On the Design of Discrete-Time Economic Model Predictive Controllers

• Type: Article in International Conference Proceedings Book
• Date: 2016

Authors

Alessandretti, A (Author) Other; Aguiar, AP (Author) FEUP; Jones, CN (Author) Other

Conference proceedings International

Title: 2016 IEEE 55th Conference on Decision and Control, CDC 2016

Pages: 3196-3201

55th IEEE Conference on Decision and Control, CDC 2016

12 December 2016 through 14 December 2016

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 2 Citations

Other information

Authenticus ID: P-00M-DYJ

DOI: 10.1109/cdc.2016.7798749

Abstract (EN): This paper addresses the design of a suitable terminal set and terminal cost for discrete-time Economic Model Predictive Control schemes with convergence guarantees. Three design methods are proposed. The first two approaches rely on the existence of a (possibly nonlinear) auxiliary control law that stabilizes the origin of the error space defined by the distance to an economically optimal state-input trajectory pair. The first method exploits a given bound on the stage cost evaluated along the closed-loop system with the auxiliary control law. If such a bound is not available, but the auxiliary control law stabilizes the origin of the error space exponentially fast, then a second method is proposed. The last method addresses the case where the auxiliary control law is not available, but the linearization of the system around the desired economically optimal trajectory is stabilizable. Depending on the selection of the auxiliary law, the proposed method allows the design of closed-loop systems with a possibly global region of attraction even in the case of nonlinear constrained systems. An example is used to illustrate the properties of the proposed methods.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 6