Abstract
In this paper, fuzzy controller for the trajectory control of PUMA560 robot manipulator arm is approximated into a Bi-variate Polynomial using Genetic Algorithm. In the proposed method, initially Fuzzy PD+I controller is used for control of PUMA560. The input and output data points are collected from the Fuzzy PD controllers of individual joints. With these data points a bi-variate polynomial approximation function is obtained through interpolation process using genetic algorithm. This Fuzzy PD controller approximate is then employed and evaluated.
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References
Mazhari, S.A., Kumar, S.: PUMA 560 Optimal Trajectory Control using Genetic Algorithm, Simulated Annealing and Generalized Pattern Search Techniques. International Journal of Electrical, Computer and Systems Engineering 2(1), 71–80 (winter 2008)
Jantzen, J.: Foundations of Fuzzy Control. John Wiley & Sons Ltd., Chichester (2007) ISBN 978-0-470-02963-3
Sivanandam, S.N., Deepa, S.N.: Introduction to Genetic Algorithms. Springer, Heidelberg (2008) ISBN 978-3-540-73189-4
Mazhari, S.A., Kumar, S.: Heuristic Search Algorithms for Tuning PUMA 560 Fuzzy PID Controller. International Journal of Computer Science 3(4) (fall 2008)
Gasca, M., Sauer, T.: On the history of multivariate polynomial interpolation. Journal of Computational and Applied Mathematics 122, 23–35 (2000)
Gasca, M., Sauer, T.: Polynomial interpolation in several variables. Advances in Computational Mathematics 12(4), 377–410 (2000)
Alavandar, S., Nigam, M.J.: Fuzzy PD + I control of a six DOF robot manipulator. Industrial Robot: An International Journal 35(2), 125–132 (2008)
Kim, B.J., Chung, C.C.: Design of Fuzzy PD + I Controller for Tracking Control. In: Proceedings of the American Control Conference Anchorage, AK, May 8-1, pp. 2124–2129. AACC (2002)
Giriraj Kumar, S.M., Jain, R., Anantharaman, N., Dharmalingam, V., Sheriffa Begum, K.M.M.: Genetic Algorithm Based PID Controller Tuning for a Model Bioreactor. Indian Chemical Engineer 50(3), 214–226 (2008)
Terr, D.: Bivariate Polynomial, From: MathWorld–A Wolfram Web resource, http://mathworld.wolfram.com/BivariatePolynomial.html
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Mona Subramaniam, A., Manju, A., Nigam, M.J. (2010). Bi-variate Polynomial Approximation of Fuzzy Controller Using Genetic Algorithm for Trajectory Control of PUMA560. In: Das, V.V., Vijaykumar, R. (eds) Information and Communication Technologies. ICT 2010. Communications in Computer and Information Science, vol 101. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15766-0_5
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DOI: https://doi.org/10.1007/978-3-642-15766-0_5
Publisher Name: Springer, Berlin, Heidelberg
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