Ratio control for two interacting processes is proposed with a PID feedforward design based on model predictive control (MPC) scheme. At each sampling instant, the MPC control action minimizes a state-dependent performance index associated with a PID-type state vector, thus yielding a PID-type control structure. Compared to the standard MPC formulations with separated single-variable control, such a control action allows one to take into account the non-uniformity of the two process outputs. After reformulating the MPC control law as a PID control law, we provide conditions for prediction horizon and weighting matrices so that the closed-loop control is asymptotically stable, and show the effectiveness of the approach with simulation and experiment results.
@article{arxiv.1305.6394,
title = {Enhanced Predictive Ratio Control of Interacting Systems},
author = {Minh Hoang-Tuan Nguyen and Kok Kiong Tan and Sunan Huang},
journal= {arXiv preprint arXiv:1305.6394},
year = {2016}
}