Title :
Approximation of feedback gain in LQR control of a neutral delay-differential equation
Author_Institution :
Dept. of Math. & Stat., Univ. of North Carolina at Greensboro, Greensboro, NC, USA
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;
Conference_Titel :
Decision and Control (CDC), 2010 49th IEEE Conference on
Conference_Location :
Atlanta, GA
Print_ISBN :
978-1-4244-7745-6
DOI :
10.1109/CDC.2010.5717449
