Probability density function predictive control based on the rational square-root B-spline model

A predictive control algorithm for probability density function (PDF) is presented based on the rational square-root B-spline based PDF model. The rational square-root PDF model is studied first, based on the analysis of the relationship between the pseudo weight and the actual weight, the rational square-root B-spline model can be easily set up; then the predictive model is deduced; a performance index is chosen next to design the predictive controller; and simulation study is performed for the molecular weight distribution (MWD) control of a styrene polymerization process to test the validity of the predictive control algorithm.