GEOMETRICAL MODELLING USING MATRIX EXPONENTIAL FUNCTIONS FOR A SERIAL ROBOT STRUCTURE

Claudiu SCHONSTEIN, Iuliu NEGREAN, Nicolae PANC

Abstract


Abstract: In the paper, on the basis of formulations based on matrix exponential will be established the direct and inverse geometry equations. The matrix exponentials functions in robotics will be applied for a serial robot structure. Unlike classical algorithms, the application of the exponential matrix functions presents some advantages in determining the direct geometry equations. The results obtained in geometrical modeling, are representing input data for kinematical modeling, all those being important data in the study of dynamic behavior of any mechanical robot system.

Key words: Matrix exponentials functions, mathematical modeling, geometry, control.


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References


Negrean, I., Negrean, D. C., Matrix Exponentials to Robot Kinematics, 17th International Conference on CAD/CAM, Robotics and Factories of the Future, CARS&FOF 2001,Vol.2, pp. 1250-1257, Durban, South Africa, July 2001.

Negrean, I., Negrean, D. C., The Locating Matrix Algorithm in Robot Kinematics, Cluj-Napoca, October 2001, Acta Technica Napocensis, Series: Applied Mathematics and Mechanics.

Negrean, I., Schonstein, C., „Advanced studies on matrix exponentials in robotics,” Acta Technica Napocensis, Series: Applied Mathematics and Mechanics, Nr. 53, Vol. I, 2010, ISSN 1221-5872, pp. 13-18, Cluj-Napoca, Romania.

I., Negrean, Mecanică Avansată în Robotică, Editura UT PRESS, Cluj-Napoca, 2008, ISBN 978-973-662-420-9.

Bernstein, D.S., So, W.G., Some explicit Formulas for the Matrix Exponential, IEEE Transaction on Automatic Control, Vol. 38, 1993.

Park, F.C., Computational Aspects of the Product-of-Exponentials Formula for Robot Kinematics, IEEE Transaction on Automatic Control, Vol. 39, No. 3, 1994.

Schonstein, C., Contribuții în dezvoltarea unei structuri robotizate hibride, PhD Thesis, Cluj-Napoca, 2011.


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