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

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.

Authors:

• Ali Reza Mehrabian
• Caro Lucas

Keywords:

• Learning control systems
• emotional decision making
• nonlinear systems
• adaptive control.

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.