Complete Switched Generalized Function Projective Synchronization of a Class of Hyperchaotic Systems With Unknown Parameters and Disturbance Inputs

The concept of complete switched generalized function projective synchronization (CSGFPS) in practical type is introduced and the CSGFPS of a class of hyperchaotic systems with unknown parameters and disturbance inputs are investigated. By Lyapunov stability theory, the adaptive control law and the parameter update law are derived to make the states of a class of hyperchaotic systems asymptotically synchronized up to a desired scaling function and the unknown parameters are also estimated. In numerical simulations, the scaling function factors discussed in this paper are more complicated. Finally, the hyperchaotic Lorenz and hyperchaotic Lu systems are taken, for example, and the numerical simulations are presented to verify the effectiveness and robustness of the proposed control scheme.

[1]  R. Rakkiyappan,et al.  Impulsive controller design for exponential synchronization of chaotic neural networks with mixed delays , 2013, Commun. Nonlinear Sci. Numer. Simul..

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

[3]  Peng Shi,et al.  Sampled-Data Fuzzy Control of Chaotic Systems Based on a T–S Fuzzy Model , 2014, IEEE Transactions on Fuzzy Systems.

[4]  Xiaoshan Zhao,et al.  Generalized function projective synchronization of two different hyperchaotic systems with unknown parameters , 2011 .

[5]  FEI YU,et al.  Erratum to “Antisynchronization of a novel hyperchaotic system with parameter mismatch and external disturbances” , 2012 .

[6]  Jinhu Lü,et al.  Coexistence of anti-phase and complete synchronization in the generalized Lorenz system , 2010 .

[7]  Peng Shi,et al.  Stochastic Synchronization of Markovian Jump Neural Networks With Time-Varying Delay Using Sampled Data , 2013, IEEE Transactions on Cybernetics.

[8]  Hongtao Lu,et al.  Hyperchaotic secure communication via generalized function projective synchronization , 2011 .

[9]  Xingyuan Wang,et al.  A hyperchaos generated from Lorenz system , 2008 .

[10]  Yongjian Liu,et al.  A new hyperchaotic system from the Lü system and its control , 2011, J. Comput. Appl. Math..

[11]  Li Junmin,et al.  Generalized projective synchronization of chaotic systems via adaptive learning control , 2010 .

[12]  Peng Shi,et al.  Function projective synchronization in complex dynamical networks with time delay via hybrid feedback control , 2013 .

[13]  Guiyuan Fu,et al.  Robust adaptive modified function projective synchronization of different hyperchaotic systems subject to external disturbance , 2012 .

[14]  Fei Yu,et al.  Complete switched modified function projective synchronization of a five-term chaotic system with uncertain parameters and disturbances , 2013 .

[15]  Malek Ghanes,et al.  Passive and impulsive synchronization of a new four-dimensional chaotic system , 2011 .

[16]  Hamid Reza Karimi,et al.  Robust H∞ synchronization of a hyper-chaotic system with disturbance input , 2013 .

[17]  Hu Yan,et al.  Projective synchronization of a five-term hyperbolic-type chaotic system with fully uncertain parameters , 2012 .

[18]  Yunqing Yang,et al.  The generalized Q-S synchronization between the generalized Lorenz canonical form and the Rössler system , 2009 .

[19]  Chunlai Li,et al.  Switched generalized function projective synchronization of two identical/different hyperchaotic systems with uncertain parameters , 2012 .

[20]  Ronnie Mainieri,et al.  Projective Synchronization In Three-Dimensional Chaotic Systems , 1999 .

[21]  Xingyuan Wang,et al.  Generalized projective synchronization of a class of hyperchaotic systems based on state observer , 2012 .