An improved impulsive control approach to robust lag synchronization between two different chaotic systems

In this paper, a novel robust impulsive lag synchronization scheme for different chaotic systems with parametric uncertainties is proposed. Based on the theory of impulsive functional differential equations and a new differential inequality, some new and less conservative sufficient conditions are established to guarantee that the error dynamics can converge to a predetermined region. Finally, some numerical simulations for the Lorenz system and Chen system are given to demonstrate the effectiveness and feasibility of the proposed method. Compared with the existing results based on so-called dual-stage impulsive control, the derived results reduce the complexity of impulsive controller, moreover, a larger stable region can be obtained under the same parameters, which can be shown in the numerical simulations finally.

[1]  Uchechukwu E. Vincent,et al.  Control and synchronization of chaos in RCL-shunted Josephson junction using backstepping design , 2008 .

[2]  Robin J. Evans,et al.  Adaptive Observer-Based Synchronization of Chaotic Systems With First-Order Coder in the Presence of Information Constraints , 2008, IEEE Transactions on Circuits and Systems I: Regular Papers.

[3]  Xuyang Lou,et al.  Synchronization of chaotic recurrent neural networks with time-varying delays using nonlinear feedback control , 2009 .

[4]  Nastaran Vasegh,et al.  Projective synchronization of chaotic time-delayed systems via sliding mode controller , 2009 .

[5]  Huaguang Zhang,et al.  Adaptive Synchronization Between Two Different Chaotic Neural Networks With Time Delay , 2007, IEEE Transactions on Neural Networks.

[6]  Huaguang Zhang,et al.  Robust Global Exponential Synchronization of Uncertain Chaotic Delayed Neural Networks via Dual-Stage Impulsive Control , 2010, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[7]  R. Tang,et al.  An extended active control for chaos synchronization , 2009 .

[8]  Zhang Qing-ling,et al.  Backstepping synchronization of uncertain chaotic systems by a single driving variable , 2008 .

[9]  Wang Zhiliang,et al.  Impulsive synchronization for unified chaotic systems with channel time-delay and parameter uncertainty , 2007 .

[10]  Fu Jie,et al.  A practical approach to robust impulsive lag synchronization between different chaotic systems , 2008 .

[11]  Congxu Zhu,et al.  Adaptive synchronization of two novel different hyperchaotic systems with partly uncertain parameters , 2009, Appl. Math. Comput..

[12]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[13]  Y. P. Zhang,et al.  Study of runaway electron behaviour during electron cyclotron resonance heating in the HL-2A Tokamak , 2009 .

[14]  陈士华,et al.  Synchronization of noise-perturbed generalized Lorenz system by sliding mode control , 2009 .

[15]  Nejib Smaoui,et al.  Synchronization of the unified chaotic systems using a sliding mode controller , 2009 .

[16]  Mohammad Haeri,et al.  Impulsive synchronization of different hyperchaotic (chaotic) systems , 2008 .

[17]  Wilfrid Perruquetti,et al.  Finite-Time Observers: Application to Secure Communication , 2008, IEEE Transactions on Automatic Control.

[18]  Tae-Hee Lee,et al.  Adaptive Functional Projective Lag Synchronization of a Hyperchaotic Rössler System , 2009 .

[19]  Wang Xingyuan,et al.  Observer-based adaptive fuzzy synchronization for hyperchaotic systems. , 2008, Chaos.

[20]  A. N. Njah.  Synchronization via active control of identical and non-identical Φ6 chaotic oscillators with external excitation , 2009 .

[21]  Guanrong Chen,et al.  YET ANOTHER CHAOTIC ATTRACTOR , 1999 .

[22]  T. Chai,et al.  Adaptive synchronization between two different chaotic systems with unknown parameters , 2006 .

[23]  Tao Yang,et al.  In: Impulsive control theory , 2001 .

[24]  Chih-Min Lin,et al.  CMAC-based adaptive backstepping synchronization of uncertain chaotic systems , 2009 .

[25]  Zhang Huaguang,et al.  Exponential synchronization of stochastic impulsive perturbed chaotic Lur'e systems with time-varying delay and parametric uncertainty , 2008 .

[26]  Wang Xingyuan,et al.  Generalized synchronization via nonlinear control. , 2008, Chaos.