基于自适应分数阶正位置反馈的垂尾振动主动控制

Aiming at the deficiencies of the adaptive positive position feedback (APPF) controller in the control efficiency and the fractional order positive position feedback (FOPPF) controller for the small perturbation interval, a fractional order adaptive positive position feedback (FOAPPF) controller is proposed, which aims to enhance control effectiveness while maintaining robustness. The distinct impacts of various parameters on the FOPPF controller are evaluated to derive the optimal parameter range. The sine sweep responses of multiple perturbation models of the system are comprehensively weighted. Additionally, the system's control performance far from the resonance frequency band is considered, leading to the formulation of an objective function for control design incorporating necessary constraints. The FOAPPF controller is designed based on the vertical tail model attaching macro fiber composites (MFC) and its perturbation model. Compared with FOPPF controller, the poles in the closed-loop system of FOAPPF controller are insensitive to the parameter perturbation. Moreover, compared with the APPF controller, the slope of the phase-frequency curve of FOAPPF controller is smooth in the perturbation frequency band, and its control efficiency is less affected by the online estimation error of natural frequency. Various experimental conditions show a significant improvement in the control effectiveness of FOAPPF controller across different perturbation models. Furthermore, the RMS value of the vertical tail buffeting response is reduced by at least 55%, indicating substantial robustness. Therefore, the FOAPPF controller demonstrates the promising potential for active vibration control of vertical tail structures.