Comments on the Bellman functional for linear time‐delay systems

Comments on the Bellman functional for linear time‐delay systems

In this note, we present some complementary results on the infinite horizon optimal control for linear time‐delay systems. We formally establish some properties of the matrices arising in the Bellman functional, and we prove that any admissible linear control law generates only a class of Bellman fu...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Optimal control applications & methods 2021-09, Vol.42 (5), p.1531-1540
Hauptverfasser: Ortega‐Martínez, Jorge‐Manuel, Santos‐Sánchez, Omar‐Jacobo, Mondié, Sabine
Format: Artikel
Sprache:eng
Schlagworte:
Automation & Control Systems
Bellman functional
Control theory
Linear control
Mathematical analysis
Mathematics
Mathematics, Applied
Operations Research & Management Science
Optimal control
Physical Sciences
Proportional integral
Science & Technology
Technology
time‐delay systems
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this note, we present some complementary results on the infinite horizon optimal control for linear time‐delay systems. We formally establish some properties of the matrices arising in the Bellman functional, and we prove that any admissible linear control law generates only a class of Bellman functional for addressed systems. Additionally, experimental results are presented, which illustrate a satisfactory control performance when is compared with an optimal proportional integral industrial control.
ISSN:0143-2087
1099-1514
DOI:10.1002/oca.2726