Abstract
This article presents a method of designing the neural network for the identification of the robot model in a form of Lagrange-Euler equations. It allows to identify the positive definite inertia matrix. A proposed design of a neural network structure is based on the Cholesky decomposition.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Johnson, C.R.: Positive Definite Matrices. Amer. Math. Monthly 77, 259–264 (1970)
Fu, K.S., Gonzalez, R.C., Lee, C.S.G.: Robotics: control, sensing, vision and inteligence. McGraw-Hill Book Company, New York (1987)
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)
Osowski, S.: Neural networks for information processing. OWPW, Warsaw (1994) (in Polish)
Corke, P.I., Armstrong-Hélouvry, 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)
Golub, G.H., Van Loan, C.F.: Matrix computations, 3rd edn. Johns Hopkins University Press, Baltimore (1996)
Lewis, F.L.: Neural network control of robot manipulators and nonlinear systems. Taylor & Francis, Abington (1999)
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, vol. 2 (2006)
Możaryn, J., Kurek, J.E.: Using Tikhonov regularization to improve estimation of robot position based on uncertain robot model obtained by neural network. Pomiary Automatyka Kontrola 3 (2009)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Możaryn, J., Kurek, J.E. (2010). 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) Artifical Intelligence and Soft Computing. ICAISC 2010. Lecture Notes in Computer Science(), vol 6114. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13232-2_39
Download citation
DOI: https://doi.org/10.1007/978-3-642-13232-2_39
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-13231-5
Online ISBN: 978-3-642-13232-2
eBook Packages: Computer ScienceComputer Science (R0)