Modified recursive partial least squares algorithm with application to modeling parameters of ball mill load

Recursive partial least squares (RPLS) regression is effectively used in process monitoring and modeling to deal with the stronger collinearity of the process variables and slow time-varying property of industrial processes. Aim at the RPLS cannot solve the modeling speed and the accuracy problems effectively, a modified sample-wise RPLS algorithm is proposed in this paper. It updates the PLS model according to the process status. We use the approximate linear dependence (ALD) condition to check each new sample. The model is reconstructed recursively such that the new samples satisfy the ALD condition. Experimental study on modeling parameters of ball mill load shows that the proposed modified RPLS algorithm is computationally faster, and the modeling accuracy is higher than conventional RPLS for the time-varying process.