Combination synchronization of Genesio time delay chaotic system via robust adaptive sliding mode control

This manuscript investigates the combination synchronization of identical Genesio time-delay chaotic system via robust adaptive sliding mode control. For this purpose the corresponding methodology is also developed. The stability of error dynamics is established by using Lyapunov stability theory and detailed mathematical theory. Finally, numerical simulations are displayed to show the viability of the methodology. Computational and analytical results are in excellent agreement.

[1]  Shikha,et al.  Hybrid function projective synchronization of chaotic systems via adaptive control , 2017 .

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

[3]  Licheng Jiao,et al.  Projective synchronization with different scale factors in a driven–response complex network and its application in image encryption , 2010 .

[4]  Ayub Khan,et al.  Synchronization of circular restricted three body problem with lorenz hyper chaotic system using a robust adaptive sliding mode controller , 2013, Complex..

[5]  Sundarapandian Vaidyanathan,et al.  Hybrid Synchronization of Identical Chaotic Systems Using Sliding Mode Control and an Application to Vaidyanathan Chaotic Systems , 2015, Advances and Applications in Sliding Mode Control Systems.

[6]  Guohui Li.  Modified projective synchronization of chaotic system , 2007 .

[7]  Wolfram Just,et al.  Synchronization of time-delay systems , 1998, chao-dyn/9908003.

[8]  Sundarapandian Vaidyanathan,et al.  Generalized Projective Synchronization of a Novel Hyperchaotic Four-Wing System via Adaptive Control Method , 2016, Advances in Chaos Theory and Intelligent Control.

[9]  Jitao Sun,et al.  Global synchronization criteria with channel time-delay for chaotic time-delay system , 2004 .

[10]  Sheng Li,et al.  H∞ synchronization of chaotic systems via delayed feedback control , 2010, Int. J. Autom. Comput..

[11]  Sundarapandian Vaidyanathan,et al.  Analysis and Control of a 4-D Novel Hyperchaotic System , 2015, Chaos Modeling and Control Systems Design.

[12]  Sundarapandian Vaidyanathan,et al.  Analysis, Control and Synchronization of a Nine-Term 3-D Novel Chaotic System , 2015, Chaos Modeling and Control Systems Design.

[13]  Chi-Ching Yang,et al.  Robust synchronization and anti-synchronization of identical Φ6 oscillators via adaptive sliding mode control , 2012 .

[14]  S. Tong,et al.  Guaranteed cost control of time-delay chaotic systems via memoryless state feedback , 2007 .

[15]  Rong He,et al.  Time delayed chaotic systems and their synchronization , 1999 .

[16]  Sundarapandian Vaidyanathan,et al.  Fractional Order Control and Synchronization of Chaotic Systems , 2017, Studies in Computational Intelligence.

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

[18]  K. Ikeda,et al.  Study of a high-dimensional chaotic attractor , 1986 .

[19]  Muzaffar Ahmad Bhat,et al.  Hyper-chaotic analysis and adaptive multi-switching synchronization of a novel asymmetric non-linear dynamical system , 2017 .

[20]  P. Saha,et al.  Multiple delay Rössler system—Bifurcation and chaos control , 2008 .

[21]  Rose,et al.  Conjecture on the dimensions of chaotic attractors of delayed-feedback dynamical systems. , 1987, Physical review. A, General physics.

[22]  Adel Ouannas,et al.  On inverse problem of generalized synchronization between different dimensional integer-order and fractional-order chaotic systems , 2016, 2016 28th International Conference on Microelectronics (ICM).

[23]  Sundarapandian Vaidyanathan,et al.  Backstepping Controller Design for the Global Chaos Synchronization of Sprott's Jerk Systems , 2015, Chaos Modeling and Control Systems Design.

[24]  V. Kolmanovskii,et al.  Applied Theory of Functional Differential Equations , 1992 .

[25]  Sundarapandian Vaidyanathan,et al.  Anti-synchronization of Identical Chaotic Systems Using Sliding Mode Control and an Application to Vaidyanathan-Madhavan Chaotic Systems , 2015, Advances and Applications in Sliding Mode Control Systems.

[26]  J. D. Farmer,et al.  Chaotic attractors of an infinite-dimensional dynamical system , 1982 .

[27]  Djamel Boukhetala,et al.  Sliding Modes for Fault Tolerant Control , 2015, Advances and Applications in Sliding Mode Control Systems.

[28]  Ying-Cheng Lai,et al.  Controlling chaos , 1994 .

[29]  Pérez,et al.  Extracting messages masked by chaos. , 1995, Physical review letters.

[30]  Ju H. Park,et al.  Guaranteed cost control of time-delay chaotic systems , 2006 .

[31]  Changchun Hua,et al.  Robust control of time-delay chaotic systems , 2003 .

[32]  Ahmad Taher Azar,et al.  Deadbeat Control for Multivariable Discrete Time Systems with Time Varying Delays , 2015, Chaos Modeling and Control Systems Design.

[33]  Sundarapandian Vaidyanathan,et al.  Adaptive Control and Synchronization of Halvorsen Circulant Chaotic Systems , 2016, Advances in Chaos Theory and Intelligent Control.

[34]  Luo Runzi,et al.  Combination synchronization of three classic chaotic systems using active backstepping design. , 2011, Chaos.

[35]  Ayub Khan,et al.  Analysis and hyper-chaos control of a new 4-D hyper-chaotic system by using optimal and adaptive control design , 2017 .

[36]  K. S. Ojo,et al.  Generalized reduced-order hybrid combination synchronization of three Josephson junctions via backstepping technique , 2014 .

[37]  Lequan Min,et al.  Generalized Chaos Synchronization of Bidirectional Arrays of Discrete Systems , 2013 .

[38]  Gibbs,et al.  High-dimension chaotic attractors of a nonlinear ring cavity. , 1986, Physical review letters.