次级通道估计误差对Fx-Newton算法的影响

Effects of estimation errors of the secondary path on the Fx-Newton algorithm

Fx-Newton算法在执行过程中需要估计次级通道模型,针对主被动隔振工程应用中次级通道估计存在误差的问题,假设输入信号为正弦信号,建立含次级通道估计误差的Fx-Newton算法结构模型,推导了Fx-Newton算法的稳定性条件,并就相位误差和幅值误差对Fx-Newton算法稳定性和收敛性的影响做了详细阐述。最后对两自由度主被动隔振模型开展仿真研究,验证了理论分析结果。

Estimation of the secondary path model is required in the implementation of the Fx-Newton algorithm. Aiming at the problem that errors exist in the estimation of the secondary path model in the active-passive vibration isolation engineering application,providing that the input signal is a sine signal,the structure model of the Fx-Newton algorithm was established,considering the error of the estimation of the secondary path model. Stability condition of the Fx-Newton algorithm was deduced. Effects of the amplitude and phase errors on the stability and convergence of the Fx-Newton algorithm were elaborated. Finally,simulations for a two-degree-of-freedom active-passive vibration isolation model were conducted and the theoretical analysis results were verified.