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Proxy Based Sliding Mode Control for a Class of Second-Order Nonlinear Systems

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Intelligent Robotics and Applications (ICIRA 2017)

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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)

    Article  Google Scholar 

  • Slotine, J., Li, W.: Applied Nonlinear Control. Prentice-Hall, Upper Saddle River (1991)

    MATH  Google Scholar 

  • 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)

    Article  Google Scholar 

  • 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)

    Google Scholar 

  • 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)

    Article  Google Scholar 

  • Reynolds, D., Repperger, D., Phillips, C., Bandry, G.: Modeling the dynamic characteristics of pneumatic muscle. Ann. Biomed. Eng. 31(3), 310–317 (2003)

    Article  Google Scholar 

  • 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)

    Article  MathSciNet  Google Scholar 

  • 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)

    Article  Google Scholar 

  • 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)

    Article  Google Scholar 

  • 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)

    Google Scholar 

  • 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)

    Article  Google Scholar 

  • 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)

    Article  MathSciNet  Google Scholar 

  • 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)

    MATH  MathSciNet  Google Scholar 

  • 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)

    Article  Google Scholar 

  • 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)

    Article  Google Scholar 

  • 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)

    Article  Google Scholar 

  • 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)

    Article  MATH  MathSciNet  Google Scholar 

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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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Correspondence to Jian Huang .

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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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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-65291-7

  • Online ISBN: 978-3-319-65292-4

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