Synchronization of Mimas-Tethys System with Driven Damped Pendulum Using a Robust Adaptive Sliding Mode Controller

In this paper, we have synchronized the Mimas-Tethys system (MTS: Natural moons of Saturn) with driven damped pendulum (DDP) using a robust adaptive sliding mode controller (RASM C) together with uncertainties, external disturbances and fully unknown parameters. A simple suitable slid ing surface, which includes synchronization errors, is constructed and appropriate update laws are used to tackle the uncertainties, external d isturbances and unknown parameters. All simu lations to achieve the synchronization for the proposed technique for the two non-identical systems under consideration are being done using Mathematica.

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

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

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

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

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

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

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

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

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

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

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

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

[13]  Mohammad Shahzad,et al.  CONTROL OF CHAOS IN THE HAMILTONIAN SYSTEM OF MIMAS-TETHYS , 2008 .

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

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

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

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

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

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

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

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

[22]  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..

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

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

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

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

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

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

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

[30]  Guanrong Chen,et al.  From Chaos To Order Methodologies, Perspectives and Applications , 1998 .

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

[32]  Tomasz Kapitaniak,et al.  Chaotic Oscillations in Mechanical Systems , 1991 .

[33]  A. Nayfeh,et al.  Applied nonlinear dynamics : analytical, computational, and experimental methods , 1995 .

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

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

[36]  Vadim I. Utkin,et al.  Sliding Modes in Control and Optimization , 1992, Communications and Control Engineering Series.

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