Synchronization of Chaotic systems via Nonlinear Control Design based on Lyapunov
Abstract
In this paper, a method nonlinear controller design is proposed for the synchronization of chaotic systems to the steadystate the slave system as well as to be tracking of any desired trajectory to be achieved in a systematic way. The
control analysis is based on the nonlinear control approach that interlaces the appropriate choice of a Lyapunov
function. The numerical simulation results show that the proposed controller can force the Slave system dynamics, to
move in the direction of the master system dynamics, on the other hand, the synchronization error will be
asymptotically to zero.
References
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systems, ” Phys Rev Lett, Vol. 64. pp. 821-824. 1990
Shih-Yu Li , Cheng-Hsiung Yang c, Shi-An Chen , Li-
Wei Ko , Chin-Teng Lin, “Fuzzy adaptive
synchronization of time-reversed chaotic systems
via a new adaptive control strategy”, Information
Sciences vol. 222, pp. 486-500, 2013
Huaqing Li n, XiaofengLiao,ChuandongLi,ChaojieLi,
“Chaos control and synchronization via a novel
chatter free sliding mode control strategy”,
Neurocomputing vol. 74, pp. 3212-3222, 2011
M.T. Yassen, “Chaos control of chaotic dynamical
systems using backstepping design”, Chaos, Solitons
and Fractals vol. 27, pp. 537-548, 2006
Chengrong Xiea, Yuhua Xu , Dongbing Tong ,
“Synchronization of time varying delayed complex
networksvia impulsive control”, Optik vol.125, pp.
3781–3787, 2014
S.M.Hamidzadeh, Arman Zarringhalam and Mahdi
Yaghoobi , “Hyper Chaos Control using Fuzzy
Sliding Mode controller with application to a
satellite motion”, International Journal of Computer
Applications, Vo.105 – No. 4, 2014
Hang Hua, Yang Liu, Jianquan Lu, “A new impulsive
synchronization criterion for T-S fuzzy model and
its applications ” Appl. Math. Modelling, (2013),
Haitao Yu , Jiang Wang , Bin Deng , Xile Wei , Yanqiu
Che , Y.K. Wongb, W.L. Chan, “Adaptive
backstepping sliding mode control for chaos
synchronization of two coupled neurons in the
external electrical stimulation”, Commun Nonlinear
Sci Numer Simulat 17 (2012) 1344–1354
Chen G, Ueta T, “Yet another chaotic attractor”. Int J
bifurcation chaos, 1999
Published
2016-05-31
How to Cite
hamidzadeh, s.Mohamad, & Ahmadian, vahid. (2016). Synchronization of Chaotic systems via Nonlinear Control Design based on Lyapunov. Majlesi Journal of Mechatronic Systems, 5(2). Retrieved from https://ms.majlesi.info/index.php/ms/article/view/263
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