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Sliding Mode Control of Robot Based on Neural Network Model with Positive Definite Inertia Matrix

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Artificial Neural Networks – ICANN 2010 (ICANN 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6353))

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Abstract

A synthesis of a sliding mode control law, for a robot arm, based on the robot model with a positive definite inertia matrix, identified with an artificial neural network, is presented. The structure of the neural network resemble a Lagrange-Euler mathematical model of the robot, and identifies the positive definite inertia matrix. A design of the neural model is based on the Cholesky decomposition of the identified inertia matrix.

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References

  1. Slotine, J.J., Sastry, S.S.: Tracking control of nonlinear systems using sliding surfaces with aplication to robot manipulators. International Journal of Control 38(2), 465–492 (1983)

    Article  MATH  MathSciNet  Google Scholar 

  2. Tang, K.M.W., Tourassis, V.D.: Systematic simplification of dynamic robot models. In: Proc. Midwest Symp. Circuits Syst., Syracuse, NY, pp. 1031–1034 (1987)

    Google Scholar 

  3. Gao, W., Hung, J.C.: Variable structure control of nonlinear systems:a new approach. IEEE Transactions on Industrial Electronics 40, 45–56 (1993)

    Article  Google Scholar 

  4. Corke, P.I., Armstrong-Helouvry, B.: A search for consensus among model parameters reported for the PUMA 560 robot. In: Proc. IEEE Int. Conf. Robotics and Automation, San Diego, vol. 1, pp. 1608–1613 (1994)

    Google Scholar 

  5. Golub, G.H., Van Loan, C.F.: Matrix Computations, 3rd edn. Johns Hopkins University Press, Baltimore (1996)

    MATH  Google Scholar 

  6. Edwards, C., Spurgeon, S.K.: Sliding Mode Control: Theory and Applications. Taylor & Francis, Abington (1998)

    Google Scholar 

  7. Możaryn, J., Kurek, J.E.: Comparison of sliding mode control and decoupled sliding mode control of robot Puma 560. In: Proc. 9th IEEE Int. Conf. on Methods and Models in Automation and Robotics, MMAR 2003, Miȩdzyzdroje, Poland, vol. 2 (2003)

    Google Scholar 

  8. Lewis, F.L., Dawson, D.M., Abdallah, C.T.: Robot Manipulator Control: Theory and Practice. CRC Press, Boca Raton (2004)

    Google Scholar 

  9. Spong, M.W., Hutchinson, S., Vidyasagar, M.: Robot Modeling and Control. Wiley, Chichester (2005)

    Google Scholar 

  10. Osowski, S.: Neural Networks for Information Processing. OWPW, Warsaw (2006) (in Polish)

    Google Scholar 

  11. Możaryn, J., Kurek, J.E.: Synthesis of sliding mode control of robot with neural network model. In: Proc. 12th IEEE Int. Conf. on Methods and Models in Automation and Robotics, MMAR 2006, Miȩdzyzdroje, Poland, vol. 2, pp. 631–636 (2006)

    Google Scholar 

  12. Tang, Y., Sun, F., Sun, Z.: Neural network control of flexible-link manipulators using sliding mode. Neurocomputing 70, 288–295 (2006)

    Article  Google Scholar 

  13. Leem, H., Utkin, V.I.: Chattering Analysis. In: Edwards, C., Colet, F., Fridman, E. (eds.) Advances in Variable Structure and Sliding Mode Control. Springer, Heidelberg (2006)

    Google Scholar 

  14. Siciliano, B., Khatib, O. (eds.): Springer Handbook of Robotics. Springer, Heidelberg (2008)

    MATH  Google Scholar 

  15. Możaryn, J., Kurek, J.E.: Design of a neural network for an identification of a robot model with a positive definite inertia matrix. In: Rutkowski, L., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2010. LNCS, vol. 6114, pp. 321–328. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

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Możaryn, J., Kurek, J.E. (2010). Sliding Mode Control of Robot Based on Neural Network Model with Positive Definite Inertia Matrix. In: Diamantaras, K., Duch, W., Iliadis, L.S. (eds) Artificial Neural Networks – ICANN 2010. ICANN 2010. Lecture Notes in Computer Science, vol 6353. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15822-3_34

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  • DOI: https://doi.org/10.1007/978-3-642-15822-3_34

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15821-6

  • Online ISBN: 978-3-642-15822-3

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