Optimization of the Robot's Position Base Point by Using the Proper Algorithm and Iterative Pseudo Inverse Jacobian Neural Network Matrix Method

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In the robotized production one of the more important think is to choose the optimal solution to use the robots with respect an objective function which represents, for example, minimum time of motion during a application, or minimum consumption of energy, or maximum precision, or combination of these. Some objective functions could results from the specificity of the application like is the case of casting of forging, where the minimum of the accumulation of heat could be one of the optimization criteria. In the controlling of the space movement of the end effecter and the robot’s joints of the all robots from the applications, one of the most important think is to know, with the extreme precision, the joints relative displacements of all robots. One of the most precise method to solve the inverse kinematics problem in the robots with redundant chain is the complex coupled method of the neural network with Iterative Pseudo Inverse Jacobian Matrix Method. In this paper was used the proper coupled method Iterative Pseudo Inverse Jacobian Matrix Method (IPIJMM) with Sigmoid Bipolar Hyperbolic Tangent Neural Network with Time Delay and Recurrent Links (SBHTNN-TDRL) to establish the optimal position of the application point of the robot's base with respect simultaneously two objective functions: the extreme precision and the minimum of the movements time. The paper shown how can be changed the multi robots application in to one application with parallel robot structure with three independent robots, all of them with optimal location point with respect the obiective function. The presented method and the virtual instrumentations (VI) are generally and they can be used in all other robots application and for all other conventional and unconventional space curves.

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Edited by:

Adrian Olaru

Pages:

153-160

Citation:

A. Olaru et al., "Optimization of the Robot's Position Base Point by Using the Proper Algorithm and Iterative Pseudo Inverse Jacobian Neural Network Matrix Method", Applied Mechanics and Materials, Vol. 859, pp. 153-160, 2017

Online since:

December 2016

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[1] Kucuk, S., Bingul Z. Industrial Robotics: Theory, Modelling and Control Forward and Inverse Kinematics, edited by Sam Cubero, ISBN 3-86611-285-8 (2006).

DOI: https://doi.org/10.5772/5015

[2] De Wit, C. C.; Siciliano, B. &Bastin, G. Theory of Robot Control, Springer &Verlag, ISBN- 10: 3540760547, London, U.K. (1996).

[3] Jingguo Wang, Yangmin Li, and Xinhua Zhao. Inverse Kinematics and Control of a 7-DOF Redundant Manipulator Based on the Closed-Loop Algorithm, International Journal of Advanced Robotic Systems, Vol. 7, No. 4, ISSN 1729-8806, (2010) 1-9.

DOI: https://doi.org/10.5772/10495

[4] P.J. Alsina, N.S. Gehlot, Direct and inverse kinematics of robot manipulator based on modular neural networks, ICARCV, IEEE, 3 (1994) 1743-7.

[5] R. Manseur, D. Keith, A fast algorithm for reverse kinematics analysis of robot manipulator, International Journal of Robotics Research, 7 (3), (1998) 622-648.

[6] Li-Chun Wang, Chin Cheng Chen, A combined optimization method for solving the inverse kinematics problem of mechanical manipulators, IEEE Transaction on Robotics and Automation, vol. 7, nr. 4, (1991).

[7] Ch. Welman, Inverse kinematics and geometric constraints, thesis Master of Science, Simon Fraser University, Canada, (1989).

[8] D. Gorinevsky, T. Connoly, Comparations of some neural network and scattered data approximations: The inverse manipulator kinematics example, Neural computation, 3 (6) 521-542.

DOI: https://doi.org/10.1162/neco.1994.6.3.521

[9] L. Lee, Training feedforward neural networks: An algorithm giving improved generalization, Neural Networks, 10 (1), (1997) 61-68.

DOI: https://doi.org/10.1016/s0893-6080(96)00071-8

[10] C. Schittenkopf, G. Deco and W. Brauner, Two strategies to avoid over fitting in feed forward networks, Neural Networks, 10 (3), (1997) 505-516.

DOI: https://doi.org/10.1016/s0893-6080(96)00086-x

[11] L. Ciupitu, Complex Analytic Curves for Industrial Robot Trajectories, Proceedings of the 3-rd Asian Conference on Robotics and Its Application, Tokyo, Japan, pp.211-218.

[12] L. Ciupitu and I. Simionescu, Optimal Location of Robot Base With Respect to the Application Positions, Proceedings of the 2-nd International Conference on Optimization of the Robots and Manipulators, OPTIROB 2007, Predeal, Romania, 27-29 May 2006, ISBN 978-973-648-656-2, pp.57-62.

[13] L. Ciupitu, S. Brotac and S. Chivescu, Optimum Position of an Industrial Robot Used in Forge Applications, Proceedings of the 4-th International Conference on Optimization of the Robots and Manipulators, OPTIROB 2009, ISBN 2066-3854, Editors: Olaru, A., Ciupitu, L. and Olaru, S., Constanta, Mamaia, Romania, May 28-th– 31-st, 2009, pp.43-47.

[14] J. Denavit and R. S. Hartenberg, A Kinematic Notation for Lower-Pair Mechanisms Based on Matrices, Trans. of ASME, Journal of Applied Mechanics, 23: 215–221.

[15] J. T. Feddema, Kinematically optimal placement for minimum time coordinated motion, Robotics and Automation, 1996 IEEE International Conference on Volume 4, Issue, 22-28 Apr 1996, pp.3395-3400.

DOI: https://doi.org/10.1109/robot.1996.509229

[16] F. Kovacs and G. Cojocaru, Manipulatoare, roboţi şi aplicaţiile lor industriale, Editura Facla, Timişoara, (1982).

[17] A. Olaru, S. Olaru and N. Mihai, Proper Assisted Research Method Solving of the Robots Inverse Kinematics Problem, Applied Mechanics and Materials, vol. 555, 2014, 135-147.

DOI: https://doi.org/10.4028/www.scientific.net/amm.555.135

[18] A. Olaru, S. Olaru and L. Ciupitu, Assisted research of the neural network by back propagation algorithm, OPTIROB 2010 International Conference, Calimanesti, Romania, May 28-th– 30-th, 2010, The Reserch Publishing Services Singapore Book, ISBN 978-981-08-5840-7, Editors: A. Olaru, L. Ciupitu, and S. Olaru, pp.194-200, (2010).

DOI: https://doi.org/10.4028/www.scientific.net/amr.463-464.1151

[19] I. Simionescu, V. Moise and L. Ciupitu, Sinteza funcţiilor de transmitere ale mecanismelor, Journal of Romanian Academy Studii şi cercetări de mecanică aplicată, tome 55, no. 5-6, 1996, pp.409-426.

[20] I. Simionescu and L. Ciupitu, On the Optimisation of Industrial Robot Motions, T.C.M.M. Journal of EdituraTehnică, nr. 28 (special number with the Proceedings of the Seventh IFToMM International Symposium on Linkages and Computer Aided Design Methods – Theory and Practice of Mechanisms – SYROM '97), Vol. 2, 1997, pp.333-338.

[21] I. Simionescu and L. Ciupitu, Optimum Programming of Industrial Robot Trajectories, Proceedings of the 3-rd Asian Conference on Robotics and Its Application, Tokyo, Japan, 29- 30 October 1997, pp.219-224.

[22] L. Tian and C. Collins, Optimal placement of a two-link planar manipulator using a genetic algorithm, Robotica Journal, Cambridge University Press, Issue 02 - Mar 2005, Volume 23, pp.169-176.

DOI: https://doi.org/10.1017/s0263574705001694

[23] Olaru, A, Olaru, S. and Mihai, N., Proper Assisted Research Method Solving of the Robots Inverse Kinematics Problem, Applied Mechanics and Materials, 555 (2014) 135-147.

DOI: https://doi.org/10.4028/www.scientific.net/amm.555.135

[24] A. Olaru, S. Olaru, L. Ciupitu, Assisted research of the neural network by back propagation algorithm, OPTIROB 2010 International Conference, Calimanesti, Romania, The Reserch Publishing Services Singapore Book, (2010) 194-200.

DOI: https://doi.org/10.4028/www.scientific.net/amr.463-464.1151

[25] T. Mikolajczyk, A. Olaru & P. Krainski, Adaptive Control System for Drill Machine Applied Mechanics and Materials, 436 (2013) 445-450.

DOI: https://doi.org/10.4028/www.scientific.net/amm.436.445

[26] T. Malinowski, T. Mikolajczyk & A. Olaru, Control of Articulated Manipulator Model using ATMEGA16. Applied Mechanics and Materials, 555 (2014) 147-154.

DOI: https://doi.org/10.4028/www.scientific.net/amm.555.147

[27] T. Mikolajczyk, T. Fas, T. Malinowski, L. Romanowski., Prototype Model of Walking Robot. Applied Mechanics and Materials, 613 (2014) 21-28.

DOI: https://doi.org/10.4028/www.scientific.net/amm.613.21

[28] T. Mikolajczyk, D. Dorsz & L. Romanowski, Design and Control System of Parallel Kinematics Manipulator. Applied Mechanics and Materials, 436 (2013) 390-397.

DOI: https://doi.org/10.4028/www.scientific.net/amm.436.390

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