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Discrete adaptive fuzzy control for asymptotic tracking of robotic manipulators

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Abstract

This paper presents a novel discrete adaptive fuzzy controller for electrically driven robot manipulators. It addresses how to overcome the nonlinearity, uncertainties, discretizing error and approximation error of the fuzzy system for asymptotic tracking control of robotic manipulators. The proposed controller is model-free in the form of discrete Mamdani fuzzy controller. The parameters of fuzzy controller are adaptively tuned using an adaptive mechanism derived by stability analysis. A robust control term is used to compensate the approximation error of the fuzzy system for asymptotic tracking of a desired trajectory. The controller is robust against all uncertainties associated with the robot manipulator and actuators. It is easy to implement since it requires only the joint position feedback. Compared with fuzzy controllers which employ all states to guarantee stability, the proposed controller is very simpler. Stability analysis and simulation results show its efficiency in the tracking control.

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References

  1. Ogata, K.: Discrete-Time Control Systems. Prentice-Hall, NJ (1987)

    Google Scholar 

  2. Arimoto, S.: Learning control theory for robotic motion. Int. J. Adapt. Control Signal Process 4, 543–564 (1990)

    Article  MATH  Google Scholar 

  3. Fateh, M.M., Baluchzadeh, M.: Discrete optimal control for robot manipulators. Int. J. Comput. Math. Electr. Electron. Eng. 33(2/1), 423–444 (2013)

    MathSciNet  Google Scholar 

  4. Fateh, M.M., Ahsani Tehrani, H., Karbassi, S.M.: Repetitive control of electrically driven robot manipulators. Int. J. Syst. Sci. 44(4), 775–785 (2013)

    Article  MATH  Google Scholar 

  5. Qu, Z., Dawson, D.M.: Robust Tracking Control of Robot Manipulators. IEEE Press, New York (1996)

    MATH  Google Scholar 

  6. Wang, L.X.: A Course in Fuzzy Systems and Control. Prentice-Hall, New York (1997)

    MATH  Google Scholar 

  7. Qi, R., Tao, G., Jiang, B., Tan, C.: Adaptive control schemes for discrete-time T–S fuzzy systems with unknown parameters and actuator failures. IEEE Trans. Fuzzy Syst. 20(3), 471–486 (2012)

    Article  Google Scholar 

  8. Talole, S.E., Phadke, S.B.: Model following sliding mode control based on uncertainty and disturbance estimator. J. Dyn. Syst. Meas. Control 130(3), 1–5 (2008)

    Article  Google Scholar 

  9. Kim, E.: A discrete-time fuzzy disturbance observer and its application to control. IEEE Trans. Fuzzy Syst. 11(3), 399–410 (2003)

    Article  Google Scholar 

  10. Fateh, M.M., Azargoshasb, S., Khorashadizadeh, S.: A model-free discrete control for robot manipulators using a fuzzy estimator. Int. J. Comput. Math. Electr. Electron. Eng. 33(3), 1051–1067 (2014)

    Article  MathSciNet  Google Scholar 

  11. Yu, W.S., Weng, C.C.: An observer-based adaptive neural network tracking control of robotic systems. Appl. Soft Comput. 13(12), 4645–4658 (2013)

    Article  Google Scholar 

  12. Puga-Guzmán, S., Moreno-Valenzuela, J., Santibáñez, V.: Adaptive neural network motion control of manipulators with experimental evaluations. Sci. World J. Article ID 694706. doi:10.1155/2014/694706

  13. Ruiyun, Q., Mietek, A.B.: Stable indirect adaptive control based on discrete-time T–S fuzzy model. Fuzzy Sets Syst. 159(8), 900–925 (2008)

    Article  MATH  Google Scholar 

  14. Zhang, Z., Huang, X., Ban, X., Gao, X.Z.: Stability analysis and design for discrete fuzzy systems with time-delay under imperfect premise matching. J. Inf. Comput. Sci. 8(13), 2613–2622 (2011)

  15. Zhang, H., Feng, G.: Stability analysis and \(H_\infty \) controller design of discrete-time fuzzy large-scale systems based on piecewise Lyapunov functions. IEEE Trans. Syst. 38(5), 1390–1401 (2008)

    Google Scholar 

  16. Fateh, M.M.: Proper uncertainty bound parameter to robust control of electrical manipulators using nominal model. Nonlinear Dyn. 61(4), 655–666 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  17. Spong, M.W., Hutchinson, S., Vidyasagar, M.: Robot Modelling and Control. Wiley, Hoboken (2006)

    Google Scholar 

  18. Fateh, M.M.: On the voltage-based control of robot manipulators. Int. J. Control Autom. Syst. 6(5), 702–712 (2008)

    Google Scholar 

  19. Fateh, M.M.: Robust control of flexible-joint robots using voltage control strategy. Nonlinear Dyn. 67(2), 1525–1537 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  20. Fateh, M.M.: Nonlinear control of electrical flexible-joint robots. Nonlinear Dyn. 67(4), 2549–2559 (2011)

    Article  MathSciNet  Google Scholar 

  21. Fateh, M.M., Khorashadizadeh, S.: Optimal robust voltage control of electrically driven robot manipulators. Nonlinear Dyn. 70(2), 1445–1458 (2012)

    Article  MathSciNet  Google Scholar 

  22. Fateh, M.M.: Robust fuzzy control of electrical manipulators. J. Intell. Robot. Syst. 60(3–4), 415–434 (2010)

    Article  MATH  Google Scholar 

  23. Fateh, M.M., Khorashadizadeh, S.: Robust control of electrically driven robots by adaptive fuzzy estimation of uncertainty. Nonlinear Dyn. 69(3), 1465–1477 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  24. Fateh, M.M., Fateh, S.: Decentralized direct adaptive fuzzy control of robots using voltage control strategy. Nonlinear Dyn. 70(3), 1919–1930 (2012)

    Article  MathSciNet  Google Scholar 

  25. Moreno-Valenzuela, J., Campa, R., Santibanez, V.: On passivity-based control of a class of electrically driven robots. In: IECON 2012—38th Annual Conference on IEEE Industrial Electronics Society, pp. 2756–2761 (2012)

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Authors and Affiliations

  1. Department of Electrical and Robotic Engineering, Shahrood University of Technology, 361995161 , Shahrood, Iran

    Mohammad Mehdi Fateh & Siamak Azargoshasb

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  1. Mohammad Mehdi Fateh
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  2. Siamak Azargoshasb
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Correspondence to Mohammad Mehdi Fateh.

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Fateh, M.M., Azargoshasb, S. Discrete adaptive fuzzy control for asymptotic tracking of robotic manipulators. Nonlinear Dyn 78, 2195–2204 (2014). https://doi.org/10.1007/s11071-014-1590-z

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  • DOI: https://doi.org/10.1007/s11071-014-1590-z

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