An expansion procedure to design partially decentralized controllers

via

model predictive control is proposed in this paper.Partially decentralized control is a control structure that lies between a fully decentralized structure and a fully centralized one

and has the advantage of achieving comparable performance as a fully centralized controller but with simpler structure.The proposed method follows the expansion method proposed in a previous paper where internal model control (IMC) was used to design controllers for non-square subsystems.The method requires computing the pseudo-inverse of a non-square matrix

via

pseudo-inverse factors.Instead

the proposed method uses dynamic matrix control (DMC) to design PID controllers for non-square subsystems without using additional factors.The effectiveness of the proposed method is demonstrated on several chemical examples.Simulation results show that the proposed method is simple and can achieve better performance.