Robust Adaptive Control for Rejection of Uncertain Harmonic Vibration Disturbances

This study presents a robust adaptive vibration control strategy for mitigating uncertain harmonic disturbances. The proposed frequency adaptation algorithm enables the system to accurately track and converges to the fundamental frequency of the disturbance in steady-state conditions. Low-frequency components are effectively suppressed through a combination of adaptive control and real-time frequency adjustment, while high-frequency components are attenuated using a robust H_∞ control scheme. Both the feedback and adaptive controllers are designed using an optimization framework that combines linear matrix inequality (LMI) techniques with particle swarm optimization (PSO). The effectiveness of the proposed control approach is demonstrated through simulations on a track-following system of an optical disk drive.