A new formulation of Economic Model Predictive Control without terminal constraint. (March 2021)

• Record Type: Journal Article
• Authors: Alamir, Mazen; Pannocchia, Gabriele
• Is Part Of: Automatica. Volume 125(2021)
• Publication Date: 2021-03
• Subjects: Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2020.109420
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: In this paper, it is shown that a simple formulation of Economic Model Predictive Control can be used which possesses two features that are generally viewed as mutually exclusive, namely, a rather short prediction horizon (reachability-compatible) on one side, and the absence of final constraint on the other side. Practical stability at an arbitrarily small neighborhood of the optimal unknown steady-state pair is shown when some design parameters increase. It is also shown that when the system is originated from the time discretization of a continuous-time dynamics, the size of the terminal region can be reduced by decreasing the sampling period for the same design parameter setting. A commonly used example is given to illustrate the results.