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Error Transformation-Based Accelerated Adaptive Tracking Control of Uncertain Robotic Manipulators

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Intelligent Robotics and Applications (ICIRA 2018)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10985))

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Abstract

It is nontrivial to improve transient tracking performance for robotic manipulators in the presence of nonparametric uncertainties and external disturbances. In this paper, by introducing a time-varying scaling function and an error-dependent transformation, we present a performance-based tracking control scheme such that the transient tracking process is adjustable without involving large initial control effort. The resultant control algorithm is simple in structure, inexpensive in computation, user-friendly in design, and undemanding in implementation. Both theoretical analysis and numerical simulation verify the effectiveness and benefits of the proposed method.

Supported by the Graduate Scientific Research and Innovation Foundation of Chongqing under Grant CYB17048.

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References

  1. Baek, J., Jin, M., Han, S.: A new adaptive sliding-mode control scheme for application to robot manipulators. IEEE Trans. Ind. Electron. 63(6), 3628–3637 (2016)

    Article  Google Scholar 

  2. Cao, Y., Song. Y.D.: Adaptive PID-like fault-tolerant control for robot manipulators with given performance specifications. Int. J. Control (2018, to appear). https://doi.org/10.1080/00207179.2018.1468928

  3. Craig, J.J.: Adaptive Control of Mechanical Manipulators. Addison-Wesley, New York (1998)

    Google Scholar 

  4. Friedland, B., Park, Y.J.: On adaptive friction compensation. IEEE Trans. Autom. Control 37(10), 1609–1612 (1992)

    Article  MathSciNet  Google Scholar 

  5. Galicki, M.: Finite-time control of robotic manipulators. Automatica 51(1), 49–54 (2015)

    Article  MathSciNet  Google Scholar 

  6. Hong, Y., Xu, Y., Huang, J.: Finite-time control for robot manipulators. Syst. Control Lett. 46(4), 243–253 (2002)

    Article  MathSciNet  Google Scholar 

  7. Jin, M., Lee, J., Chang, P.H., Choi, C.: Practical nonsingular terminal sliding-mode control of robot manipulators for high-accuracy tracking control. IEEE Trans. Ind. Electron. 56(9), 3593–3601 (2009)

    Article  Google Scholar 

  8. Karayiannidis, Y., Doulgeri, Z.: Model-free robot joint position regulation and tracking with prescribed performance guarantees. Robot. Auton. Syst. 60(2), 214–226 (2012)

    Article  Google Scholar 

  9. Lewis, F.L., Yesildirak, A., Jagannathan, S.: Neural Network Control of Robot Manipulators and Nonlinear Systems. Taylor & Francis, London (1999)

    Google Scholar 

  10. Liu, H., Tian, X., Wang, G., Zhang, T.: Finite-time \({H_\infty }\) control for high-precision tracking in robotic manipulators using backstepping control. IEEE Trans. Ind. Electron. 63(9), 5501–5513 (2016)

    Article  Google Scholar 

  11. Patre, P.M., Mackunis, W., Makkar, C., Dixon, W.E.: Asymptotic tracking for systems with structured and unstructured uncertainties. IEEE Trans. Control Syst. Technol. 16(2), 373–379 (2008)

    Article  Google Scholar 

  12. Slotine, J.J.E., Li, W.: Composite adaptive control of robot manipulators. Automatica 25(4), 509–519 (1989)

    Article  MathSciNet  Google Scholar 

  13. Slotine, J.-J.E., Li, W.: Applied Nonlinear Control. Prentice-Hall, Englewood Cliffs (1991)

    MATH  Google Scholar 

  14. Song, Y.D., Zhao, K.: Accelerated adaptive control of nonlinear uncertain systems. In: The proceedings of the 2017 American Control Conference, pp. 2471–2476. IEEE, Seattle (2017)

    Google Scholar 

  15. Song, Y., Zhao, K., Krstic, M.: Adaptive control with exponential regulation in the absence of persistent excitation. IEEE Trans. Autom. Control 62(5), 2589–2596 (2017)

    Article  MathSciNet  Google Scholar 

  16. Spong, M.W., Hutchinson, S., Vidyasagar, M.: Robot Modeling and Control. Wiley, New York (2006)

    Google Scholar 

  17. Takegaki, M., Arimoto, S.: A new feedback method for dynamic control of manipulators. J. Dyn. Syst. Meas. Control 103(2), 119–125 (1981)

    Article  Google Scholar 

  18. Tang, Y.: Terminal sliding mode control for rigid robots. Automatica 34(1), 51–56 (1998)

    Article  MathSciNet  Google Scholar 

  19. Utkin, V.I.: Sliding Modes in Optimization and Control Problems. Springer, Heidelberg (1992). https://doi.org/10.1007/978-3-642-84379-2

    Book  MATH  Google Scholar 

  20. Yao, B., Tomizuka, M.: Adaptive robust motion and force tracking control of robot manipulators in contact with stiff surfaces. Automatica 120(2), 232–240 (1998)

    Google Scholar 

  21. Feng, Y., Yu, X., Man, Z.: Non-singular terminal sliding mode control of rigid manipulators. Automatica 38(12), 2159–2167 (2002)

    Article  MathSciNet  Google Scholar 

  22. Yu, S., Yu, X., Shirinzadeh, B., Man, Z.: Continuous finite-time control for robotic manipulators with terminal sliding mode. Automatica 41(11), 1957–1964 (2005)

    Article  MathSciNet  Google Scholar 

  23. Zhao, K., Song, Y.D., Ma, T.D., He, L.: Prescribed performance control of uncertain Euler-Lagrange systems subject to full-state constraints. IEEE Trans. Neural Netw. Learn. Syst. (2017). https://doi.org/10.1109/TNNLS.2017.2727223

  24. Zhao, K., Song, Y.D., Wen, C.: Compuationally inexpensive fault tolerant control of uncertain nonlinear systems with nonsmooth asymmetric input saturation and undetectable actuation failures. IET Control Theor. Appl. 10(15), 1866–1873 (2016)

    Article  Google Scholar 

  25. Zhao, K., Song, Y.D., Qian, J., Fu, J.: Zero-error tracking control with pre-assignable convergence mode for nonlinear systems under nonvanishing uncertainties and unknown control direction. Syst. Control Lett. 115, 34–40 (2018)

    Article  MathSciNet  Google Scholar 

  26. Tu, X., Lai, J., Zhao, K.: Robust adaptive control of nonlinear systems with asymmetric non-smooth saturation. In: The 28th Chinese Control and Decision Conference, Yinchuan, pp. 500–505 (2016)

    Google Scholar 

  27. Wen, C., Zhou, J., Liu, Z., Su, H.: Robust adaptive control of uncertain nonlinear systems in the presence of input saturation and external disturbance. IEEE Trans. Autom. Control 56(7), 1672–1678 (2011)

    Article  MathSciNet  Google Scholar 

  28. Bechlioulis, C., Doulgeri, Z., Rovithakis, G.A.: Guaranteeing prescribed performance and contact maintenance via an approximation free robot force/position controller. Automatica 48(2), 360–365 (2012)

    Article  MathSciNet  Google Scholar 

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Zhao, K. (2018). Error Transformation-Based Accelerated Adaptive Tracking Control of Uncertain Robotic Manipulators. In: Chen, Z., Mendes, A., Yan, Y., Chen, S. (eds) Intelligent Robotics and Applications. ICIRA 2018. Lecture Notes in Computer Science(), vol 10985. Springer, Cham. https://doi.org/10.1007/978-3-319-97589-4_13

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  • DOI: https://doi.org/10.1007/978-3-319-97589-4_13

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-97588-7

  • Online ISBN: 978-3-319-97589-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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