Multichannel Coupled Hybrid Adaptive Active Vibration Control Algorithm Based on H∞ Control and Normalized Global Error

To address the vibration interference from multiple devices in a floating-raft system, this study proposes a multichannel coupled hybrid adaptive algorithm (H[Formula: see text]-CNGHAFxLMS) based on H[Formula: see text] control and normalized global error, aimed at enhancing the performance and stability of the traditional Filtered-x Least Mean Squares (FxLMS) algorithm. First, a simplified 3-DOF model of the horizontal-longitudinal dynamics of the floating-raft system is established, and the system’s dynamic behavior with and without actuators is analyzed. Then, the three-channel FxLMS algorithm is improved by incorporating a feedback path and a normalized global error. Simulation results show that the normalized global error-mixed adaptive algorithm (NGHAFxLMS) algorithm provides better vibration suppression performance across three channels compared to the conventional algorithms. To further improve the convergence speed and stability, H[Formula: see text] control and multichannel coupling compensation are introduced. Simulation results demonstrate that the optimized H[Formula: see text]-CNGHAFxLMS algorithm achieves the lowest steady-state error under the conditions of [Formula: see text] and [Formula: see text]. Experimental validation on a test platform shows that the H[Formula: see text]-CNGHAFxLMS algorithm achieves RMS reductions of 5.52[Formula: see text]dB and 5.21[Formula: see text]dB under steady-state and non-steady-state conditions, respectively, demonstrating excellent vibration suppression, rapid convergence, and superior robustness.