DocumentCode
2573067
Title
Approximation of feedback gain in LQR control of a neutral delay-differential equation
Author
Fabiano, R.H.
Author_Institution
Dept. of Math. & Stat., Univ. of North Carolina at Greensboro, Greensboro, NC, USA
fYear
2010
fDate
15-17 Dec. 2010
Firstpage
876
Lastpage
880
Abstract
We consider finite dimensional semidiscrete approximation of an LQR control problem with dynamics governed by a neutral delay-differential equation. A test problem is constructed for which the exact feedback functional gain is determined. This problem is used to compare convergence behavior of two different linear spline Galerkin approximation schemes, and numerical results are presented.
Keywords
Galerkin method; approximation theory; convergence of numerical methods; delay-differential systems; discrete systems; feedback; linear quadratic control; splines (mathematics); LQR control; convergence behavior; feedback functional gain; finite dimensional semidiscrete approximation; linear spline Galerkin approximation; neutral delay differential equation; test problem; Approximation methods; Convergence; Moment methods; Piecewise linear approximation; Riccati equations; Spline;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control (CDC), 2010 49th IEEE Conference on
Conference_Location
Atlanta, GA
ISSN
0743-1546
Print_ISBN
978-1-4244-7745-6
Type
conf
DOI
10.1109/CDC.2010.5717449
Filename
5717449
Link To Document