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Adaptive Time-delayed Control with Integral Sliding-mode Surface for Fast Convergence Rate of Robot Manipulator

로봇 머니퓰레이터에서의 수렴속도 향상을 위한 적분 슬라이딩 모드 기반 적응 시간 제어 기법

  • Received : 2021.10.11
  • Accepted : 2021.11.29
  • Published : 2021.12.31

Abstract

This paper proposes an adaptive time-delayed control approach with the integral sliding-mode surface for the fast convergence rate of robot manipulators. Adaptive switching gain aims to guarantee the system stability in such a way as to suppress time-delayed estimation error in the proposed control approach. Moreover, it makes an effort to increase the convergence ability in reaching the phase. An integral sliding-mode surface is employed to achieve a fast convergence rate in the sliding phase. The stability of the proposed one is proved to be asymptotically stable in the Lyapunov stability. The efficiency of the proposed control approach is illustrated with a tutorial example in robot manipulator, which is compared to that of the existing control approach.

Keywords

Acknowledgement

이 논문은 2021년도 정부 (교육부)의 재원으로 한국연구재단의 지원을 받아 수행된 기초연구사업임 (No. 2021R1I1A3059648).

References

  1. M. Zhang, S. Xie, X. Li, G. Zhu, W. Meng, X. Huang, A. Veale, "Adaptive Patient-cooperative Control of a Compliant Ankle Rehabilitation Robot (CARR) with Enhanced Training Safety," IEEE Trans. Ind. Electron., Vol. 65, No. 2, pp. 1398-1407, 2017. https://doi.org/10.1109/tie.2017.2733425
  2. C. Yang, G. Peng, L. Cheng, J. Na, Z. Li, "Force Sensorless Admittance Control for Teleoperation of Uncertain Robot Manipulator Using Neural Networks," IEEE Trans. Syst., Man, Cybern. Syst., 2019.
  3. O. Kermorgant, F. Chaumette, "Dealing with Constraints in Sensor-based Robot Control," IEEE Trans. Robot., Vol. 30, No. 1, pp. 244-257, 2013 https://doi.org/10.1109/TRO.2013.2281560
  4. H. Xiao, Z. Li, C. Yang, L. Zhang, P. Yuan, L. Ding, T. Wang, "Robust Stabilization of a Wheeled Mobile Robot Using Model Predictive Control Based on Neurodynamics Optimization," IEEE Trans. Ind. Electron., Vol. 64, No. 1, pp. 505-516, 2016. https://doi.org/10.1109/TIE.2016.2606358
  5. L. Santos, R. Cortesao, "Computed-torque Control for Robotic-assisted Tele-echography Based on Perceived Stiffness Estimation," IEEE Trans. Autom. Sci. Eng., Vol. 15, No. 3, pp. 1337-1354, 2018. https://doi.org/10.1109/tase.2018.2790900
  6. V. Utkin, J. Guldner, J. Shi, "Sliding Mode Control in Electro-Mechanical Systems". Boca Raton, FL, USA: CRC Press, 2009.
  7. T. Hsia, L. Gao, "Robust Independent Joint Controller Design for Industrial Robot Manipulators," IEEE Trans. Ind. Electron., Vol. 38, No. 1, pp. 21-25, 1991. https://doi.org/10.1109/41.103479
  8. K. Youcef-Toumi, O. Ito, "A Time Delay Controller for Systems with Unknown Dynamics," Trans. ASME, J. Dyn. Syst. Meas. Control, Vol. 112, No. 1, pp. 133-142, 1990. https://doi.org/10.1115/1.2894130
  9. Y. Wang, D. Yu, Y. Kim, "Robust Time-delay Control for the DC-DC Boost Converter," IEEE Trans. Ind. Electron., Vol. 61, No. 9, pp. 4829-4837, Sep. 2014. https://doi.org/10.1109/TIE.2013.2290764
  10. J. Baek, J. Jung, ''A Model-Free Control Scheme for Attitude Stabilization of Quadrotor Systems,'' Electronics, Vol. 9, No. 10, pp. 1586, 2020. https://doi.org/10.3390/electronics9101586
  11. B. Park, T. Kim, M. Tahk, "Time-delay Control for Integrated Missile Guidance and Control," Int. J. Aeronaut. Space Sci., Vol. 12, No. 3, pp. 260-265, 2011. https://doi.org/10.5139/IJASS.2011.12.3.260
  12. J. Baek, H. Baek, ''Adaptive Time-delayed Control Approach with Non-singular Sliding-mode for Robot Manipulators,'' J. Institute Control Robot. Syst., Vol. 25, No. 10, pp. 896-901, 2019. https://doi.org/10.5302/J.ICROS.2019.19.0175
  13. J. Baek, M. Jin, S. Han, ''A new Adaptive Sliding-mode Control Scheme for Application to Robot Manipulators,'' IEEE Trans. Ind. Electron., Vol. 63, No. 6, pp. 3628-3637, 2016. https://doi.org/10.1109/TIE.2016.2522386
  14. G. Cho, P. Chang, S. Park, M. Jin, "Robust Tracking Under Nonlin ear Friction Using Time-delay Control with Internal Model," IEEE Trans. Control Syst. Technol., Vol. 17, No. 6, pp. 1406-1414, 2009. https://doi.org/10.1109/TCST.2008.2007650
  15. J. Baek, W. Kwon, C. Kang, ''A new Widely and Stably Adaptive Sliding-mode Control with Nonsingular Terminal Sliding Variable for Robot Manipulators,'' IEEE Access, Vol. 8, pp. 43443-43454, 2020. https://doi.org/10.1109/access.2020.2977434
  16. B. Brahmi, M. Saad, C. Ochoa-Luna, H. Rahman, A. Brahmi, "Adaptive Tracking Control of an Exoskeleton Robot with Uncertain Dynamics Based on Estimated Time-delay Control," IEEE/ASME Trans. Mechatronics, Vol. 23, No. 2, pp. 575-585, 2018. https://doi.org/10.1109/tmech.2018.2808235
  17. J. Baek, S. Cho, S. Han, ''Practical Time-delay Control with Adaptive Gains for Trajectory Tracking of Robot Manipulators,'' IEEE Trans. Ind. Electron., Vol. 65, No. 7, pp. 5682-5692, 2018. https://doi.org/10.1109/tie.2017.2782238
  18. J. Baek, W. Kwon, B. Kim, S. Han, "A Widely Adaptive Time-delayed Control and its Application to Robot Manipulators,'' IEEE Trans. Ind. Electron., Vol. 66, No. 7, pp. 5332-5342, 2019. https://doi.org/10.1109/tie.2018.2869347
  19. H. Khalil, A. Saberi, "Adaptive Stabilization of a Class of Nonlin ear Systems Using High-gain Feedback," IEEE Trans. Automat. Control, Vol. 32, No. 11, pp. 1031-1035, 1987. https://doi.org/10.1109/TAC.1987.1104481