Synchronization of circular restricted three body problem with lorenz hyper chaotic system using a robust adaptive sliding mode controller

In this computational study, we synchronize the Circular Restricted Three Body Problem (CRTBP) with Lorenz Hyper Chaotic System (LHCS) using a Robust Adaptive Sliding Mode Controller (RASMC) together with uncertainties, external disturbances and fully unknown parameters. A simple suitable sliding surface, which includes synchronization errors, is constructed and appropriate update laws are used to tackle the uncertainties, external disturbances and unknown parameters. All simulations to achieve the synchronization for the implemented technique for the two non-identical systems under consideration are being done using Mathematica. © 2013 Wiley Periodicals, Inc. Complexity 18: 58-64, 2013

[1]  Heng-Hui Chen,et al.  Chaos synchronization between two different chaotic systems via nonlinear feedback control , 2009 .

[2]  V. J. Majd,et al.  Robust synchronization of a class of uncertain chaotic systems , 2009 .

[3]  Mohammad Pourmahmood Aghababa,et al.  Chaos synchronization between two different chaotic systems with uncertainties, external disturbances, unknown parameters and input nonlinearities , 2012 .

[4]  W. Chang.  PID control for chaotic synchronization using particle swarm optimization , 2009 .

[5]  S. Ge,et al.  Adaptive synchronization of uncertain chaotic systems via backstepping design , 2001 .

[6]  José Manoel Balthazar,et al.  On control and synchronization in chaotic and hyperchaotic systems via linear feedback control , 2008 .

[7]  Chaio-Shiung Chen,et al.  Quadratic optimal neural fuzzy control for synchronization of uncertain chaotic systems , 2009, Expert Syst. Appl..

[8]  Awad El-Gohary,et al.  Optimal synchronization of Rössler system with complete uncertain parameters , 2006 .

[9]  Zengrong Liu,et al.  Adaptive synchronization of a class of continuous chaotic systems with uncertain parameters , 2008 .

[10]  Faqiang Wang,et al.  Synchronization of unified chaotic system based on passive control , 2007 .

[11]  Hamed Kebriaei,et al.  Robust adaptive synchronization of different uncertain chaotic systems subject to input nonlinearity , 2010 .

[12]  Moez Feki,et al.  Sliding mode control and synchronization of chaotic systems with parametric uncertainties , 2009 .

[13]  H. Yau,et al.  Chaos synchronization using fuzzy logic controller , 2008 .

[14]  Shihua Chen,et al.  Synchronizing the noise-perturbed unified chaotic system by sliding mode control , 2006 .

[15]  H. Salarieh,et al.  Adaptive synchronization of two different chaotic systems with time varying unknown parameters , 2008 .

[16]  Wei Xiang,et al.  Second-order terminal sliding mode controller for a class of chaotic systems with unmatched uncertainties , 2010 .

[17]  Hao Zhang,et al.  Synchronization of uncertain chaotic systems with parameters perturbation via active control , 2004 .

[18]  S. Bowong.  Adaptive synchronization between two different chaotic dynamical systems , 2007 .

[19]  Wang-Long Li,et al.  Robust synchronization of drive-response chaotic systems via adaptive sliding mode control , 2009 .

[20]  Jun Ma,et al.  Optimize design of adaptive synchronization controllers and parameter observers in different hyperchaotic systems , 2010, Appl. Math. Comput..

[21]  Yeong-Jeu Sun.  Chaos synchronization of uncertain Genesio–Tesi chaotic systems with deadzone nonlinearity , 2009 .

[22]  Sohrab Khanmohammadi,et al.  Synchronization of two different uncertain chaotic systems with unknown parameters using a robust adaptive sliding mode controller , 2011 .

[23]  Mohammad Pourmahmood Aghababa,et al.  A chattering-free robust adaptive sliding mode controller for synchronization of two different chaotic systems with unknown uncertainties and external disturbances , 2012, Appl. Math. Comput..

[24]  Euntai Kim,et al.  Fuzzy model based adaptive synchronization of uncertain chaotic systems: Robust tracking control approach , 2009 .

[25]  Wei Zhang,et al.  Finite-time chaos synchronization of unified chaotic system with uncertain parameters , 2009 .

[26]  Qiang Jia,et al.  Hyperchaos generated from the Lorenz chaotic system and its control , 2007 .

[27]  M. Beheshti,et al.  An LMI approach to robust synchronization of a class of chaotic systems with gain variations , 2009 .

[28]  Xiaoyun Chen,et al.  Adaptive synchronization of different chaotic systems with fully unknown parameters , 2007 .

[29]  J. Yan,et al.  Robust synchronization of chaotic systems via adaptive sliding mode control , 2006 .

[30]  Yuanwei Jing,et al.  Modified projective synchronization of chaotic systems with disturbances via active sliding mode control , 2010 .

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

[32]  M. T. Yassen,et al.  Adaptive synchronization of two different uncertain chaotic systems [rapid communication] , 2005 .

[33]  M. Yassen.  Controlling, synchronization and tracking chaotic Liu system using active backstepping design , 2007 .