Feedback Control Method Using Haar Wavelet Operational Matrices for Solving Optimal Control Problems
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-21
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Most of the direct methods solve optimal control problems with nonlinear programming solver.
In this paper we propose a novel feedback control method for solving for solving affine control system, with quadratic cost functional, which makes use of only linear systems.
This method is a numerical technique, which is based on the combination of Haar wavelet collocation method and successive Generalized Hamilton-Jacobi-Bellman equation.
We formulate some new Haar wavelet operational matrices in order to manipulate Haar wavelet series.
The proposed method has been applied to solve linear and nonlinear optimal control problems with infinite time horizon.
The simulation results indicate that the accuracy of the control and cost can be improved by increasing the wavelet resolution.
American Psychological Association (APA)
Swaidan, Waleeda& Hussin, Amran. 2013. Feedback Control Method Using Haar Wavelet Operational Matrices for Solving Optimal Control Problems. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-456534
Modern Language Association (MLA)
Swaidan, Waleeda& Hussin, Amran. Feedback Control Method Using Haar Wavelet Operational Matrices for Solving Optimal Control Problems. Abstract and Applied Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-456534
American Medical Association (AMA)
Swaidan, Waleeda& Hussin, Amran. Feedback Control Method Using Haar Wavelet Operational Matrices for Solving Optimal Control Problems. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-456534
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-456534