An exponential polynomial observer for synchronization of chaotic systems

作者：Mata Machuca J L^*; Martinez Guerra R; Aguilar Lopez R

来源：Communications in Nonlinear Science & Numerical Simulation, 2010, 15(12): 4114-4130.

DOI：10.1016/j.cnsns.2010.01.040

• Synchronization
• Polynomial observer
• Lipschitz system
• Algebraic observability condition

In this paper, we consider the synchronization problem via nonlinear observer design. A new exponential polynomial observer for a class of nonlinear oscillators is proposed, which is robust against output noises. A sufficient condition for synchronization is derived analytically with the help of Lyapunov stability theory. The proposed technique has been applied to synchronize chaotic systems (Rikitake and Rossler systems) by means of numerical simulation.

• 出版日期2010-12