Chaos Control and Reduced-order Synchronization of the Rigid Body

作者: O. O. Akigbogun , J. A. Laoye , U. E. Vincent

DOI:

关键词: Synchronization (computer science)Control theoryMathematicsRigid bodyRigid body dynamicsSynchronization of chaosCHAOS (operating system)ChaoticLyapunov stabilityBackstepping

摘要: In this paper, we investigate the control and reduced-order synchronization in a new third-order chaotic system derived from rigid body dynamics. A recursive backstepping is designed based on Lyapunov stability theory to eliminate behaviour. To achieve between second-order Duffing os- cillator, propose generalized active-backstepping approach theory. Numerical simulations are presented illustrate effectiveness of proposed con- trol techniques.

参考文章(33)
Arkady Pikovsky, Michael Rosenblum, Jürgen Kurths, Synchronization: A Universal Concept in Nonlinear Sciences ,(2001)
Amir Abbas Emadzadeh, Mohammad Haeri, Anti-Synchronization of two Different Chaotic Systems via Active Control International Journal of Electrical and Computer Engineering. ,vol. 1, pp. 906- 909 ,(2007)
Ricardo Femat, Gualberto Solís-Perales, Synchronization of chaotic systems with different order Physical Review E. ,vol. 65, pp. 036226- ,(2002) , 10.1103/PHYSREVE.65.036226
Uchechukwu E Vincent, Abdulahi N Njah, John A Laoye, None, Controlling chaos and deterministic directed transport in inertia ratchets using backstepping control Physica D: Nonlinear Phenomena. ,vol. 231, pp. 130- 136 ,(2007) , 10.1016/J.PHYSD.2007.04.003
Mei Sun, Lixin Tian, Shumin Jiang, Jun Xu, Feedback control and adaptive control of the energy resource chaotic system Chaos, Solitons & Fractals. ,vol. 32, pp. 1725- 1734 ,(2007) , 10.1016/J.CHAOS.2005.12.008
U.E. Vincent, Synchronization of identical and non-identical 4-D chaotic systems using active control Chaos, Solitons & Fractals. ,vol. 37, pp. 1065- 1075 ,(2008) , 10.1016/J.CHAOS.2006.10.005
Louis M. Pecora, Thomas L. Carroll, Synchronization in chaotic systems Physical Review Letters. ,vol. 64, pp. 821- 824 ,(1990) , 10.1103/PHYSREVLETT.64.821
Mohammad Haeri, Behzad Khademian, Comparison between different synchronization methods of identical chaotic systems Chaos, Solitons & Fractals. ,vol. 29, pp. 1002- 1022 ,(2006) , 10.1016/J.CHAOS.2005.08.101
F.M. Moukam Kakmeni, S. Bowong, C. Tchawoua, Reduced-order synchronization of uncertain chaotic systems via adaptive control Communications in Nonlinear Science and Numerical Simulation. ,vol. 11, pp. 810- 830 ,(2006) , 10.1016/J.CNSNS.2004.12.007
Hsien-Keng Chen, Global chaos synchronization of new chaotic systems via nonlinear control Chaos Solitons & Fractals. ,vol. 23, pp. 1245- 1251 ,(2005) , 10.1016/J.CHAOS.2004.06.040