y.-P. Chen, Regulation of a one-link flexible robot arm using sliding-mode technique, International Journal of Control, 49(6) (1989) 1965-1978.
[9] C.Y. Su, T.P. Leung, A sliding mode controller with bound estimation for robot manipulators, IEEE Transactions on Robotics and Automation, 9(2) (1993) 208-214.
[10] S. Tzafestas, M. Raibert, C. Tzafestas, Robust sliding-mode control applied to a 5-link biped robot, Journal of Intelligent and Robotic Systems, 15(1) (1996) 67-133.
[11] M. Zeinali, L. Notash, Adaptive sliding mode control with uncertainty estimator for robot manipulators, Mechanism and Machine Theory, 45(1) (2010) 80-90.
[12] N. Yagiz, Y. Hacioglu, Fuzzy sliding modes with moving surface for the robust control of a planar robot, Journal of Vibration and Control, 11(7) (2005) 903-922.
[13] F. Piltan, S. Emamzadeh, Z. Hivand, F. Shahriyari, M. Mirazaei, PUMA-560 robot manipulator position sliding mode control methods using MATLAB/SIMULINK and their integration into graduate/undergraduate nonlinear control, robotics and MATLAB courses, International Journal of Robotics and Automation, 3(3) (2012) 106-150.
[14] F. Piltan, A. Gavahian, N. Sulaiman, M.H. Marhaban, R. Ramli, Novel Sliding Mode Controller for robot manipulator using FPGA, Journal of Advanced Science & Engineering Research, 1(1) (2011) 1-22.
[15] J. Sanchez, R. Fierro, Sliding mode control for robot formations, in: Proceedings of the 2003 IEEE International Symposium on Intelligent Control, IEEE, 2003, pp. 438-443.
[16] M.K. Khan, Design and application of second-order sliding mode control algorithms, (2003).
[17] A. Levant, Sliding order and sliding accuracy in sliding mode control, International Journal of Control, 58(6) (1993) 1247-1263.
[18] G. Bartolini, A robust control design for a class of uncertain non-linear systems featuring a second-order sliding mode, International Journal of Control, 72(4) (1999) 321-331.
[19] G. Bartolini, A. Ferrara, E. Punta, Multi-input second-order sliding-mode hybrid control of constrained manipulators, Dynamics and Control, 10 (2000) 277-296.
[20] G. Bartolini, A. Ferrara, E. Usai, Applications of a sub‐optimal discontinuous control algorithm for uncertain second order systems, International Journal of Robust and Nonlinear Control: IFAC‐Affiliated Journal, 7(4) (1997) 299-319.
[21] G. Bartolini, A. Ferrara, E. Usai, Chattering avoidance by second-order sliding mode control, IEEE Transactions on Automatic Control, 43(2) (1998) 241-246.
[22] S. Chegini, M. Yarahmadi, Quantum sliding mode control via error sliding surface, Journal of Vibration and Control, 24(22) (2018) 5345-5352.
[23] A. Ferrara, On multi-input backstepping design with second order sliding modes for a class of uncertain nonlinear systems, International Journal of Control, 71(5) (1998) 767-788.
[24] L.M. Capisani, A. Ferrara, L. Magnani, Second order sliding mode motion control of rigid robot manipulators, in, IEEE, pp. 3691-3696.
[25] L.M. Capisani, A. Ferrara, L. Magnani, Design and experimental validation of a second-order sliding-mode motion controller for robot manipulators, International Journal of Control, 82(2) (2009) 365-377.
[26] Y. Zhao, P. Huang, F. Zhang, Dynamic modeling and super-twisting sliding mode control for tethered space robot, Acta Astronautica, 143 (2018) 310-321.
[27] Y. Kali, M. Saad, K. Benjelloun, C. Khairallah, Super-twisting algorithm with time delay estimation for uncertain robot manipulators, Nonlinear Dynamics, 93(2) (2018) 557-569.
[28] S. Tayebi-Haghighi, F. Piltan, J.-M. Kim, Robust composite high-order super-twisting sliding mode control of robot manipulators, Robotics, 7(1) (2018) 13.
[29] A.S. Huang, E.A. Tannuri, P.C. de Mello, Development of a force actuator for hybrid model tests using super-twisting sliding mode control, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 43 (2021) 1-12.
[30] M. Rahmani, H. Komijani, M.H. Rahman, New sliding mode control of 2-DOF robot manipulator based on extended grey wolf optimizer, International Journal of Control, Automation and Systems, (2020) 1-9.
[31] D.A. Santos, J.F. Trentin, J.A. Ricardo Jr, L.G.P. Roéfero, T.R. Oliveira, Adaptive sliding mode attitude control for multirotor aerial vehicles with experimental evaluation, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 46(4) (2024) 194.
[32] T.N. Truong, A.T. Vo, H.-J. Kang, A backstepping global fast terminal sliding mode control for trajectory tracking control of industrial robotic manipulators, IEEE Access, 9 (2021) 31921-31931.
[33] S. Ahmed, H. Wang, Y. Tian, Adaptive fractional high‐order terminal sliding mode control for nonlinear robotic manipulator under alternating loads, Asian Journal of Control, 23(4) (2021) 1900-1910.
[34] S.K. Kommuri, S. Han, S. Lee, External torque estimation using higher order sliding-mode observer for robot manipulators, IEEE/ASME Transactions on Mechatronics, 27(1) (2021) 513-523.
[35] J. Gonzalez-Garcia, N.A. Narcizo-Nuci, L.G. Garcia-Valdovinos, T. Salgado-Jimenez, A. Gómez-Espinosa, E. Cuan-Urquizo, J.A.E. Cabello, Model-free high order sliding mode control with finite-time tracking for unmanned underwater vehicles, Applied Sciences, 11(4) (2021) 1836.
[36] J. Fei, H. Wang, Y. Fang, Novel neural network fractional-order sliding-mode control with application to active power filter, IEEE transactions on systems, man, and cybernetics: systems, 52(6) (2021) 3508-3518.
[37] S. Ding, Q. Hou, H. Wang, Disturbance-observer-based second-order sliding mode controller for speed control of PMSM drives, IEEE Transactions on Energy Conversion, 38(1) (2022) 100-110.
[38] J. Zhang, Y. Li, K. Xu, Adaptive Super-Twisting Sliding Mode Control for Robotic Manipulators with Unknown Dynamics, IEEE Transactions on Industrial Electronics, 70(5) (2023) 4125-4136.
[39] M. Wang, S. Chen, L. Liu, Finite-Time High-Order Sliding Mode Control for 2-DOF Robot Arms: Experimental Validation, Robotics and Autonomous Systems, 173 (2024) 104567.
[40] A. Khan, R. Patel, T. Sharma, Chattering-Free Sliding Mode Control for Underactuated Robots Using Barrier Functions, International Journal of Robust and Nonlinear Control, 33(15) (2023) 8912-8930.
[41] A. Levant, L. Alelishvili, Integral high-order sliding modes, IEEE Transactions on Automatic control, 52(7) (2007) 1278-1282.
[42] A.F. Filippov, Differential equations with discontinuous righthand sides: control systems, Springer Science & Business Media, 2013. | ||
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