结构自适应频谱塑形主动控制研究

Adaptive Spectral Reshaping Method of Active Control for Structures

针对复杂机械系统的靶向振动控制需求,提出不同频率分量幅值相位可控、任意频率可注入的自适应频谱塑形主动控制算法。首先,在传统的滤波自适应控制的结构中引入一个控制器的数字镜像模型,通过自适应算法在线更新该数字镜像模型的系数实现原控制器系数的随动修正,改善了控制系统的闭环特性,提升了控制系统的收敛性。其次,提出了广义塑形滤波器的设计方法,克服了传统算法缺乏相位塑形和频率注入能力的局限性,通过外加多频信号和噪声估计共同构造幅值、相位和频率可控的塑形滤波器,实现了任意频率成分的消除、消减、保持、增强、注射五种控制模式,拓展了算法的适用性。对所提出的算法进行了时域收敛性分析,推导分析结果和数值仿真结果吻合良好。通过某旋转机械实测振源信号及次级通道模型开展了算法验证,通过舱段柱壳模型开展了在线试验,结果均验证了所提出算法的有效性和优越性。

Aiming at the demand of targeted vibration control for complex mechanical systems,a generalized adaptive active vibration spectral reshaping control method,which is able to control amplitude and phase of every single frequency components and to inject arbitrary frequency components,is proposed.Firstly,a digital twin model(DTM)of the controller is introduced to the traditional structure of filtering adaptive control.The coefficients of the DTM are online updated according to adaptive algorithm while the original controller copies the coefficients of DTM at every iteration,which improves the convergence of the control system.Second,a design method for generalized shaping filter is proposed,overcoming the weakness of the traditional algorithm which has no phase control and frequency injection capability.External multi-frequency signal and the estimated primary noise are applied to construct the shaping filter with amplitude,phase and frequency control capability.The proposed algorithm is able to realize modes of cancellation,suppression,hold,enhancement and injection.Time domain convergence analysis of the proposed algorithm is conduct and the results are in good agreement with the numerical simulations.Experimental study has been conducted to verify the effectiveness and superiority of the proposed algorithm.