A Simplified Algorithm for Dynamic Matrix Control with PID Structure

A dynamic matrix control with PID structure (PID-DMC) is derived by adding proportion, integral and differential structure to the conventional cost function. However the complicated inversion computation of higher dimensional matrix is involved in the PID-DMC and it restrains the on-line application. This paper is devoted to decreasing computational complexity by exploring its internal mechanism and puts forward a simplified algorithm, which softens the input signals by constraining the rolling optimization sequence of the controller. This simplified algorithm avoids complexities of calculating the matrix inversion and just needs to take the reciprocal of a number. The simulation results demonstrate the feasibility and effectiveness of this simplified algorithm.