A reference governor for linear systems with polynomial constraints. (August 2022)

• Record Type: Journal Article
• Authors: Burlion, Laurent; Schieni, Rick; Kolmanovsky, Ilya V.
• Is Part Of: Automatica. Volume 142(2022)
• Publication Date: 2022-08
• Subjects: Reference governors -- Nonlinear systems -- Control of constrained systems -- Polynomial methods; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2022.110313
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: The paper considers reference governor design for a class of linear discrete-time systems with constraints given by polynomial inequalities and constant reference commands. For such systems, we propose a novel algorithm to compute the maximal output admissible set. The reference governor solves a constrained nonlinear minimization problem at the initialization and then uses a bisection algorithm at the subsequent time steps. The effectiveness of the method is demonstrated by two numerical examples.