Chaos synchronization of gyroscopes using an adaptive robust finite-time controller

The problem of robust finite-time chaos synchronization between two chaotic nonlinear gyroscopes with model uncertainties, external disturbances and unknown parameters is investigated. Appropriate adaptive laws are derived to tackle the unknown parameters. Based on the adaptive laws and the finite-time control technique, suitable adaptive control laws are designed to ensure the stability of the resulting synchronization error system in a given finite time. Numerical simulations and comparative examples are presented to illustrate the applicability and usefulness of the proposed finite-time control strategy.

[1]  M. P. Aghababa,et al.  Finite-time synchronization of two different chaotic systems with unknown parameters via sliding mode technique , 2011 .

[2]  M. P. Aghababa,et al.  Synchronization of nonlinear chaotic electromechanical gyrostat systems with uncertainties , 2012 .

[3]  Hui Zhang,et al.  Robust Static Output Feedback Control and Remote PID Design for Networked Motor Systems , 2011, IEEE Transactions on Industrial Electronics.

[4]  Y. Y. Lee,et al.  Chaotic responses of curved plate under sinusoidal loading , 2003 .

[5]  Dennis S. Bernstein,et al.  Finite-Time Stability of Continuous Autonomous Systems , 2000, SIAM J. Control. Optim..

[6]  H.-K. Chen CHAOS AND CHAOS SYNCHRONIZATION OF A SYMMETRIC GYRO WITH LINEAR-PLUS-CUBIC DAMPING , 2002 .

[7]  Aryan Saadat Mehr,et al.  On ${\cal H}_{\infty }$ Filtering for Discrete-Time Takagi–Sugeno Fuzzy Systems , 2012, IEEE Transactions on Fuzzy Systems.

[8]  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..

[9]  Di Zhou,et al.  Adaptive Nonlinear Synchronization Control of Twin-Gyro Precession , 2006 .

[10]  H. Salarieh,et al.  Chaos synchronization of nonlinear gyros in presence of stochastic excitation via sliding mode control , 2008 .

[11]  Her-Terng Yau,et al.  Nonlinear rule-based controller for chaos synchronization of two gyros with linear-plus-cubic damping ☆ , 2007 .

[12]  X. Tong,et al.  Chaotic Motion of a Symmetric Gyro Subjected to a Harmonic Base Excitation , 2001 .

[13]  R. V. Dooren,et al.  Comments on “Chaos and chaos synchronization of a symmetric gyro with linear-plus-cubic damping” , 2003 .

[14]  Jun-Juh Yan,et al.  Adaptive sliding mode control for synchronization of chaotic gyros with fully unknown parameters , 2006 .

[15]  Z. Ge,et al.  Bifurcations and chaos in a rate gyro with harmonic excitation , 1996 .

[16]  Wei Xu,et al.  Synchronization of two chaotic nonlinear gyros using active control , 2005 .

[17]  Yang Shi,et al.  Improved robust energy-to-peak filtering for uncertain linear systems , 2010, Signal Process..

[19]  L. Chua,et al.  Absolute Stability Theory and the Synchronization Problem , 1997 .

[20]  Hui Zhang,et al.  Robust energy-to-peak filtering for networked systems with time-varying delays and randomly missing data , 2010 .

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

[22]  Her-Terng Yau,et al.  Chaos synchronization of two uncertain chaotic nonlinear gyros using fuzzy sliding mode control , 2008 .

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

[24]  Mohammad Pourmahmood Aghababa,et al.  Synchronization of mechanical horizontal platform systems in finite time , 2012 .

[25]  H.-K. Chen,et al.  Synchronization of chaotic symmetric gyros by one-way coupling conditions , 2003 .

[26]  Hui Zhang,et al.  Robust weighted H∞ filtering for networked systems with intermittent measurements of multiple sensors , 2011 .

[27]  Mohammad Pourmahmood Aghababa,et al.  Adaptive finite-time stabilization of uncertain non-autonomous chaotic electromechanical gyrostat systems with unknown parameters , 2011 .

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

[29]  Hui Zhang,et al.  Robust ℋ︁∞ PID control for multivariable networked control systems with disturbance/noise attenuation , 2012 .

[30]  A. Soleiman Fallah,et al.  On the chaotic dynamic response of deterministic nonlinear single and multi-degree-of-freedom systems , 2012 .

[31]  Teh-Lu Liao,et al.  Generalized projective synchronization of chaotic nonlinear gyros coupled with dead-zone input , 2008 .