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Application of Optimal HAM for Finding Feedback Control of Optimal Control Problems
Joint Authors
Shateyi, Stanford
Saberi Nik, Hassan
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-03
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
An optimal homotopy-analysis approach is described for Hamilton-Jacobi-Bellman equation (HJB) arising in nonlinear optimal control problems.
This optimal approach contains at most three convergence-control parameters and is computationally rather efficient.
A kind of averaged residual error is defined.
By minimizing the averaged residual error, the optimal convergence-control parameters can be obtained.
This optimal approach has general meanings and can be used to get fast convergent series solutions of different types of equations with strong nonlinearity.
The closed-loop optimal control is obtained using the Bellman dynamic programming.
Numerical examples are considered aiming to demonstrate the validity and applicability of the proposed techniques and to compare with the existing results.
American Psychological Association (APA)
Saberi Nik, Hassan& Shateyi, Stanford. 2013. Application of Optimal HAM for Finding Feedback Control of Optimal Control Problems. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1011137
Modern Language Association (MLA)
Saberi Nik, Hassan& Shateyi, Stanford. Application of Optimal HAM for Finding Feedback Control of Optimal Control Problems. Mathematical Problems in Engineering No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-1011137
American Medical Association (AMA)
Saberi Nik, Hassan& Shateyi, Stanford. Application of Optimal HAM for Finding Feedback Control of Optimal Control Problems. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1011137
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1011137