Model-free super-twisting terminal sliding mode controller using sliding mode disturbance observer for n-DOF upper-limb rehabilitation exoskeleton with backlash hysteresis

References

• Abbaker, A. M. O., Wang, H. P., & Tian, Y. (2020). Robust model-free adaptive interval type-2 fuzzy sliding mode control for PEMFC system using disturbance observer. International Journal of Fuzzy Systems, 22(7), 2188–2203. https://doi.org/10.1007/s40815-020-00916-8
   Web of Science ®Google Scholar
• Abooee, A., Arefi, M., Sedghi, F., & Abootalebi, V. (2019). Robust nonlinear control schemes for finite-time tracking objective of a 5-DOF robotic exoskeleton. International Journal of Control, 92(9), 2178–2193. https://doi.org/10.1080/00207179.2018.1430379
   Web of Science ®Google Scholar
• Ahmed, S., Ahmed, A., Mansoor, I., Junejo, F., & Saeed, A. (2021). Output feedback adaptive fractional-order super-twisting sliding mode control of robotic manipulator. Iranian Journal of Science and Technology – Transactions of Electrical Engineering, 45, 335–347. https://doi.org/10.1007/s40998-020-00364-y
   Web of Science ®Google Scholar
• Ahmed, S., Wang, H. P., & Tian, Y. (2021). Adaptive high-order terminal sliding mode control based on time delay estimation for the robotic manipulators with backlash hysteresis. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 51(2), 1128–1137. https://doi.org/10.1109/TSMC.6221021
   Web of Science ®Google Scholar
• Armstrong, A., Johnson, A. W., & Alleyne, A. (2021). An improved approach to iterative learning control for uncertain systems. IEEE Transactions on Control Systems Technology, 29(2), 546–555. https://doi.org/10.1109/TCST.87
   Web of Science ®Google Scholar
• Arteaga-Perez, M. A. (2019). An alternative proof to the asymptotic stability of PID controllers for regulation of robot manipulators. IFAC Journal of Systems and Control, 9(30), 100066. https://doi.org/10.1016/j.ifacsc.2019.100066
   Google Scholar
• Bembli, S., Haddad, N. K., & Belghith, S. (2021). Stability study and robustness analysis of an exoskeleton-upper limb system. In 18th International Multi-Conference on Systems, Signals & Devices (SSD) (pp. 147-153).
   Google Scholar
• Cervantes, I., Garrido, R., Alvarez-Ramirez, J., & Martinez, A. (2004). Vision-based PID control of planar robots. IEEE/ASME Transactions on Mechatronics, 9(1), 132–136. https://doi.org/10.1109/TMECH.2004.823892
   Web of Science ®Google Scholar
• Chen, X., Li, Y., Ma, H., Tang, H., & Xie, Y. (2021). A novel variable exponential discrete time sliding mode reaching law. IEEE Transactions on Circuits and Systems II: Express Briefs, 68(7), 2518–2522. https://doi.org/10.1109/TCSII.2021.3051904
   Web of Science ®Google Scholar
• Fallaha, C., Saad, M., Ghommam, J., & Kali, Y. (2021). Sliding mode control with model-based switching functions applied on a 7-DOF exoskeleton arm. IEEE/ASME Transactions on Mechatronics, 26(1), 539–550. https://doi.org/10.1109/TMECH.2020.3040371
   Web of Science ®Google Scholar
• Fang, J., Tsai, J., Yan, J., & Guo, S. (2021). Robust sliding model control-based adaptive tracker for a class of nonlinear systems with input nonlinearities and uncertainties. Transactions of the Institute of Measurement and Control, 43(7), 1629–1639. https://doi.org/10.1177/0142331220976114
   Web of Science ®Google Scholar
• Fliess, M., & Join, C. (2013). Model-free control. International Journal of Control, 86(12), 2228–2252. https://doi.org/10.1080/00207179.2013.810345
   Web of Science ®Google Scholar
• Gao, W., & Hung, J. (1993). Variable structure control of nonlinear systems: A new approach. IEEE Transactions on Industrial Electronics, 40(1), 45–55. https://doi.org/10.1109/41.184820
   Web of Science ®Google Scholar
• Haddar, M., Bouslema, M., Caglar-Baslamisli, S., Chaari, F., & Haddar, M. (2022). Improving the ride comfort of full car model with a decoupling intelligent model free controller. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, https://doi.org/10.1177/09544070221121863.
   PubMed Web of Science ®Google Scholar
• Han, J. (2009). From PID to active disturbance rejection control. IEEE Transactions on Industrial Electronics, 56(3), 900–906. https://doi.org/10.1109/TIE.2008.2011621
   Web of Science ®Google Scholar
• Han, S., Wang, H. P., & Tian, Y. (2018). Model-free based adaptive nonsingular fast terminal sliding mode control with time-delay estimation for a 12 DOF multi-functional lower limb exoskeleton. Advances in Engineering Software, 119, 38–47. https://doi.org/10.1016/j.advengsoft.2018.01.004
   Web of Science ®Google Scholar
• He, D. X., Wang, H. P., & Tian, Y. (2022a). An α-variable model-free prescribed-time control for nonlinear system with uncertainties and disturbances. International Journal of Robust and Nonlinear Control, 32(9), 5673–5693. https://doi.org/10.1002/rnc.v32.9
   Web of Science ®Google Scholar
• He, D. X., Wang, H. P., & Tian, Y. (2022b). Fractional-order ultra-local model-based optimal model-free control for 7-DOF iReHave upper-limb exoskeleton. IEEE Transactions on Circuits and Systems. II, Express Briefs, 69(8), 3510–3514. https://doi.org/10.1109/TCSII.2022.3161659
   Web of Science ®Google Scholar
• He, W., Amoateng, D. O., Yang, C., & Gong, D. (2016). Adaptive neural network control of a robotic manipulator with unknown backlash-like hysteresis. IET Control Theory and Applications, 11(4), 567–575. https://doi.org/10.1049/cth2.v11.4
   Web of Science ®Google Scholar
• He, W., Meng, T., Zhang, S., Liu, J., Li, G., & Sun, C. (2019). Dual-loop adaptive iterative learning control for a Timoshenko beam with output constraint and input backlash. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 49(5), 1027–1038. https://doi.org/10.1109/TSMC.6221021
   Web of Science ®Google Scholar
• Herbin, P., & Pajor, M. (2021). Human-robot cooperative control system based on serial elastic actuator Bowden cable drive in ExoArm 7-DOF upper extremity exoskeleton. Mechanism and Machine Theory, 163(2), 104372. https://doi.org/10.1016/j.mechmachtheory.2021.104372
   Google Scholar
• Hou, Z., & Xiong, S. (2019). On model-free adaptive control and its stability analysis. IEEE Transactions on Automatic Control, 64(11), 4555–4569. https://doi.org/10.1109/TAC.9
   Web of Science ®Google Scholar
• Jin, M., Kang, S., Chang, P., & Lee, J. (2017). Robust control of robot manipulators using inclusive and enhanced time delay control. IEEE/ASME Transactions on Mechatronics, 22(5), 2141–2152. https://doi.org/10.1109/TMECH.2017.2718108
   Web of Science ®Google Scholar
• Junejo, A., Xu, W., Mu, C., Ismail, M., & Liu, Y. (2020). Adaptive speed control of PMSM drive system based a new sliding-mode reaching law. IEEE Transactions on Power Electronics, 35(11), 12110–12121. https://doi.org/10.1109/TPEL.63
   Web of Science ®Google Scholar
• Kang, Z., Yu, H., & Li, C. (2020). Variable-parameter double-power reaching law sliding mode control method. Automatika, 61(3), 345–351. https://doi.org/10.1080/00051144.2020.1757965
   Web of Science ®Google Scholar
• Lee, Y., Hsu, S., Chi, T., Du, Y., Hu, J., & Tsao, T. (2021). Industrial robot accurate trajectory generation by nested loop iterative learning control. Mechatronics, 74, 102487. https://doi.org/10.1016/j.mechatronics.2021.102487
   Web of Science ®Google Scholar
• Levant, A. (1998). Robust exact differentiation via sliding mode technique ∗. Automatica, 34(3), 379–384. https://doi.org/10.1016/S0005-1098(97)00209-4
   Web of Science ®Google Scholar
• Levant, A. (2001). Universal single-input-single-output (SISO) sliding-mode controllers with finite-time convergence. IEEE Transactions on Automatic Control, 46(9), 1447–1451. https://doi.org/10.1109/9.948475
   Web of Science ®Google Scholar
• Li, H., Dou, L., & Su, Z. (2013). Adaptive nonsingular fast terminal sliding mode control for electromechanical actuator. International Journal of Systems Science, 44(3), 401–415. https://doi.org/10.1080/00207721.2011.601348
   Web of Science ®Google Scholar
• Li, J., Cao, Q., Dong, M., & Zhang, C. (2021). Compatibility evaluation of a 4-DOF ergonomic exoskeleton for upper limb rehabilitation. Mechanism and Machine Theory, 156, 104146. https://doi.org/10.1016/j.mechmachtheory.2020.104146
   Web of Science ®Google Scholar
• Ma, C., Lam, J., & Lewis, F. L. (2019). Trajectory regulating model reference adaptive controller for robotic systems. IEEE Transactions on Control Systems Technology, 27(6), 2749–2756. https://doi.org/10.1109/TCST.87
   Web of Science ®Google Scholar
• Menhour, L., Andrea-Novel, B., Fliess, M., Gruyer, D., & Mounier, H. (2018). An efficient model-free setting for longitudinal and lateral vehicle control: Validation through the interconnected Pro-SiVIC/RTMaps prototyping platform. IEEE Transactions on Intelligent Transportation Systems, 19(2), 461–475. https://doi.org/10.1109/TITS.2017.2699283
   Web of Science ®Google Scholar
• Moreno, J. A., & Osorio, M. (2012). Strict Lyapunov functions for the super-twisting algorithm. IEEE Transactions on Automatic Control, 57(4), 1035–1040. https://doi.org/10.1109/TAC.2012.2186179
   Web of Science ®Google Scholar
• Pan, J., Li, W., & Zhang, H. (2018). Control algorithms of magnetic suspension systems based on the improved double exponential reaching law of sliding mode control. International Journal of Control, Automation, and Systems, 16(6), 2878–2887. https://doi.org/10.1007/s12555-017-0616-y
   Web of Science ®Google Scholar
• Pereira, G., & Augusto-Angelico, B. (2022). Model-free control of mechatronic systems based on algebraic estimation. Asian Journal of Control, 24(4), 1575–1584. https://doi.org/10.1002/asjc.v24.4
   Web of Science ®Google Scholar
• Petit, F., Daasch, A., & Albu-Schaffer, A. (2015). Backstepping control of variable stiffness robots. IEEE Transactions on Control Systems Technology, 23(6), 2195–2202. https://doi.org/10.1109/TCST.2015.2404894
   Web of Science ®Google Scholar
• Pisano, A., Rapaić, M., Jeličić, Z., & Usai, E. (2010). Sliding mode control approaches to the robust regulation of linear multivariable fractional-order dynamics. International Journal of Robust and Nonlinear Control, 20(18), 2045–2056. https://doi.org/10.1002/rnc.v20.18
   Web of Science ®Google Scholar
• Shi, D., Zhang, J., Sun, Z., Shen, G., & Xia, Y. (2021). Composite trajectory tracking control for robot manipulator with active disturbance rejection. Control Engineering Practice, 106, 104670. https://doi.org/10.1016/j.conengprac.2020.104670
   Web of Science ®Google Scholar
• Sun, G., & Ma, Z. (2017). Practical tracking control of linear motor with adaptive fractional order terminal sliding mode control. IEEE/ASME Transactions on Mechatronics, 22(6), 2643–2653. https://doi.org/10.1109/TMECH.2017.2766279
   Web of Science ®Google Scholar
• Sun, J., Wang, J., Yang, P., & Guo, S. (2021). Model-free prescribed performance fixed-time control for wearable exoskeletons. Applied Mathematical Modelling, 90, 61–77. https://doi.org/10.1016/j.apm.2020.09.010
   Web of Science ®Google Scholar
• Tang, Y. (1998). Terminal sliding mode control for rigid robots. Automatica, 34(1), 51–56. https://doi.org/10.1016/S0005-1098(97)00174-X
   Web of Science ®Google Scholar
• Van, M., Mavrovouniotis, M., & Ge, S. S. (2019). An adaptive backstepping nonsingular fast terminal sliding mode control for robust fault tolerant control of robot manipulators. IEEE Transactions on Systems, Man, and Cybernetics, 49(7), 1448–1458. https://doi.org/10.1109/TSMC.6221021
   Web of Science ®Google Scholar
• Wang, H., Shi, L., Man, Z., Zheng, J., Li, S., Yu, M., Jiang, C., Kong, H., & Cao, Z. (2018). Continuous fast nonsingular terminal sliding mode control of automotive electronic throttle systems using finite-time exact observer. IEEE Transactions on Industrial Electronics, 65(9), 7160–7172. https://doi.org/10.1109/TIE.2018.2795591
   Web of Science ®Google Scholar
• Wang, H. P., Xu, H., Tian, Y., & Tang, H. (2020). α-Variable adaptive model free control of iReHave upper-limb exoskeleton. Advances in Engineering Software, 148, 102872. https://doi.org/10.1016/j.advengsoft.2020.102872
   Web of Science ®Google Scholar
• Wang, H. P., Ye, X., Tian, Y., & Christov, N. (2016). Model-free-based terminal SMC of quadrotor attitude and position. IEEE Transactions on Aerospace and Electronic Systems, 52(5), 2519–2528. https://doi.org/10.1109/TAES.2016.150303
   Web of Science ®Google Scholar
• Wang, H. P., Zheng, D., & Tian, Y. (2016). High pressure common rail injection system modeling and control. ISA Transactions, 63, 265–273. https://doi.org/10.1016/j.isatra.2016.03.002
   PubMed Web of Science ®Google Scholar
• Wang, J., Zhou, Y., Bao, Y., Kim, H. H., & Lee, M. C. (2020). Trajectory tracking control using fractional-order terminal sliding mode control with sliding perturbation observer for a 7-DOF robot manipulator. IEEE/ASME Transactions on Mechatronics, 25(4), 1886–1893. https://doi.org/10.1109/TMECH.3516
   Web of Science ®Google Scholar
• Wang, X., Li, X., Wang, J., Fang, X., & Zhu, X. (2016). Data-driven model-free adaptive sliding mode control for the multi degree-of-freedom robotic exoskeleton. Information Sciences, 327(10), 246–257. https://doi.org/10.1016/j.ins.2015.08.025
   Google Scholar
• Wang, Y., Li, S., Wang, D., Ju, F., Chen, B., & Wu, H. (2021). Adaptive time-delay control for cable-driven manipulators with enhanced nonsingular fast terminal sliding mode. IEEE Transactions on Industrial Electronics, 68(3), 2356–2367. https://doi.org/10.1109/TIE.41
   Web of Science ®Google Scholar
• Wang, Y., Yan, F., Chen, J., Ju, F., & Chen, B. (2019). A new adaptive time-delay control scheme for cable-driven manipulators. IEEE Transactions on Industrial Informatics, 15(6), 3469–3481. https://doi.org/10.1109/TII.9424
   Web of Science ®Google Scholar
• Wang, Z., & Wang, J. (2020). Ultra-local model predictive control: A model-free approach and its application on automated vehicle trajectory tracking. Control Engineering Practice, 101, 104482. https://doi.org/10.1016/j.conengprac.2020.104482
   Web of Science ®Google Scholar
• Wu, Q., Wang, X., Chen, B., & Wu, H. (2018). Development of an RBFN-based neural-fuzzy adaptive control strategy for an upper limb rehabilitation exoskeleton. Mechatronics, 53, 85–94. https://doi.org/10.1016/j.mechatronics.2018.05.014
   Web of Science ®Google Scholar
• Xiong, S., & Hou, Z. (2022). Model-free adaptive control for unknown MIMO nonaffine nonlinear discrete-time systems with experimental validation. IEEE Transactions on Neural Networks and Learning Systems, 33(4), 1727–1739. https://doi.org/10.1109/TNNLS.2020.3043711
   PubMed Web of Science ®Google Scholar
• Xu, L., Chen, G., & Li, Q. (2020). Ultra-local model-free predictive current control based on nonlinear disturbance compensation for permanent magnet synchronous motor. IEEE Access, 8, 127690–127699. https://doi.org/10.1109/Access.6287639
   Web of Science ®Google Scholar
• Yin, C., Huang, X., Chen, Y., Dadras, S., Zhong, S., & Cheng, Y. (2017). Fractional-order exponential switching technique to enhance sliding mode control. Applied Mathematical Modelling, 44, 705–726. https://doi.org/10.1016/j.apm.2017.02.034
   Web of Science ®Google Scholar
• Yuan, Y., Zhang, P., Wang, Z., Guo, L., & Yang, H. (2017). Active disturbance rejection control for the ranger neutral buoyancy vehicle: A delta operator approach. IEEE Transactions on Industrial Electronics, 64(12), 9410–9420. https://doi.org/10.1109/TIE.2017.2711538
   Web of Science ®Google Scholar
• Zhai, J., & Xu, G. (2021). A novel non-singular terminal sliding mode trajectory tracking control for robotic manipulators. IEEE Transactions on Circuits and Systems II: Express Briefs, 68(1), 391–395. https://doi.org/10.1109/TCSII.2020.2999937
   Web of Science ®Google Scholar
• Zhang, G., Wang, J., Yang, P., & Guo, S. (2022). A learning control scheme for upper-limb exoskeleton via adaptive sliding mode technique. Mechatronics, 86, 102832. https://doi.org/10.1016/j.mechatronics.2022.102832
   Web of Science ®Google Scholar
• Zhang, X., Wang, H. P., Tian, Y., Peyrodie, L., & Wang, X. (2018). Model-free based neural network control with time-delay estimation for lower extremity exoskeleton. Neurocomputing, 272, 178–188. https://doi.org/10.1016/j.neucom.2017.06.055
   Web of Science ®Google Scholar
• Zhang, Y., Jiang, T., & Jiao, J. (2020). Model-free predictive current control of DFIG based on an extended state observer under unbalanced and distorted grid. IEEE Transactions on Power Electronics, 35(8), 8130–8139. https://doi.org/10.1109/TPEL.63
   Web of Science ®Google Scholar
• Zhou, X., Wang, H. P., Tian, Y., & Zheng, G. (2020). Disturbance observer-based adaptive boundary iterative learning control for a rigid-flexible manipulator with input backlash and endpoint constraint. International Journal of Adaptive Control and Signal Processing, 34(9), 1220–1241. https://doi.org/10.1002/acs.v34.9
   Web of Science ®Google Scholar