A Compensation Matrix Based Model Predictive Control Structure for the Register Control of Roll-to-Roll Manufacturing

In this article, we advance a compensation matrix based model predictive control (CMB-MPC) framework for the register control of roll-to-roll (R2R) printing systems to overcome the deficiencies of traditional model predictive control (MPC) in register precision and computational complexity. Within the structure of CMB-MPC, a compensation matrix is introduced, serving to simplify the internal predictive model tailored for the MPC controller of R2R printing systems through the preprocessing of control variables. According to the processed model, we propose a novel predictive control algorithm for register control, incorporating a coupling-based selection algorithm to strategize the control weight matrix of the controller against the adverse effects of system coupling. The effectiveness and superior performance of CMB-MPC are demonstrated by experiments and comparisons, and the results indicate that CMB-MPC imparts three distinct advantages. First, it significantly reduces the computational complexity of traditional MPC controllers for the register control of R2R printing systems. Second, it achieves a remarkable enhancement in register accuracy within R2R printing systems, surpassing the capabilities of conventional MPC and fully decoupled proportional-differential control methods. Third, the waste material controlled by CMB-MPC exhibits exceptional less, rendering it highly suitable for industrial applications.