Emotional Learning based Intelligent Robust Adaptive Controller for Stable Uncertain Nonlinear Systems

Authors: Ali Reza Mehrabian, Caro Lucas

Abstract:

In this paper a new control strategy based on Brain Emotional Learning (BEL) model has been introduced. A modified BEL model has been proposed to increase the degree of freedom, controlling capability, reliability and robustness, which can be implemented in real engineering systems. The performance of the proposed BEL controller has been illustrated by applying it on different nonlinear uncertain systems, showing very good adaptability and robustness, while maintaining stability.

Keywords: Learning control systems, emotional decision making, nonlinear systems, adaptive control.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1330449

References:

[1] K. S. Narendra, K. Parthasarathy, "Identification and Control of Dynamical Systems Using Neural Networks," IEEE Transactions on Neural Networks, vol. 1, no. 1, March 1990.
[2] Y. G. Leu, W. Y. Wang, T. T. Lee, "Robust adaptive Fuzzy-Neural Controllers for Uncertain Nonlinear Systems," IEEE Transactions on Robotics and Automation, vol. 15, no. 5, October 1999.
[3] Hofmeyr, S., S. Forrest, "Architecture for an Artificial Immune System," Evolutionary Computation Journal, vol. 8, no. 4, pp. 443 - 473, winter 2000.
[4] J. Chen, E. Antipov, B. Lemieux, W. Cedeno, D. H. Wood, "DNA Computing Implementing Genetic Algorithms," Preliminary Proceedings DIMACS Workshop on Evolution As Computation, pp. 39- 49, DIMACS, Piscataway NJ, January 1999.
[5] D. G. Schwartz, G. J. Klir, H. W. Lewis, Y. Ezawa, "Application of Fuzzy Sets and Approximate Reasoning," IEEE Transactions on System, vol. 82, no. 4, April 1994.
[6] C. Locus, A. Abbaspour, A. Gholipour, B. N. Araabi, M. Fatourechi, "Enhancing the Performance of Neuro-Fuzzy Predictors by Emotional Leaning Algorithm," International Journal of Informatica, vol. 27, no. 2, pp. 165-174, June 2003.
[7] B. N. Araabi, N. Kehtarnavaz, C. Locus, "Restrictions Imposed by Fuzzy Extension Relations and Functions," International Journal of Fuzzy and Intelligent Systems, vol. 11, no. 2, pp.9-22, November 2001.
[8] P. K. Dash, S. K. Panda, T. H. Lee, J. X. Xu, A. Routray, "Fuzzy and Neural Controllers for Dynamic Systems: An Overview," IEEE Proceedings of International Conference on Power Electronics and Drive Systems, vol. 2, pp. 810-816, May 1997.
[9] P. Ekman, & R. J. Davidson, The Nature of Emotion: Fundamental Questions, Oxford University Press: New York, 1994.
[10] Jeremy R. Gray, Todd S. Braver, and Marcus E. Raichle, "Integration of emotion and cognition in the lateral prefrontal cortex," PNAS, vol. 99, no. 6, pp. 4115-4120, March 2002.
[11] J. Moren, C. Balkenius, "A Computational Model of Emotional Learning in The Amygdala," From animals to animals 6: Proceedings of the 6th International conference on the simulation of adaptive behavior, Cambridge, Mass., 2000. The MIT Press.
[12] Miha ─îerneti─ì, "Investigating the role of appraisal processes in emotion: benefits from the pyramid approach to cognitive neuroscience," multiconferenceproceedings, Cognitiveneuroscience, Information society 2001, Ljubljana.
[13] Hiroshi Yamasaki, Kevin S. LaBar, and Gregory McCarthy, "Dissociable prefrontal brain systems for attention and emotion," PNAS, vol. 99, no. 17, pp. 11447-11451, August 2002.
[14] Hirohide Ushida, Yuji Hirayama, Hiroshi Nakajima, "Emotion Model for Life-like Agent and Its Evaluation,", American Association for Artificial Intelligence,1998 (www.aaai.org).
[15] Mario Beauregard, Johanne Levesque, Pierre Bourgouin1, "Neural Correlates of Conscious Self-Regulation of Emotion," The Journal of Neuroscience, 2001, Vol. 21 RC165, pp. 1-6.
[16] C. Lucas, S. A. Jazbi, M. Fatourechi, M. Farshad, "Cognitive Action Selection with Neurocontrollers," Third Irano-Armenian Workshop on Neural Networks, August 2000, Yerevan, Armenia.
[17] Voigt, M. H., "Fuzzy evolutionary algorithms," June 1992, Technical Report 92-038, International Computer Science Institute (ICSI), 1947 Center Street, Suite 600, Berkeley, CA, 94704.
[18] Bergman, A., W. Burgard, A. Hemker, "Adjusting parameters of genetic algorithms by fuzzy control rules," New Computer Techniques in Physics Research III, World Scientific Press, 1994, pp. 235-240.
[19] Xu, X., H-G He, D. Hu, "Efficient Reinforcement Learning Using Recursive Least-Squares Methods," Journal of Artificial Intelligence Research, Vol. 16, 2002, pp. 259-292.
[20] K. Inoue, K. Kawabata, and H. Kobayashi, "On a Decision Making System with Emotion," 5th IEEE International Workshop on Robot and Human Communication, 1996, pp. 461-465.
[21] J. S. Bay, "Behavior Learning in Large Homogeneous Populations of Robots," IASTED International Conference on Artificial Intelligence and Soft Computing, pp. 137-140, July 1997.
[22] K. Miyazaki, N. Araki, E. Mogi, T. Kobayashi, Y. Shigematsu, M. Ichikawa, G. Matsumoto, "Brain Learning Control Representation In Nucleus Accumbens," 1998 Second International Conference On Knowledge-Based Intelligent Electronic Systems, pp. 21-23, April 1998, Australia.
[23] M. Fatourechi, C. Lucas, A. Khaki Sedigh, "Reducing Control Effort by means of Emotional Learning," Proceedings of 9th Iranian Conference on Electrical Engineering (ICEE2001), pp. 41-1 to 41-8, May, 2001, Tehran, Iran.
[24] Neese, R,. "Emotional Disorders in Evolutionary Perspective," British Journal of Medical Psychology (1998), Vol. 71, pp. 397-415.
[25] Greene, J. D., R. B. Sommerville, L. E. Nystorm, J. M. Darley, J. D. Cohen, "An MRI Investigation of Emotional Engagement in Moral Judgment," Science, Vol. 293, 14 Sep. 2001, pp. 2105-2108.
[26] Toda, M., "The Urge Theory of Emotion and Cognition," Emotion and urges, SCCS Technical Report, No.93-1-01, 1993.
[27] C. Lucas, D. Shahmirzadi, N. Sheikholeslami, "Introducing BELBIC: Brain Emotional Learning Based Intelligent Controller," International Journal of Intelligent Automation and Soft Computing, Vol. 10, No.1, pp. 11-22, 2002.
[28] C. Lucas, R. Langari, and D. Shahmirzadi, "Stabilization of a Control System with Sensor Time Delays Using Brain Emotional Learning," Special Session on Emotional Learning and Decision Fusion in Satisficing Control and Information Processing, Minisymposium on Satisficing, Multiagent, and Cyberlearning Systems, 5th International Symposium on Intelligent Automation and Control, World Automation Congress, WAC 2004, Seville, Spain, June 28- July1, 2004.
[29] C. Lucas, F. Rashidi, and J. Abdi, "Transient Stability Improvement in Power Systems via Firing Angle Control of TSCS Using Context Based Emotional Controller," In M. Jamshidi, L. Foulloy, A. Elkamel, and J. S. Jamshidi (eds.), Intelligent Automations and Control- Trends, Principles, and Applications. Albuquerque, NM, USA: TSI Press Series: Proceedings of WAC, 16, M. Jamshidi (series editor), 2004, pp. 37- 42.
[30] R. Mohammadi Milasi, C. Lucas, and B. N. Araabi, "Speed Control of an Interior Permanent Magnet Synchronous Motor Using BELBIC (Brain Emotional Learning Based Intelligent Controller)," In M. Jamshidi, L. Foulloy, A. Elkamel, and J. S. Jamshidi (eds.), Intelligent Automations and Control- Trends, Principles, and Applications. Albuquerque, NM, USA: TSI Press Series: Proceedings of WAC, 16, M. Jamshidi (series editor), 2004, pp. 280- 286.
[31] Leonard Meirovitch, Fundamentals of Vibrations, McGraw-Hill Book Co., 2001.
[32] Richard C. Dorf, Robert H. Bishop, Modern Control Systems, Addison- Wesley Pub., 1995.