A new dynamic matrix control algorithm with Lyapunov stability

Dynamic matrix control is a popular technique for the control of slow dynamical systems. However, most existing predictive control algorithms are implemented by optimization method to minimize a performance index, which results in the difficulty to analyze the stability of the predictive control algorithms, and further makes it difficult to implement the stability design of predictive controllers. The calculation of inverse matrix is involved in dynamic matrix control (DMC) and it restrains on-line application. In this paper, a DMC algorithm is proposed based on Lyapunov stability theory. A decay factor is introduced to make the control increment come to zero in the control horizon. It can reduce the computation quantity of inverse matrix and guarantee the stability of predictive control systems. An application study of the method for main steam pressure system is carried out. The simulation results demonstrate the effectiveness of the strategy proposed.