Comparative Study of Some Adaptive Fuzzy Algorithms for Manipulator Control

Authors: Sudeept Mohan, Surekha Bhanot

Abstract:

The problem of manipulator control is a highly complex problem of controlling a system which is multi-input, multioutput, non-linear and time variant. In this paper some adaptive fuzzy, and a new hybrid fuzzy control algorithm have been comparatively evaluated through simulations, for manipulator control. The adaptive fuzzy controllers consist of self-organizing, self-tuning, and coarse/fine adaptive fuzzy schemes. These controllers are tested for different trajectories and for varying manipulator parameters through simulations. Various performance indices like the RMS error, steady state error and maximum error are used for comparison. It is observed that the self-organizing fuzzy controller gives the best performance. The proposed hybrid fuzzy plus integral error controller also performs remarkably well, given its simple structure.

Keywords: Hybrid fuzzy, Self-organizing, Self-tuning, Trajectory tracking.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1062218

References:

[1] Luh, J. Y. S., ÔÇÿConventional Controller Design for Industrial Robots - A Tutorial-, IEEE Transactions on Systems, Man, and Cybernetics, 1983, Vol. SM- 13, no. 3, Pages: 298-316.
[2] Hsia, T., ÔÇÿAdaptive control of robot manipulators-A review-, Proceedings IEEE International Conference on Robotics and Automation, April 1986, Vol. 3, Pages: 183 - 189.
[3] Tosunoglu, S., Tesar, D., ÔÇÿState of the Art in Adaptive control of robotic systems-, IEEE Transactions on Aerospace and Electronic Systems, Sept. 1988, Vol. 24, Issue: 5, Pages: 552 - 561.
[4] Er, M.J., ÔÇÿRecent developments and futuristic trends in robot manipulator control-, Proceedings IEEE Asia-Pacific Workshop on Advances in Motion Control, July 1993 Pages: 106 - 111.
[5] Banerjee, S., Peng Yung Woo, ÔÇÿFuzzy logic control of robot manipulator-, Proceedings Second IEEE Conference on Control Applications, Sept. 1993, Vol.1, Pages:87 - 88.
[6] Zhou, J., Coiffet, P., ÔÇÿFuzzy Control of Robots-, Proceedings IEEE International Conference on Fuzzy Systems, March 1992, Pages: 1357 - 1364.
[7] Byung Kook Yoo, Woon Chul Ham, ÔÇÿAdaptive Control of Robot Manipulator Using Fuzzy Compensator-, IEEE Transactions on Fuzzy Systems, April 2000, Vol. 8, Issue: 2, Pages:186 - 199.
[8] Purwar, S., Kar, I.N., Jha, A.N., ÔÇÿAdaptive control of robot manipulators using fuzzy logic systems under actuator constraints-, Proceedings of IEEE International Conference on Fuzzy Systems, 25-29 July 2004, Vol 3, Pages: 1449 - 1454.
[9] Nagrath, I.J., Pahade Paras Shripal, Chand, A., ÔÇÿDevelopment and implementation of intelligent control strategy for robotic manipulator- IEEE/IAS International Conference on Industrial Automation and Control, 1995, Pages: 215 - 220.
[10] Kazemian, H.B., ÔÇÿThe Self Organizing Fuzzy PID Controller-, IEEE World Congress on Computational Intelligence., 4-9 May 1998, Vol. 1, Pages:319 - 324.
[11] Koh, K.C., Cho, H.S., Kim, S.K., Jeong, I.S., ÔÇÿApplication of a selforganizing fuzzy control to the joint control of a Puma-760 robot-, Proceeding of IEEE International Workshop on Intelligent Robots and Systems, 3-6 July 1990, vol.1, Pages: 537 - 542.
[12] Jantzen J., ÔÇÿThe Self-Organizing Fuzzy Controller-, Tech. report no 98-H 869 (soc), Technical University of Denmark, 19 Aug 1998.
[13] Llama, M.A., Kelly, R., Santibanez, V., ÔÇÿControl of Robot Manipulators via fuzzy self tuning-, IEEE Transactions on Systems, Man and Cybernetics, Feb. 2000, Part B, , Vol. 30 , Issue: 1 ,Pages:143 - 150.
[14] Chatterjee, A., Watanabe, K., ÔÇÿAn adaptive fuzzy strategy for motion control of robot manipulators- ACM Journal of Soft Computing, March 2005, Vol. 9, Issue: 3, Pages: 185 - 193.
[15] Mudi, R.K., Pal, N.R., ÔÇÿA robust self-tuning scheme for PI- and PD-type fuzzy controllers-, IEEE Transactions on Fuzzy Systems, Feb. 1999, Vol. 7, Issue: 1, Pages: 2 - 16.
[16] Lin, C., Mon, Y., ÔÇÿHybrid adaptive fuzzy controllers with application to robotic systems-, Fuzzy sets and systems, 2003, Vol. 139, Pages: 151- 165.
[17] Sun, Y., Joo, M., ÔÇÿHybrid Fuzzy Control of Robotics Systems-, IEEE Transactions on Fuzzy Systems, Dec. 2004, Vol. 12, Issue 6, Pages: 755 - 765.