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Online Incremental Learning of Inverse Dynamics Incorporating Prior Knowledge

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Autonomous and Intelligent Systems (AIS 2011)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6752))

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Abstract

Recent approaches to model-based manipulator control involve data-driven learning of the inverse dynamics relationship of a manipulator, eliminating the need for any knowledge of the system model. Ideally, such algorithms should be able to process large amounts of data in an online and incremental manner, thus allowing the system to adapt to changes in its model structure or parameters. Locally Weighted Projection Regression (LWPR) and other non-parametric regression techniques have been applied to learn manipulator inverse dynamics. However, a common issue amongst these learning algorithms is that the system is unable to generalize well outside of regions where it has been trained. Furthermore, learning commences entirely from ‘scratch,’ making no use of any a-priori knowledge which may be available. In this paper, an online, incremental learning algorithm incorporating prior knowledge is proposed. Prior knowledge is incorporated into the LWPR framework by initializing the local linear models with a first order approximation of the available prior information. It is shown that the proposed approach allows the system to operate well even without any initial training data, and further improves performance with additional online training.

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References

  1. Sciavicco, L., Scicliano, B.: Modelling and Control of Robot Manipulators, 2nd edn. Springer, Heidelberg (2000)

    Book  Google Scholar 

  2. Craig, J., Hsu, P., Sastry, S.: Adaptive control of mechanical manipulators. In: Proc. 1986 IEEE Int Conf. on Robotics and Auto., April 1986, vol. 3, pp. 190–195 (1986)

    Google Scholar 

  3. Armstrong-Hélouvry, B., Dupont, P., de Wit, C.C.: A survey of models, analysis tools and compensation methods for the control of machines with friction. Automatica 30(7), 1083–1138 (1994)

    Article  MATH  Google Scholar 

  4. Ayusawa, K., Venture, G., Nakamura, Y.: Identification of humanoid robots dynamics using floating-base motion dynamics. In: IEEE/RSJ Int. Conf. on Intelligent Robots and Systems, IROS 2008, pp. 2854–2859 (September 2008)

    Google Scholar 

  5. Ortega, R., Spong, M.W.: Adaptive motion control of rigid robots: a tutorial. In: Proc of the 27th IEEE Conf on Decision and Control, vol. 2, pp. 1575–1584 (December 1988)

    Google Scholar 

  6. Khosla, P.: Categorization of parameters in the dynamic robot model. IEEE Transactions on Robotics and Automation 5(3), 261–268 (1989)

    Article  Google Scholar 

  7. Nakanishi, J., Cory, R., Mistry, M., Peters, J., Schaal, S.: Operational Space Control: A Theoretical and Empirical Comparison. The Int Journal of Robotics Research 27(6), 737–757 (2008)

    Article  Google Scholar 

  8. Vijayakumar, S., D’souza, A., Schaal, S.: Incremental online learning in high dimensions. Neural Comput. 17(12), 2602–2634 (2005)

    Article  MathSciNet  Google Scholar 

  9. Rasmussen, C., Williams, C.: Gaussian Processes for Machine Learning. MIT Press, Cambridge (2006)

    MATH  Google Scholar 

  10. Smola, A.J.: A tutorial on support vector regression. Statistics and Computing 14, 199–222 (2004)

    Article  MathSciNet  Google Scholar 

  11. Nguyen-Tuong, D., Peters, J., Seeger, M., Schölkopf, B., Verleysen, M.: Learning inverse dynamics: A comparison (2008), http://edoc.mpg.de/420029

  12. Sun de la Cruz, J., Kulić, D., Owen, W.: Learning inverse dynamics for redundant manipulator control. In: 2010 International Conf. on Autonomous and Intelligent Systems (AIS), pp. 1–6 (June 2010)

    Google Scholar 

  13. Nguyen-Tuong, D., Peters, J.: Using model knowledge for learning inverse dynamics. In: IEEE Int. Conf. on Robotics and Automation, pp. 2677–2682 (2010)

    Google Scholar 

  14. Nguyen-Tuong, D., Scholkopf, B., Peters, J.: Sparse online model learning for robot control with support vector regression. In: IEEE/RSJ Int. Conf. on Intelligent Robots and Systems, IROS 2009, pp. 3121–3126 (October 2009)

    Google Scholar 

  15. Schaal, S., Atkeson, C.G., Vijayakumar, S.: scalable techniques from nonparameteric statistics for real-time robot learning. Applied Intelligence 16(1), 49–60 (2002)

    Article  MATH  Google Scholar 

  16. Schaal, S., Atkeson, C.G.: Constructive incremental learning from only local information. Neural Computation 10(8), 2047–2084 (1998)

    Article  Google Scholar 

  17. Corke, P.I.: A robotics toolbox for MATLAB. IEEE Robotics and Automation Magazine 3(1), 24–32 (1996)

    Article  Google Scholar 

  18. Chiaverini, S., Sciavicco, L., Siciliano, B.: Control of robotic systems through singularities. Lecture Notes in Control and Information Sciences, vol. 162, pp. 285–295. Springer, Heidelberg (1991)

    MATH  Google Scholar 

  19. Peters, J., Schaal, S.: Learning to Control in Operational Space. The Int. Journal of Robotics Research 27(2), 197–212 (2008)

    Article  Google Scholar 

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de la Cruz, J.S., Kulić, D., Owen, W. (2011). Online Incremental Learning of Inverse Dynamics Incorporating Prior Knowledge. In: Kamel, M., Karray, F., Gueaieb, W., Khamis, A. (eds) Autonomous and Intelligent Systems. AIS 2011. Lecture Notes in Computer Science(), vol 6752. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21538-4_17

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  • DOI: https://doi.org/10.1007/978-3-642-21538-4_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21537-7

  • Online ISBN: 978-3-642-21538-4

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