Optimal control of lumped parameter systems via shifted Legendre polynomial approximation
type: Item
instance of: scholarly article
title: Optimal control of lumped parameter systems via shifted Legendre polynomial approximation
zbMATH Open document ID: 0536.93032
DOI: 10.1007/BF00939983
author: N. E. Zubov
published in: Journal of Optimization Theory and Applications
publication date: 1985-01-01T00:00:00Z
review text: Shifted Legendre polynomial functions are employed to solve the linear- quadratic optimal control problem for a lumped parameter system. Using the characteristics of the shifted Legendre polynomials, the system equations and the adjoint equations of the optimal control problem are reduced to functional ordinary differential equations. The solution of the functional differential equations are obtained in a series of the shifted Legendre functions. The operational matrix for the integration of the shifted Legendre polynomial functions is also introduced in the simulation step in order to simplify the computational procedure. An illustrative example of an optimal control problem is given, and the computational results are compared with those of the exact solution. The proposed method is effective and accurate.
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 44A45
Mathematics Subject Classification ID: 34K99
zbMATH DE Number: 3852900
zbMATH Keywords: shifted Legendre polynomials
zbMATH Keywords: operational matrix
zbMATH Keywords: linear-quadratic optimal control
MaRDI profile type: Publication
cites work: Q5580002
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full work available at URL: https://doi.org/10.1007/bf00939983
OpenAlex ID: W1979159302
description: scientific article; zbMATH DE number 3852900