Synchronization New Chaotic System Using Optimal Nonlinear Controller

محورهای موضوعی : Majlesi Journal of Telecommunication Devices

Ali Askar Eslampanah ¹ ()
Omid Aghababai ² ()
Sadegh Rahmati ³ ()

تاریخ دریافت : 1392/01/27 تاریخ پذیرش : 1392/01/27 تاریخ انتشار : 1391/12/11

کلید واژه: en,

چکیده مقاله :

Chaos is one of the most important phenomenons based on complex nonlinear dynamics . In this paper , we investgate chaos synchroniazation problems of a new 3D chaotic system.Based on the Lyapunov stability theory , a nonlinear control approach is presented for the synchronization between tow three-dimensional chaotic system . This system is a new three-dimensinal autonomous chaotiv system which is different from the other existing attractors and has larger Lyapunov exponent than the Lorenz system. In order to optimize this controller ,Genetic algorithm is applied. Genetic algorithm detects the best optimized values for gain of this controller. Fitness function is also considered as Total Square Error between master and slave system . Numerical simulations show the effectiveness of the presented controller.

منابع و مأخذ:

[1]: Xiuchun Li, Wei Xu, Ruihong Li, “Chaos synchronization of the energy resource system”, Chaos, Solutions and Fractals 40 (2009) 642–652.

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

[3]: Yuen Wu, Xiaoping Zhou, Jiao Chen, BeiHui, “Chaos synchronization of a new 3D chaotic system”, Chaos, Solutions and Fractals 42 (2009) 1812–1819.

[4]:B.A. Idowu, U.E. Vincent, A.N. Njah, “Synchronization of chaos in non-identical parametrically excited systems”, Chaos, Solutions and Fractals 39 (2009) 2322–2331.

[5]: Gouging Cai , Hoaxing Wang, and Song Zheng, “Adaptive Function Projective Synchronization of Two Different Hyper chaotic Systems with Unknown Parameters”, CHINESE JOURNAL OF PHYSICS, VOL. 47, NO. 5, OCTOBER, 2009.

[6] Bin Liu, Yiming Zhou, Min Jiang, Zengke Zhang, “Synchronizing chaotic systems using control based on tree diagonal structure”, Chaos, Solutions and Fractals 39 (2009) 2274–2281.

[7]: Bo Wang, Guangjun Wen, “On the synchronization of uncertain master–slave chaotic systems with disturbance”, Chaos, Solutions and Fractals 41 (2009) 145–151.

[8]: Samuel Bowing, “Adaptive synchronization of chaotic systems with unknown bounded uncertainties via back stepping approach”, Springer Science + Business Media B.V, Nonlinear Din (2007) 49:59–70.

[9] Song Zheng, Jiang Xu, “Modified Projective Synchronization of a New Hyper chaotic System”, Journal of Information and Computing Science, Vol. 4, No. 2, 2009, pp. 107-114.

[10]: M.T. Yassen, “Synchronization hyper chaos of hyper chaotic systems”, Chaos, Solutions and Fractals 37 (2008) 465–475.

[11]: Yi Chai, Liping Chen and Ranchao Wu, “Inverse Projective Synchronization between Two Different Hyper chaotic Systems with Fractional Order”, Journal of Applied Mathematics Volume 2012, Article ID 762807, 18 pages.

[12] M. Mossa Al- sawalha and Awni Fayez Al-Dababseh, “Nonlinear Anti-Synchronization of Two Hyper chaotic Systems”, Applied Mathematical Sciences, Vol. 5, 2011, no. 38, 1849 – 1856.

[13] Huibin Lu, Xia Xiao, “Analysis of A Novel Autonomous 3-D Chaotic System”, International Journal of Advancements in Computing Technology(IJACT), Volume4, Number1, January 2012.

[14] Ali Reza Sahab, Masoud Taleb Ziabari, Seyed Amin Sadjadi Alamdari, "Chaos Control via Optimal Generalized Back stepping Method", International Review of Electrical Engineering (I.R.E.E), Vol.5, n.5.