Parameter estimations of parametrically excited pendulums based on chaos feedback synchronization

In this paper, an iterate parameter estimation scheme based on chaos feedback synchronization is applied for parametrically excited pendulums. The response pendulum can exactly reproduce the system parameters and bifurcation diagram of the drive pendulum, thus allowing two chaotic pendulums to be synchronized even though their initial parameter values are quite different. The effects of feedback function and feedback weight are investigated. Feedback and parameter controls suppress the perturbations resulting from noise and parameter mismatches. This parameter estimation method based on feedback synchronization is robust to large parameter mismatches.