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

• DOI: 10.1007/s10765-015-1903-6
• Publication Date: 2015-05-21T06:41:20Z
• Authors: K. Bouderbala; M. Girault; E. Videcoq; H. Nouira; J. Salgado; D. Petit
• Keywords: Model Predictive Control; Robustness

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.