Implementation of a Kalman-Bucy Filter for Estimating Product Concentration of a CSTR Process

This paper has presented the implementation of a KalmanBucy filter for estimating product concentration of a continuous stirred tank reactor (CSTR). An ideal operation was assumed such that the chemical reaction taking place in the system was considered a linear continuous time process. A transfer function model for the product concentration considering reactor mass balance is obtained. It is required to estimate and track the product concentration using measurement noise. A Kalman-Bucy filter was developed and implemented in Matlab/Simulink environment. A computer programme using Matlab code for the Kalman-Bucy filter implemented in Matlab/Simulink embedded block function was used for the simulation in this paper. The results obtained showed that the performance of the filter in rejecting the noise and estimating a signal that accurately tracks the input improved as the value of the noise variance was tuned within the range of 0.0001 to 0.1.