On the Parameters Estimation of the Duffing System by Systems Synchronization

The Lyapunov based approach for synchronizing and identifying the unknown parameters in the Duffing system is presented in this paper. The strategy consists of proposing a slave system which has to follow asymptotically the desired Duffing system. The gains of the slave system are adjusted continually according to a convenient adaptation control law, until the measurable output error converges to zero. The convergence analysis is carried out by using Barbalat’s Lemma. Key–Words: Mechanical Oscillator, Chaos, Reconstruction and Observers