Adaptive Vibration Control Using Frequency Estimation for Multiple Periodic Disturbances with Noise

Abstract

In this study, we focus on the error of the estimated frequency of disturbance and present a new adaptive multiple frequency tracking and modification law. The relationship between the estimated frequency error and the output level after using a low-pass Alter is discussed in detail. Also an algorithm for multiple frequency estimation is proposed, which is insensitive to observation noise and proves the asymptotic stability of the proposed adaptive nonlinear algorithm and the adaptive multiple frequency tracking method theoretically. The results of simulation show that when the frequency estimated by the difference equation method approaches the true value, the output error converges to zero (or equilibrium point) asymptotically. This corresponds to the asymptotic stability condition. The effectiveness of this method and the theoretical proof are verified by simulation. The experimental results show that the proposed algorithm is effective for suppressing unbalanced vibration.