An efficient pseudospectral method for solving a class of nonlinear optimal control problems
type: Item
instance of: scholarly article
title: An efficient pseudospectral method for solving a class of nonlinear optimal control problems
zbMATH Open document ID: 1291.49020
DOI: 10.1155/2013/357931
author: Emran Tohidi
author: Atena Pasban
author: S. Lotfi Noghabi
author: Adem Kilicman
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 49M25
zbMATH DE Number: 6306686
Wikidata QID: Q58916026
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/357931
OpenAlex ID: W2171701494
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description: scientific article; zbMATH DE number 6306686