The Dynamic Matrix Control Based on Hopfield Neural Network and Its Application in a Distillation Column

In this paper, we solve the constrained multivariable dynamic matrix control problem by using the Hopfield neural network. The optimization neural network designed is guaranteed to be globally convergent to solutions of the corresponding quadratic optimization problems and has a simple structure that can be easily realized using electric circuit. The solutions can be obtained by hardware circuit or numerical algorithm. The simulation on the Wood Berry distillation column demonstrates the effectiveness of the proposed method.