Constrained dynamic matrix control based on improved differential evolution algorithm

摘要

Constrained dynamic matrix control often needs to solve a nonlinear optimization problem with constraints. The traditional solution method is highly dependent on the prediction model and is easy to fall into the local minimum. To solve this problem, an improved differential evolution algorithm is applied to solve the optimal control law, and the optimization problem with constraints is dealt with by setting specific mutation operation and penalty function. Comparing with the traditional constraint dynamic matrix control with original dynamic differential evolution algorithm, the effectiveness of the improved method proposed in this paper is verified. The proposed method solves a class of dynamic matrix control optimization problems with constraints, and has the advantages of faster convergence and no static error. A three-tank liquid level system with constraints is considered to illustrate the effectiveness of the proposed approach.