An Efficient Pseudospectral Method for Solving a Class of Nonlinear Optimal Control Problems
Joint Authors
Noghabi, S. Lotfi
Tohidi, Emran
Kiliçman, Adem
Pasban, Atena
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-17
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
This paper gives a robust pseudospectral scheme for solving a class of nonlinear optimal control problems (OCPs) governed by differential inclusions.
The basic idea includes two major stages.
At the first stage, we linearize the nonlinear dynamical system by an interesting technique which is called linear combination property of intervals.
After this stage, the linearized dynamical system is transformed into a multi domain dynamical system via computational interval partitioning.
Moreover, the integral form of this multidomain dynamical system is considered.
Collocating these constraints at the Legendre Gauss Lobatto (LGL) points together with using the Legendre Gauss Lobatto quadrature rule for approximating the involved integrals enables us to transform the basic OCPs into the associated nonlinear programming problems (NLPs).
In all parts of this procedure, the associated control and state functions are approximated by piecewise constants and piecewise polynomials, respectively.
An illustrative example is provided for confirming the accuracy and applicability of the proposed idea.
American Psychological Association (APA)
Tohidi, Emran& Pasban, Atena& Kiliçman, Adem& Noghabi, S. Lotfi. 2013. An Efficient Pseudospectral Method for Solving a Class of Nonlinear Optimal Control Problems. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-465561
Modern Language Association (MLA)
Tohidi, Emran…[et al.]. An Efficient Pseudospectral Method for Solving a Class of Nonlinear Optimal Control Problems. Abstract and Applied Analysis No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-465561
American Medical Association (AMA)
Tohidi, Emran& Pasban, Atena& Kiliçman, Adem& Noghabi, S. Lotfi. An Efficient Pseudospectral Method for Solving a Class of Nonlinear Optimal Control Problems. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-465561
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-465561