Optimization of Inverse Kinematics of a 3R Robotic Manipulator using Genetic Algorithms

In this paper the direct kinematic model of a multiple applications three degrees of freedom industrial manipulator, was developed using the homogeneous transformation matrices and the Denavit - Hartenberg parameters, likewise the inverse kinematic model was developed using the same method, verifying that in the workload border the inverse kinematic presents considerable errors, therefore a genetic algorithm was implemented to optimize the model improving greatly the efficiency of the model.




References:
[1] Vargas E., R.G., Villarreal L., Reynoso J.M. y Mier-Maza R., Dise├▒o de
un Manipulador Industrial para Aplicaciones de Limpieza en
Subestaciones Eléctricas. Centro Metropolitano de Investigaci├│n en
Mecatr├│nica, ITESM Querétaro.
[2] Vargas,J.R.,G;Villarreal,L;Romero,O;Ituarte,J; Zamarripa,M;
Hernández,M; Hernández,D; Arciniega,S, Robot manipulador para
aplicación de recubrimiento en líneas de alta tensión.
[3] P. Kalra, P.B. Mahapatra, D.K. Aggarwal, An evolutionary approach for
solving the multimodal inverse kinematics problem of industrial robots,
Mechanism and Machine Theory, Volume 41, Issue 10, October 2006,
Pages 1213-1229, ISSN 0094-114X, DOI:
10.1016/j.mechmachtheory.2005.11.005.
[4] Za'er S. Abo-Hammour, Nasir M. Mirza, Sikander M. Mirza,
Muhammad Arif, Cartesian path generation of robot manipulators using
continuous genetic algorithms, Robotics and Autonomous Systems,
Volume 41, Issue 4, 31 December 2002, Pages 179-223, ISSN 0921-
8890, DOI: 10.1016/S0921-8890(02)00279-8.
[5] Maria da Graca Marcos, J.A. Tenreiro Machado, T.-P.Azevedo-
Perdicoulis, Trajectory planning of redundant manipulators using
genetic algorithms, Communications in Nonlinear Science and
Numerical Simulation, Volume 14, Issue 7, July 2009, Pages 2858-2869,
ISSN 1007-5704, DOI: 10.1016/j.cnsns.2008.10.014.
[6] Andreas C. Nearchou, Solving the inverse kinematics problem of
redundant robots operating in complex environments via a modified
genetic algorithm, Mechanism and Machine Theory, Volume 33, Issue
3, April 1998, Pages 273-292, ISSN 0094-114X, DOI: 10.1016/S0094-
114X(97)00034-7.
[7] P. Th. Zacharia, N. A. Aspragathos, Optimal robot task scheduling based
on genetic algorithms, Robotics and Computer-Integrated
Manufacturing, Volume 21, Issue 1, February 2005, Pages 67-79, ISSN
0736-5845, DOI: 10.1016/j.rcim.2004.04.003.
[8] Wei-Min Yun, Yu-Geng Xi, Optimum motion planning in joint space
for robots using genetic algorithms, Robotics and Autonomous Systems,
Volume 18, Issue 4, October 1996, Pages 373-393, ISSN 0921-8890,
DOI: 10.1016/0921-8890(96)00010-3.
[9] Shital S. Chiddarwar, N. Ramesh Babu, Comparison of RBF and MLP
neural networks to solve inverse kinematic problem for 6R serial robot
by a fusion approach, Engineering Applications of Artificial
Intelligence, Volume 23, Issue 7, October 2010, Pages 1083-1092, ISSN
0952-1976, DOI: 10.1016/j.engappai.2010.01.028.
[10] RasitKoker, Cemil Oz, TarikCakar, HuseyinEkiz, A study of neural
network based inverse kinematics solution for a three-joint robot,
Robotics and Autonomous Systems, Volume 49, Issues 3-4, Patterns and
Autonomous Control, 31 December 2004, Pages 227-234, ISSN 0921-
8890, DOI: 10.1016/j.robot.2004.09.010.
[11] Evangelosa Dermatas, Andreas Nearchou, Nikos Aspragathost, Errorback-
propagation solution to the inverse kinematic problem of redundant
manipulators, Robotics and Computer-Integrated Manufacturing,
Volume 12, Issue 4, December 1996, Pages 303-310, ISSN 0736-5845,
DOI: 10.1016/S0736-5845(96)00008-7.
[12] H.S. Lee, S.L. Chang, Development of a CAD/CAE/CAM system for a
robot manipulator, Journal of Materials Processing Technology, 140
(2003) 100-104, ISSN: 0924-0136
[13] Andueza, Luís y Aguirre, Iñaki, Three degree of freedom robotic
manipulator design for educational purpose, Revista Ciencia e
Ingeniería. Vol. 30, No. 1, pp. 3-14, diciembre-marzo, 2009. ISSN 1316-
7081
[14] Luis Felipe Giraldo, Edilson Delgado y Germán Castellanos, Cinemática
Inversa de un Brazo Robot Utilizando Algoritmos Genéticos, Av. Sist
Inf., Vol. 3 No. 1 pp. 29-34, Medellín, Junio 2006, ISSN 1657-7663
[15] Maria da Graça Marcos, J.A. Tenreiro Machado, T.-P. Azevedo-
Perdico├║lis Trajectory planning of redundant manipulators using
genetic algorithms, Commun Nonlinear Sci Numer Simulat, 14 (2009)
ISSN 2858-2869