Linear quadratic tracking with continuous conformable derivatives

Linear quadratic tracking with continuous conformable derivatives

In this paper, we formulate the Linear Quadratic Tracker (LQT) for linear, continuous conformable control systems. Here, we use the system first introduced by Khalil, et al. We obtain an affine optimal control that minimizes a quadratic cost functional associated with a completely observable system....

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:European journal of control 2023-07, Vol.72, p.100808, Article 100808
Hauptverfasser: Cuchta, Tom, Poulsen, Dylan, Wintz, Nick
Format: Artikel
Sprache:eng
Schlagworte:
Conformable derivative
Optimal control
Regulator problem
Riccati equation
Simulation
Tracking problem
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we formulate the Linear Quadratic Tracker (LQT) for linear, continuous conformable control systems. Here, we use the system first introduced by Khalil, et al. We obtain an affine optimal control that minimizes a quadratic cost functional associated with a completely observable system. In addition, we offer an affine optimal control for the fixed final state case expressed in terms of the current state. Finally, we provide numerical simulations for relevant applications.
ISSN:0947-3580
1435-5671
DOI:10.1016/j.ejcon.2023.100808