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International Journal of Information Technology and Computer Science(IJITCS)

ISSN: 2074-9007 (Print), ISSN: 2074-9015 (Online)

Published By: MECS Press

IJITCS Vol.7, No.2, Jan. 2015

Synchronization New 3D Chaotic System Using Brain Emotional Learning Based Intelligent Controller

Full Text (PDF, 621KB), PP.80-87


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Author(s)

Masoud Taleb Ziabari, Ali Reza Sahab, Seyedeh Negin Seyed Fakhari

Index Terms

New 3D Chaotic System, Synchronization, BELBIC, Genetic Algorithm, Cuckoo Optimization Algorithm, Particle Swarm Optimization Algorithm, Imperialist Competitive Algorithm, Cost Function

Abstract

One of the most important phenomena of some systems is chaos which is caused by nonlinear dynamics. In this paper, the new 3 dimensional chaotic system is firstly investigated and then utilizing an intelligent controller which based on brain emotional learning (BELBIC), this new chaotic system is synchronized. The BELBIC consists of reward signal which accept positive values. Improper selection of the parameters causes an improper behavior which may cause serious problems such as instability of system. It is needed to optimize these parameters. Genetic Algorithm (GA), Cuckoo Optimization Algorithm (COA), Particle Swarm Optimization Algorithm (PSO) and Imperialist Competitive Algorithm (ICA) are used to compute the optimal parameters for the reward signal of BELBIC. These algorithms can select appropriate and optimal values for the parameters. These minimize the Cost Function, so the optimal values for the parameters will be founded. Selected cost function is defined to minimizing the least square errors. Cost function enforce the system errors to decay to zero rapidly. Numerical simulation results are presented to show the effectiveness of the proposed method.

Cite This Paper

Masoud Taleb Ziabari, Ali Reza Sahab, Seyedeh Negin Seyed Fakhari,"Synchronization New 3D Chaotic System Using Brain Emotional Learning Based Intelligent Controller", International Journal of Information Technology and Computer Science(IJITCS), vol.7, no.2, pp.80-87, 2015. DOI: 10.5815/ijitcs.2015.02.10

Reference

[1]L.M. Pecora, T.L. Carroll, “Synchronization in chaotic systems”, Phys. Rev. Lett. 64 (1990) 821-824.

[2]Hamed Kebriaei, M. Javad Yazdanpanah, Robust adaptive synchronization of different uncertain chaotic systems subject to input nonlinearity, Commun Nonlinear Sci Numer Simulat 15 (2010) 430–441.

[3]V. Sundarapandian , S. Sivaperumal, Global Chaos Synchronization of the Hyperchaotic Qi Systems by Sliding Mode Control, International Journal on Computer Science and Engineering (IJCSE), Vol. 3 No. 6 June 2011.

[4]Li-Xin Yang, Yan-Dong Chu, Jian-Gang Zhang, Xian-Feng Li, Ying-Xiang Chang, Chaos synchronization in autonomous chaotic system via hybrid feedback control, Chaos, Solitons and Fractals 41 (2009) 214–223.

[5]Xiaohui Xu, Generalized function projective synchronization of chaotic systems for secure communication, Journal on Advances in Signal Processing 2011, 2011:14.

[6]Ranchao Wu, Junlian Liu, Isochronal function projective synchronization between chaotic and time-delayed chaotic systems, Advances in Difference Equations 2012, 2012:37.

[7]V. Sundarapandian, R. Karthikeyan, Global Chaos Synchronization of Hyperchaotic Lorenz and Hyperchaotic Chen Systems by Adaptive Control, International Journal on Computer Science and Engineering (IJCSE), Vol. 3 No. 6 June 2011.

[8]M. Shahiri, R. Ghaderi, A. Ranjbar N, S.H. Hosseinnia, S. Momani, Chaotic fractional-order Coullet system: Synchronization and control approach, Commun Nonlinear Sci Numer Simulat 15 (2010) 665–674.

[9]Chih-Min Lin, Ya-Fu Peng, Ming-Hung Lin, CMAC-based adaptive backstepping synchronization of uncertain chaotic systems, Chaos, Solitons and Fractals 42 (2009) 981–988.

[10]A.R.Sahab, M.Taleb Ziabari, Adaptive Generalization Backstepping Method to Synchronize T-System, Recent Advances in Computers, Communications, Applied Social Science and Mathematics, ISBN: 978-1-61804-030-5.

[11] Lucas C, Shahmirzadi D, and Sheikholeslami N, “Introducing BELBIC: Brain emotional learning based intelligent control”, Int. J. Intell. Automat. Soft Comput. 2004; 10(1): 11–22.

[12]Tole Sutikno, Mochammad Facta, G.R. Arab Markadeh, “Editorial Progress in Artificial Intelligence Techniques: from Brain to Emotion”, TELKOMNIKA, Vol.9, No.2, August 2011, pp. 201-202.

[13]ALI REZA MEHRABIAN, CARO LUCAS, “INTELLIGENT ADAPTIVE CONTROL OF NON-LINEAR SYSTEMS BASED ON EMOTIONAL LEARNING APPROACH”, International Journal on Artificial Intelligence Tools,Vol. 16, No. 1 (2007) 69–84.

[14] Amir Mehdi Yazdani, Somaiyeh Mahmoudzadeh, “Emotional Learning as a Cognitive Approach for High Performance Control of Permanent Magnet Stepper Motor”, Int. J. Comp. Tech. Appl., Vol 2 (4), 1008-1015.

[15]Rasoul Mohammadi Milasi, Mohammad Reza Jamali, and Caro Lucas, “Intelligent Washing Machine: A Bioinspired and Multi-objective Approach”, International Journal of Control, Automation, and Systems, vol. 5, no. 4, pp. 436-443, August 2007.

[16]Hossein Rouhani, Arash Sadeghzadeh, Caro Lucas and Babak Nadjar Araabi, “Emotional learning based intelligent speed and position control applied to neurofuzzy model of switched reluctance motor”, Control and Cybernetics vol. 36 (2007) No. 1.

[17]Mohammad Reza Jamali, Arash Arami, Babak Hosseini, Behzad Moshiri and Caro Lucas, “REAL TIME EMOTIONAL CONTROL FOR ANTI-SWING AND POSITIONING CONTROL OF SIMO OVERHEAD TRAVELING CRANE”, International Journal of Innovative Computing, Information and Control, Volume 4, Number 9, September 2008 pp. 2333—2344.

[18]Hossein Rouhani, Mahdi Jalili, Babak N. Araabi, Wolfgang Eppler, Caro Lucas, “Brain emotional learning based intelligent controller applied to neurofuzzy model of micro-heat exchanger”, Expert Systems with Applications 32 (2007) 911–918.

[19]Ali Reza Mehrabian, and Caro Lucas, “Emotional Learning based Intelligent Robust Adaptive Controller for Stable Uncertain Nonlinear Systems”, INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE VOLUME 2 NUMBER 4 2005 ISSN 1304-4508.

[20]Ali Reza Mehrabian, Caro Lucas, Jafar Roshanian, “Aerospace launch vehicle control: an intelligent adaptive approach”, Aerospace Science and Technology 10 (2006) 149–155.

[21]Saeed Jafarzadeh, Rooholah Mirheidari, Mohammad Reza Jahed Motlagh, Mojtaba Barkhordari, “Designing PID and BELBIC Controllers in Path Tracking Problem”, Int. J. of Computers, Communications & Control, ISSN 1841-9836, E-ISSN 1841-9844,Vol. III (2008), Suppl. issue: Proceedings of ICCCC 2008, pp. 343-348.

[22]Saeed Jafarzadeh, Rooholah Mirheidari, Mohammad Reza Jahed Motlagh, Mojtaba Barkhordari, “Intelligent Autopilot Control Design for a 2-DOF Helicopter Model”, Int. J. of Computers, Communications & Control, ISSN 1841-9836, E-ISSN 1841-9844, Vol. III (2008), Suppl. issue: Proceedings of ICCCC 2008, pp. 337-342.

[23]Chunlai Li, Hongmin Li, Yaonan Tong, "Analysis of a novel three-dimensional chaotic system ", article in press, Optik-Int. J. Light Electron Opt. (2012), http://dx.doi.org/10.1016/j.ijleo.2012.04.005.

[24]Ahmed BELHANI, Khaled BELARBI and Fateh MEHAZEM. DESIGN OF MULTIVARIABLE BACKSTEPPING CONTROLLER USING GENETIC ALGORITHM. ACSE 05 Conference, 19-21 December 2005, CICC, Cairo, Egypt.

[25]Michalewicz, Z. Genetic Algorithm + Data Structures = Evolution Programs, 2nd Edition, Springler Verlag 1994.

[26]Ramin Rajabioun, Cuckoo Optimization Algorithm, Applied Soft Computing 11 (2011) 5508–5518.

[27]V. Rashtchi, H. Shayeghi, M. Mahdavi, A. Kimiyaghalam, E. Rahimpour, Using an Improved PSO Algorithm for Parameter Identification of Transformer Detailed Model, International Journal of Electrical Power and Energy Systems Engineering 1;3 © www.waset.org Summer 2008.

[28]Esmaeil Atashpaz Gargari & Caro Lucas, Imperialist Competitive Algorithm: An Algorithm for Optimization Inspired by Imperialistic Competition , 2007 IEEE Congress on Evolutionary Computation (CEC 2007) . pp 4661 - 4667.