An optimal control for a homogeneous linear dynamical systems
Other Title(s)
التحكم الأمثل للأنظمة الديناميكية الخطية المتجانسة
Author
Source
An-Najah University Journal for Research-A : Natural Sciences
Issue
Vol. 33, Issue 1 (28 Feb. 2019), pp.93-114, 22 p.
Publisher
An-Najah National University Deanship of Scientific Research
Publication Date
2019-02-28
Country of Publication
Palestine (West Bank)
No. of Pages
22
Main Subjects
Abstract EN
In this article we introduce an approach to find the optimal control for homogeneous linear dynamical systems.
We introduce the linear quadratic regulator problem for the reduced order model of a dynamical system.
We apply the singular perturbation approximations techniques to the original system and obtained our reduced order system.
In this paper, our goal is to examine the solution of the problem as the positive parameter e tends to zero.
Our approach that is based on a formal asymptotic expansion of an algebraic Riccati equations associated with the Pontryagin maximum principle.
We derive an approximate expressions for the optimal feedback controls.
We compute the L2-norm beween the optimal control of the original and reduced system and compare it with the L2-norm of the solution of the Riccati equations of the original and reduced systems.
We test the results numerically and obtained a good closed-loop performance for the model reduction.
American Psychological Association (APA)
Daraghimah, Adnan. 2019. An optimal control for a homogeneous linear dynamical systems. An-Najah University Journal for Research-A : Natural Sciences،Vol. 33, no. 1, pp.93-114.
https://search.emarefa.net/detail/BIM-1024641
Modern Language Association (MLA)
Daraghimah, Adnan. An optimal control for a homogeneous linear dynamical systems. An-Najah University Journal for Research-A : Natural Sciences Vol. 33, no. 1 (Feb. 2019), pp.93-114.
https://search.emarefa.net/detail/BIM-1024641
American Medical Association (AMA)
Daraghimah, Adnan. An optimal control for a homogeneous linear dynamical systems. An-Najah University Journal for Research-A : Natural Sciences. 2019. Vol. 33, no. 1, pp.93-114.
https://search.emarefa.net/detail/BIM-1024641
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 112-114
Record ID
BIM-1024641