Neuro-Fuzzy based Approach for Inverse Kinematics Solution of Industrial Robot Manipulators

Srinivasan Alavandar, M. J. Nigam


Obtaining the joint variables that result in a desired position of the robot end-effector called as inverse kinematics is one of the most important problems in robot kinematics and control. As the complexity of robot increases, obtaining the inverse kinematics solution requires the solution of non linear equations having transcendental functions are difficult and computationally expensive. In this paper, using the ability of ANFIS (Adaptive Neuro-Fuzzy Inference System) to learn from training data, it is possible to create ANFIS, an implementation of a representative fuzzy inference system using a BP neural network-like structure, with limited mathematical representation of the system. Computer simulations conducted on 2 DOF and 3DOF robot manipulator shows the effectiveness of the approach.


Neuro-Fuzzy, ANFIS, Robot manipulator, Inverse kinematics

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J. J. Craig, Introduction to Robotics: Mechanisms and Controls, Addison-Wesley, Reading, MA, 1989.

G. C. S. Lee, Robot Arm Kinematics, Dynamics and Control, Computer, Vol. 15, Issue. 12, pp. 62-79, 1982.

J. U. Korein, N. I. Balder, Techniques for generating the goal-directed motion of articulated structures, IEEE Computer Graphics and Applications, Vol. 2, Issue. 9, pp. 71-81, 1982.

Wang, L. X., Adaptive Fuzzy Systems and Control, Design and Stability Analysis, PTR Prentice Hall, 1994.

Wang, L. X., A Course in Fuzzy Systems and Control, PTR Prentice Hall, 1997.

Takagi T., and M. Sugeno, Fuzzy Identification of Systems and Its Applications to Modeling and Control, IEEE Transactions on Systems, Man, and Cybernetics, Vol. 5, No. 1, pp. 116-132, 1985.

Jang, J. S. R., C. T. Sun, E. Mizutani, Neuro-Fuzzy and Soft Computing, PTR Prentice Hall, 1997.

Nedungadi A, Application of fuzzy logic to solve the robot inverse kinematics problem, Proceeding of 4th World Conference on Robotics Research, Vol. 13, pp. 1-14, 1991.

David W. Howard and Ali Zilouchian, Application of Fuzzy Logic for the Solution of Inverse Kinematics and Hierarchical Controls of Robotic Manipulators, Journal of Intelligent and Robotic Systems, Vol. 23, pp. 217-247, 1998.

Sreenivas Tejomurtula, Subhash Kak, Inverse kinematics in robotics using neural networks, Information Sciences, Vol. 116, pp. 147-164, 1999.

Yang Ming Lu, Lu Guizhang, Li Jiangeng, An Inverse Kinematics Solution for Manipulators, Proceedings of IEEE, Vol. 4, pp. 400-404, 2001.

Tiberiu Vesselenyi, Simona Dzitac, Ioan Dzitac, Misu-Jan Manolescu, Fuzzy and Neural Controllers for a Pneumatic Actuator, International Journal of Computers, Communications and Control, Vol. 2, No. 4, pp. 375-387, 2007.

Srinivasan Alavandar, M. J. Nigam, Inverse Kinematics Solution of 3 DOF Planar Robot Using ANFIS, International Journal of Computers, Communications and Control, Supplementary Issue: Proceedings of ICCCC 2008, Vol. 3, pp. 150-155, 2008.

Li-Xin Wei, Hong-Rui Wang, Ying Li, A new solution for inverse kinematics of manipulator based on neural network, Proceedings of the Second International Conference on Machine Learning and Cybernetics, Xian, Vol. 3, No. 5, pp. 1201-1203, 2003.

Rasit Koker, Cemil Oz, Tark Cakar, Huseyin Ekiz, A study of neural network based inverse kinematics solution for a three-joint robot, Robotics and Autonomous Systems, Vol. 49, pp. 227-234, 2004.

J. S. R. Jang, ANFIS: Adaptive-Network-based Fuzzy Inference Systems, IEEE Transactions on Systems, Man, and Cybernetics, Vol. 23, No. 03, pp. 665-685, 1993.

H. Sadjadian, H. D. Taghirad, and A. Fatehi, Neural Networks Approaches for Computing the Forward Kinematics of a Redundant Parallel Manipulator, International Journal of Computational Intelligence, Vol. 2, No. 1, pp. 40-47, 2005.


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