Enhanced Predictive Ratio Control of Interacting Systems

TL;DR

This paper introduces an enhanced ratio control method for interacting systems using a model predictive control scheme that integrates PID control, improving stability and performance through a novel control law formulation.

Contribution

It develops a PID-based MPC control scheme for interacting processes, providing stability conditions and demonstrating improved control performance through simulations and experiments.

Findings

Control law ensures asymptotic stability under specified conditions.

The approach effectively manages non-uniform process outputs.

Simulation and experimental results validate the method's effectiveness.

Abstract

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.