Model Reduction and Thermal Regulation by Model Predictive Control of a New Cylindricity Measuring Machine

This paper deals with the thermal regulation at the \(\pm \)10 \(\hbox {mK}\) level of a high-accuracy cylindricity measurement machine subject to thermal disturbances, generated by four heat sources (laser interferometers). A reduced model identified from simulated data using the modal identification method was associated with a model predictive controller (MPC). The control was applied to minimize the thermal perturbation effects on the principal organ of the cylindricity measurement machine. A parametric study of the penalization coefficient \(\lambda \) was conducted, which validated the robustness of the controller. The association of both reduced model and MPC allowed significant reduction of the effects of the disturbances on the temperature, a promising result for future applications.