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Chattering Attenuation Using Linear-in-the-Parameter Neural Nets in Variable Structure Control of Robot Manipulators with Friction

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Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 208))

Abstract

Variable structure control is a recognized method to stabilize mechanical systems with friction. Friction produces non linear phenomena, such as tracking errors, limit cycles, and undesired stick-slip motion, degrading the performance of the closed-loop system. The main drawback of variable structure control is the presence of chattering, which is not suitable in mechanical systems. In this paper, we design a variable structure controller complemented with Linear-in-the-Parameter neural nets to attenuate chattering. Experimental validation applied to a three degree of freedom robot mechanical manipulator is shown to support the results.

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References

  1. Canudas de Wit C., Olsson H., Åström K.J., and Lischinsky P., A new model for control of systems with friction. IEEE Trans. Aut. Ctrl., 40(3):419–425, 1995.

    Article  Google Scholar 

  2. Friedland B. and Park Y., On adaptive friction compensation. IEEE Trans. Aut. Ctrl., 37(10):1609–1612, 1992.

    Article  MATH  Google Scholar 

  3. Huang J.-T., An adaptive compensator for a class of linearly parameterized systems. IEEE Trans. Aut. Ctrl., 47(3):483–486, 2002.

    Article  Google Scholar 

  4. Swevers J., Al-Bender F., Ganseman C. G., and Prajogo T., An integrated friction model structure with improved presliding behavior for accurate friction compensation. IEEE Trans. Aut. Ctrl., 45(4):675–686, 2000.

    Article  MATH  Google Scholar 

  5. Kelly R., Santibañez V., and González E., Adaptive friction compensation in mechanisms using Dahl model. In Proc. Instn. Mech. Engrs., 218 Part I: J. Systems and Control Engineering, 53–57, 2004.

    Google Scholar 

  6. Cho S. and Ha I., A learning approach to tracking in mechanical systems with friction. IEEE Trans. Aut. Ctrl., 45(1):111–116, 2000.

    Article  MATH  Google Scholar 

  7. Dupont P. E. and Dunlap E. P., Friction modeling and PD compensation at very low velocities. Trans. of the ASME, 117(3): 8–14, 1995.

    Google Scholar 

  8. Orlov Y., Alvarez J., Acho L., and Aguilar L., Global position regulation of friction manipulators via switched chattering control. Int. J. of Control, 76(14):1446–1452, 2003.

    Article  MATH  Google Scholar 

  9. Fridman L. and Levant A. Higher order sliding modes as a natural phenomenon in control theory. In Garafalo and Glielmo (Eds.) Robust Control via Variable Structure and Lyapunov Techniques, Lectures Chattering Attenuation Using Linear-in-the-Parameter Neural Nets 241 notes in control and information science, 217, (Berlin: Springer, 1996), pp. 107–133.

    Chapter  Google Scholar 

  10. Orlov Y., Aguilar L., and Cadiou J. C. Switched chattering control vs. back-lash/friction phenomena in electrical servomotors. Int. J. of Control, 76(9/10): 959–967, 2003.

    Article  MATH  Google Scholar 

  11. Utkin V. I., Sliding modes in control optimization. Springer-Verlag, Berlin, Germany, 1992.

    MATH  Google Scholar 

  12. Rastko R. and Lewis F., Neural-network approximation of piewise continuous functions: Application to friction compensation. IEEE Trans. Neural Networks, 13(3):745–751, 2002.

    Article  Google Scholar 

  13. Lewis F., Jagannathan S., and Yesildirek A., Neural network control of robot manipulators and nonlinear systems. Taylor and Francis, UK, 1999.

    Google Scholar 

  14. Polycarpou M. M., Stable adaptive neural control scheme for nonlinear systems. IEEE Trans. Aut. Ctrl., 41(3):447–451, 1996.

    Article  MATH  Google Scholar 

  15. Chen F. and Liu C., Adaptively controlling nonlinear continuous-time systems using multilayer neural networks, IEEE Trans. Aut. Ctrl., 39(6):1306–1310, 1994.

    Article  MATH  Google Scholar 

  16. Spooner J. T., Maggiore M., Ordóñez R., and Passino K. Stable adaptive control and estimation for nonlinear systems. Wiley Interscience, NY, 2002.

    Google Scholar 

  17. Parra-Vega V., Liu Y-H., and Arimoto S., Variable structure robot control undergoing chattering attenuation: adaptive and nonadaptive cases, in Proc. Int. Conf. in Robotics and Automation, pp. 1824–1829, 1994.

    Google Scholar 

  18. Bartolini G., Ferrara A., and Usai E., Chattering avoidance by secondorder sliding mode control, IEEE Trans. Automat. Contr., vol. 43, no. 2, pp. 241–246, 1998.

    Article  MATH  Google Scholar 

  19. Berghuis H. and Nijmeijer H., Global regulation of robots using only position measurements. Systems and Control Letters, 21:289–293, 1993.

    Article  MATH  Google Scholar 

  20. Hench J. J., On a class of adaptive suboptimal Riccati-based controllers. In Proc. American Control Conference, San Diego, CA, USA, 1999.

    Google Scholar 

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Guerra, R., Aguilar, L.T., Acho, L. (2007). Chattering Attenuation Using Linear-in-the-Parameter Neural Nets in Variable Structure Control of Robot Manipulators with Friction. In: Castillo, O., Melin, P., Kacprzyk, J., Pedrycz, W. (eds) Hybrid Intelligent Systems. Studies in Fuzziness and Soft Computing, vol 208. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-37421-3_14

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  • DOI: https://doi.org/10.1007/978-3-540-37421-3_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-37419-0

  • Online ISBN: 978-3-540-37421-3

  • eBook Packages: EngineeringEngineering (R0)

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