Abstract
In this paper, an extended Proxy-based Sliding Mode Control (PSMC) which combines sliding mode control with conventional stiff position control, is proposed and applied for the tracking control of a class of second-order nonlinear systems. The well-known chattering problem can be solved by using the proposed control scheme. As a result, the overdamped dynamics which is extremely important for system safety can be achieved without losing the advantage of accurate control performance in the presence of external disturbances and parameter uncertainties. Based on Lyapunov theory, the stability analysis of the proposed scheme is presented and the passivity of the system is also proven. Experiments are carried out to verify the proposed method.
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References
Kikuuwe, R., Yasukouchi, S., Fujimoto, H., Yamamoto, M.: Proxy-based sliding mode control: a safer extension of PID position control. IEEE Trans. Robot. 26(4), 670–683 (2010)
Slotine, J., Li, W.: Applied Nonlinear Control. Prentice-Hall, Upper Saddle River (1991)
Kashiri, N., Jinoh, L.: Proxy-based position control of manipulators with passive compliant actuators: stability analysis and experiments. Robot. Auton. Syst. 75, 398–408 (2016)
Kikuuwe, R., Fujimoto, H.: Proxy-based sliding mode control for accurate and safe position control. In: Proceedings of the 2006 IEEE International Conference on Robotics and Automation, pp. 25–30. IEEE, Orlando, FL, USA (2006)
Van Damme, M., Vanderborght, B., Verrelst, B., VanHam, R., Daerden, F., Lefeber, D.: Proxy-based sliding mode control of a planar pneumatic manipulator. Int. J. Robot. Res. 28(2), 266–284 (2009)
Reynolds, D., Repperger, D., Phillips, C., Bandry, G.: Modeling the dynamic characteristics of pneumatic muscle. Ann. Biomed. Eng. 31(3), 310–317 (2003)
Kexin, X., Jian, H., Yongji, W., Jun, W., Xu, Q., He, J.: Tracking control of pneumatic artificial muscle actuators based on sliding mode and non-linear disturbance observer. IET Control Theory Appl. 4(10), 2058–2070 (2010)
Kikuuwe, R., Yamamoto, T., Fujimoto, H.: A guideline for low-force robotic guidance for enhancing human performance of positioning and trajectory tracking: it should be stiff and appropriately slow. IEEE Trans. Syst. Man Cybern. - Part A Syst. Hum. 38(4), 945–957 (2008)
Jun, W., Jian, H., Yongji, W., Kexin, X.: Nonlinear disturbance observer-based dynamic surface control for trajectory tracking of pneumatic muscle system. IEEE Trans. Control Syst. Technol. 22(2), 440–455 (2014)
Lilly, J.H., Liang, Y.: Trajectory tracking of a pneumatically driven parallel robot using higher-order SMC. IEEE Trans. Control Syst. Technol. 23(3), 387–392 (2010)
Jian, H., Zhihong, G., Matsuno, T., Fukuda, T., Sekiyama, K.: Sliding-mode velocity control of mobile-wheeled inverted-pendulum systems. IEEE Trans. Robot. 26(4), 750–758 (2010)
Xiang, X., Caoyang, Y., Qin, Z.: Robust fuzzy 3d path following for autonomous underwater vehicle subject to uncertainties. Comput. Oper. Res. 84, 165–177 (2017)
Chen, M., Chen, W.H.: Sliding mode control for a class of uncertain nonlinear system based on disturbance observer. Int. J. Adapt. Control Signal Process. 24(1), 51–64 (2010)
Yang, Z., Tsubakihara, H., Kanae, S., Wada, K., Su, C.: A novel robust non-linear motion controller with disturbance observer. IEEE Trans. Control Syst. Technol. 16(1), 137–147 (2008)
Eksin, B., Tokat, S., Guzelkaya, M., Soylemez, M.: Design of a sliding mode controller with a nonlinear time-varying sliding surface. Trans. Inst. Meas. Control 25(2), 145–162 (2003)
Lilly, J.H., Yang, L.: Sliding mode tracking for pneumatic muscle actuators in opposing pair configuration. IEEE Trans. Control Syst. Technol. 13(4), 550–558 (2005)
Iriarte, R., Aguilar, L.T., Fridman, L.: Second order sliding mode tracking controller for inertia wheel pendulum. J. Franklin Inst. 350(1), 92–106 (2013)
Acknowledgement
This work was supported by the National Natural Science Foundation of China under Grant 61473130, the Science Fund for Distinguished Young Scholars of Hubei Province (2015CFA047), the Fundamental Research Funds for the Central Universities (HUST: 2015TS028) and the Program for New Century Excellent Talents in University (NCET- 12-0214).
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Ding, G., Huang, J., Cao, Y. (2017). Proxy Based Sliding Mode Control for a Class of Second-Order Nonlinear Systems. In: Huang, Y., Wu, H., Liu, H., Yin, Z. (eds) Intelligent Robotics and Applications. ICIRA 2017. Lecture Notes in Computer Science(), vol 10463. Springer, Cham. https://doi.org/10.1007/978-3-319-65292-4_76
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DOI: https://doi.org/10.1007/978-3-319-65292-4_76
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