Genetic Algorithm Based Optimal Control for a 6-DOF Non Redundant Stewart Manipulator
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 32799
Genetic Algorithm Based Optimal Control for a 6-DOF Non Redundant Stewart Manipulator

Authors: A. Omran, G. El-Bayiumi, M. Bayoumi, A. Kassem

Abstract:

Applicability of tuning the controller gains for Stewart manipulator using genetic algorithm as an efficient search technique is investigated. Kinematics and dynamics models were introduced in detail for simulation purpose. A PD task space control scheme was used. For demonstrating technique feasibility, a Stewart manipulator numerical-model was built. A genetic algorithm was then employed to search for optimal controller gains. The controller was tested onsite a generic circular mission. The simulation results show that the technique is highly convergent with superior performance operating for different payloads.

Keywords: Stewart kinematics, Stewart dynamics, task space control, genetic algorithm.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1060229

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1849

References:


[1] Nag, I., and Chong, W., "High Speed Tracking Control of Stewart Platform Manipulator via Enhanced Sliding Mode Control," IEEE International Conference on Robotics & Automation, Leuven, Belgium, pp. 2716-2721. May 1998.
[2] Yung, T., Yu-Shin, C., and Ho-Chin J, "Modeling and Control for a Gough-Stewart Platform CNC Machine," Journal of Robotic Systems, No. 2, Vol. 11, pp 609-623. June 2004.
[3] Dietmaier, P., "The Stewart-Gough Platform of General Geometry Can Have 40 Real Postures," Advances in Robot Kinematics: Analysis and Control, Kluwer Academic Publishers, pp. 7-16. 1998.
[4] Pratik, J., and Sarah, Y., "A Hybrid Strategy to Solve the Forward Kinematics Problem in Parallel Manipulators," IEEE Trans. Robot and Automat. Vol. 21, pp. 18-25. February 2005.
[5] Sadjadian, H., and Taghirad, H., "Comparison of Different Methods for Computing the Forward Kinematics of a Redundant Parallel Manipulator," Journal of Intelligent and Robotic Systems, 2005.
[6] Sadjadian, H., Taghirad, H., and Fatehi, A., "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.
[7] Lian, B., Jeha, R., Sung-Gaun, K., and Sun-Kyu, L., "A Closed-Form Solution to the Direct Kinematics of Nearly General Parallel Manipulators with Optimally Located Three Linear Extra Sensors," IEEE Trans. Robot and Automat. Vol. 17, pp 148-156. April 2001.
[8] Liu, K., Fitzgerald, M., and Lewis, F., "Kinematic Analysis of a Stewart Platform Manipulator," IEEE Trans. Industrial Electronics, Vol. 40, No. 2, pp. 282-293. 1993.
[9] Liu, K., Lewis, F., and Fitzgerald, M., "Solution of Nonlinear Kinematics of a Parallel-Link Constrained Stewart Platform Manipulator," Circuits, Systems, and Signal Proc., Special Issue on "Implicit and Robust Systems," Vol. 13, No. 2-3, pp. 167-183. 1994.
[10] Pasquale, C., Francois, P., Lorenzo, S., and Bruno, S., "Robust Design of Independent Joint Controllers with Experimentation on a High-Speed Parallel Robot," IEEE Trans on Industrial Electronics, Vol. 40, pp. 393- 403. August, 1993.
[11] Li, D., and Salcudean, S., "Modeling, Simulation, and Control of a Hydraulic Stewart Platform," IEEE Int. Conf on Robotics and Automation, Albuquerque, New Mexico, April 1997.
[12] Fang, C., Hung-Hsiang, C., and Chin-Teng, L., "Fuzzy Control of a Sixdegree Motion Platform with Stability Analysis," IEEE SMC Conference, Vol. l 1, pp. 325-330. October, 1999.
[13] Su, Y., Duan, Y., Zheng, C., Zhang, Y., Chen, G., and Mi, J., "Disturbance-Rejection High-Precision Motion Control of a Stewart Platform," IEEE Trans. on control systems technology, Vol. 12, pp364- 374, May 2004.
[14] Sciavicco, L., and Siciliano, B., "Modeling and Control of Robot Manipulators," Springer, Second Edition. April, 2001.
[15] M.-J. Liu, C.-X. Li, and C.-N. Li, "Dynamics Analysis of the Gough- Stewart Platform Manipulator," IEEE Trans. Robot and Automat, Vol. 16, pp. 94-98. February, 2000.
[16] Dasgupta, M., and Mruthyunjaya, T., "A Newton-Euler Formulation for the Inverse Dynamics of the Stewart Platform Manipulator," Mech. Mach. Theory, Vol. 33, No. 8, pp. 1135-1152. November, 1998.
[17] Tsai, L., "Solving the inverse dynamics of a Stewart-Gough Manipulator by The Principle of Virtual Work," J. Mech. Des., Vol. 122, pp. 3-9. March, 2000.
[18] Khalil, W., and Guegan, S., "Inverse and Direct Dynamic Modeling of Gough-Stewart Robots," IEEE Trans. Robot and Automat, Vol. 20, pp. 754-761. August, 2004.
[19] Fu, S., and Yao, Y., "Comments on "A Newton-Euler Formulation for the Inverse Dynamics of the Stewart Platform Manipulator," Mech. Mach. Theory, Vol. 8, pp. 1-3. Jan, 2006.
[20] Holland, J., "Adaptation in Natural and Artificial Systems," The University of Michigan Press. 1975.
[21] Goldberg, E., "The Design of Innovation: Lessons from and for Competent Genetic Algorithms," Boston, Kluwer Academic Publishers, 2002.
[22] John, J., "Optimization of Control Parameters for Genetic Algorithms," IEEE Trans on System, Man, and Cybernetics, Vol. 16, No. 1, pp. 566- 574. 1986.
[23] Haruhisa K, and Geng L, "Gain Tuning in Discrete-Time Adaptive Control for Robots," SICE Annual Conference in Fukui. August, 2003.
[24] Faa-Jeng, L, and Chih-Hong, L., "On-line Gain Tuning Using RFNN for Linear Synchronous Motor," IEEE, PESC, Vol. 2, pp. 766-771. June, 2001.
[25] Baogang, H., Senior, M., George, K., and Raymond, G., "New Methodology for Analytical and Optimal Design of Fuzzy PID Controllers," IEEE Tran on Fuzzy System, Vol. 7, pp 521-539. October, 1999.
[26] Chris, M., "Genetic Algorithms for Auto-Tuning Mobile Robot Motion Control," Res. Lett. Inf. Math. Sci, Vol. 3, pp. 129-134. 2002.