Lagrange interpolation for signal reconstruction in event-based GPC

Abstract

This work presents the application of Lagrange interpolation method for a signal reconstruction in event-based Generalized Predictive Control (GPC). The event-based control system is governed by level crossing sampling techniques, which monitors the controlled variable. The Lagrange interpolation method is used to reconstruct signal values between two consecutive events. The interpolated signal values are used to unify the obtained values to a base signal, which is resampled with fixed frequency. The developed event-based GPC with Lagrange interpolation is verified through a simulation study, considering several process models commonly used in industrial applications. The obtained results show a proper operation of the event-based controllers, due to good interpolation accuracy.