Model Predictive Control based on the ARX-Laguerre model

In this paper, we propose to use the Model Predictive Control (MPC) based on the ARX (Auto Regressive with Exogenous Input) model expansion on Laguerre orthonormal bases, which provides a better performances with respect to the classical ARX model. The resulting model is entitled the ARX-Laguerre model that enables to identify a large class of linear systems with drastically reduction of involved parameters. An ℓ₂ - norm finite moving horizon cost function is used to obtain the control law formulated as an analytical expression.