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

Journal of Mechanical Science and Technology

Volumn 27, Issue 3, 2013, Pages 909-916

  Aghababa, Mohammad Pourmahmood ^a   Aghababa, Hasan Pourmahmood ^b  

^a URMIA UNIVERSITY OF TECHNOLOGY   (Iran)

^b UNIVERSITY OF TABRIZ   (Iran)

Author keywords

Chaotic gyroscope; Finite time synchronization; Uncertainty; Unknown parameter

Indexed keywords

CHAOS THEORY; CONTROL THEORY; GYROSCOPES; SYNCHRONIZATION; UNCERTAINTY ANALYSIS;

ADAPTIVE CONTROL LAW; CHAOS SYNCHRONIZATION; EXTERNAL DISTURBANCES; FINITE-TIME CONTROLLERS; FINITE-TIME SYNCHRONIZATIONS; SYNCHRONIZATION ERROR; UNCERTAINTY; UNKNOWN PARAMETER;

ADAPTIVE CONTROL SYSTEMS;

EID: 84875405060     PISSN: 1738494X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s12206-013-0106-y     Document Type: Article

References (31)

1. M. P. Aghababa and H. P. Aghababa, Adaptive finite-time stabilization of uncertain non-autonomous chaotic electromechanical gyrostat systems with unknown parameters, Mechanics Research Communications, 38 (2011) 500-505.
2. M. P. Aghababa and H. P. Aghababa, Synchronization of nonlinear chaotic electromechanical gyrostat systems with uncertainties, Nonlinear Dynamics, 67 (2012a) 2689-2701.
3. M. P. Aghababa and H. P. Aghababa, Synchronization of mechanical horizontal platform systems in finite time, Applied Mathematical Modelling, 36 (2012b) 4579-4591.
4. M. P. Aghababa and A. Heydari, Chaos synchronization between two different chaotic systems with uncertainties, external disturbances, unknown parameters and input nonlinearities, Applied Mathematical Modelling, 36 (2012) 1639-1652.
5. M. P. Aghababa and M. E, Akbari, A chattering-free robust adaptive sliding mode controller for synchronization of two different chaotic systems with unknown uncertainties and external disturbances, Applied Mathematics and Computation, 218 (2012) 5757-5768.
6. M. P. Aghababa, S. Khanmohammadi and G. Alizadeh, Finite-time synchronization of two different chaotic systems with unknown parameters via sliding mode technique, Applied Mathematical Modelling, 35 (2011) 3080-3091.
7. S. P. Bhat and D. S. Bernstein, Finite-time stability of continuous autonomous systems, SIAM Journal on Control and Optimization, 38 (2000) 751-766.
8. H. K. Chen, Chaos and chaos synchronization of a symmetric gyro with linear-plus-cubic damping, Journal of Sound and Vibration, 255 (2002) 719-740.
9. G. Chen and X. Dong, From chaos to order: methodologies, perspectives and applications. World Scientific, Singapore (1998).
10. H. K. Chen and T. N. Lin, Synchronization of chaotic symmetric gyros by one-way coupling conditions, Proceedings Instauration of Mechanical Engineering Part C: Journal of Mechanical Engineering Sciences, 217 (2003) 331-340.
11. P. F. Curran and L. O. Chua, Absolute stability theory and the synchronization problem, International Journal of Bifurcation and Chaos, 7 (1997) 1357-1382.
12. Z. M. Ge and H. K. Chen, Bifurcations and chaos in a rate gyro with harmonic excitation, Journal of Sound and Vibration, 194 (1996) 107-117.
13. M. Hung, J. J. Yan and T. Liao, Generalized projective synchronization of chaotic nonlinear gyros coupled with dead-zone input, Chaos Solitons and Fractals, 35 (2008) 181-187.
14. Y. Lei, W. Xu, H. Zheng, Synchronization of two chaotic nonlinear gyros using active control, Physics Letters A, 343 (2005) 153-158.
15. W. Y. Poon, C. F. Ng and Y. Y. Lee, Chaotic responses of curved plate under sinusoidal loading, Journal of Mechanical Science and Technology, 17 (2003) 85-96.
16. H. Salarieh and A. Alasty, Chaos synchronization of nonlinear gyros in presence of stochastic excitation via sliding mode control, Journal of Sound and Vibration, 313 (2008) 760-771.
17. S. K. A. Shah, A. S. Fallah and L. A. Louca, On the chaotic dynamic response of deterministic nonlinear single and multi-degree-of-freedom systems, Journal of Mechanical Science and Technology, 26 (2012) 1697-1709.
18. J. Skowronski, W. J. Grantham and B. Lee, Use of chaos in a lyapunov dynamic game, Journal of Mechanical Science and Technology, 17 (2003) 1714-1724.
19. X. Tong and N. Mrad, Chaotic motion of a symmetric gyro subjected to a harmonic base excitation. Journal of Applied Mechanics Transactions of American Society of Mechanical Engineers, 68 (2001) 681-684.
20. R. van Dooren, Comments on Chaos and chaos synchronization of a symmetric gyro with linear-plus-cubic damping, Journal of Sound and Vibration, 268 (2008) 632-634.
21. H. Wang, Z. Han, Q. Xie and W. Zhang, Finite-time chaos synchronization of unified chaotic system with uncertain parameters, Communications in Nonlinear Science and Numerical Simulation, 14 (2009) 2239-2247.
22. J. J. Yan, M. L. Hung and T. L. Liao, Adaptive sliding mode control for synchronization of chaotic gyros with fully unknown parameters, Journal of Sound and Vibration, 298 (2006) 298-306.
23. H. Yau, Nonlinear rule-based controller for chaos synchronization of two gyros with linear-plus-cubic damping, Chaos Solitons and Fractals, 34 (2007) 1357-1365.
24. H. Yau, Chaos synchronization of two uncertain chaotic nonlinear gyros using fuzzy sliding mode control, Mechanical Systems and Signal Processing, 22 (2008) 408-418.
25. ∞ filtering for discrete-time Takagi-Sugeno fuzzy systems, IEEE Transactions on Fuzzy Systems, 20 (2012) 396-401.
26. ∞ PID control for multivariable networked control systems with disturbance/noise attenuation, International Journal of Robust Nonlinear Control, 22 (2012) 183-204.
27. H. Zhang, Y. Shi and A. S. Mehr, Robust static output feedback control and remote PID design for networked motor systems, IEEE Transactions on Industrial Electrons, 58 (2011a) 5396-5405.
28. ∞ filtering for networked systems with intermitted measurements of multiple sensors, International Journal of Adaptive Control and Signal Processing, 25 (2011b) 313-330.
29. H. Zhang, Y. Shi and A. S. Mehr, Robust energy-to-peak filtering for networked systems with time-varying delays and randomly missing data, IET Control Theory and Applications, 4 (2010a) 2921-2936.
30. H. Zhang, A. S. Mehr and Y. Shi, Improved robust energyto-peak filtering for uncertain linear systems, Signal Processing, 90 (2010b) 2667-2675.
31. D. Zhou, T. Shen and K. Tamura, Adaptive nonlinear synchronization control of twin gyro procession, ASME Journal on Dynamical Systems and Measurement Control, 128 (2006) 592-599.