一种简化递推偏最小二乘建模算法及其应用

在已有的偏最小二乘相关算法基础上,提出一种简化的递推偏最小二乘算法,即直接采用自变量主元的2个回归系数矩阵来取代残差矩阵进行递推计算,进一步简化了递推计算过程,在保证建模精度的同时,使计算速度提高了近一倍.并以数控铣削加工过程中切削合力峰值在线建模为应用实例,对切削过程z传递函数的参数进行了在线辨识计算,由估计模型重构了切削过程的输出,其结果与实验测量值是一致的,且误差很小.仿真和实验结果表明,该简化递推偏最小二乘建模算法是正确和有效的,并且具有计算量小、辨识速度快、建模效率高等特点,适用于数据量较大、建模速度要求较高的研究对象的在线建模.

Study on an improved recursive partial least-squares modeling approach and application

Based on the related partial least squares (PLS) algorithms, a new improved recursive partial least squares (SR PLS) algorithm was derived. The SR PLS simplifies the recursive computations by substituting the two principal matrices of the independent variables for the residual matrices directly. By using a computer simulation, it shows the consumed time using SR PLS decreased greatly. The SR PLS was implemented in modeling peak resultant cutting force of an NC machining process. The estimated outputs of the process model with the identified parameters were re constructed, consistent with the measurement. The simulation and experiment demonstrate that the SR PLS algorithm was correct and effective, with the advantages of less computation time, valid parameter estimation and small modeling errors. SR PLS algorithm is suitable for the on line modeling applications in the cases of large scale measurement data and the requirement of high efficiency as well.