针对自适应正位置反馈(Adaptive Positive Position Feedback,APPF)控制器在控制效果与分数阶正位置反馈(Fractional Order Positive Position Feedback,FOPPF)控制器在针对摄动区间小的不足,提出一种分数阶 APPF(Fractional Order Adaptive Positive Position Feedback,FOAPPF)控制器,使得控制器在控制效果提升的同时兼具强鲁棒性.基于不同参数对FOPPF控制器的影响,推导参数的最佳范围,将系统多个摄动模型的正弦扫频响应进行综合加权处理,并考虑系统远离共振频段的控制性能,构建附带约束条件的控制设计的目标函数.以粘有宏纤维复合材料(Macro Fiber Composites,MFC)的垂尾模型及其摄动模型为被控对象,设计相应的FOAPPF控制器.研究结果表明:相比FOPPF控制器,FOAPPF控制器闭环极点对参数摄动不敏感;相比APPF控制器,FOAP-PF控制器的相频曲线在摄动频带内变化平缓,其控制效果受固有频率在线估计误差的影响更小;多种试验工况表明,FOAPPF控制器在不同摄动模型下均具有较好的控制效果,垂尾抖振响应均方根值至少降低了 55％,且具有较好的鲁棒性,因此该控制器对垂尾结构的振动主动控制具有良好应用潜力.
Adaptive Fractional Order Positive Position Feedback for Vibration Control of Vertical Tail
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.
positive position feedbackonline estimation of natural frequencyperturbation structureadaptive controlfractional order control
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