Title :
Semidiscrete approximation and renorming in control of distributed parameter systems
Author_Institution :
Dept. of Math. & Stat., Univ. of North Carolina at Greensboro, Greensboro, NC, USA
fDate :
June 30 2010-July 2 2010
Abstract :
We consider finite dimensional semidiscrete approximation of an LQR control problem with dynamics governed by a distributed parameter system. We investigate how changing the norm on the state space affects the resulting finite dimensional control problem. Numerical results are given for examples in delay equations and elastic structures.
Keywords :
approximation theory; delays; discrete systems; distributed parameter systems; linear quadratic control; multidimensional systems; LQR control problem; delay equation; distributed parameter system; elastic structure; finite dimensional semidiscrete approximation; Control systems; Cost function; Delay; Distributed control; Distributed parameter systems; Eigenvalues and eigenfunctions; Hilbert space; Riccati equations; State-space methods; Time of arrival estimation;
Conference_Titel :
American Control Conference (ACC), 2010
Conference_Location :
Baltimore, MD
Print_ISBN :
978-1-4244-7426-4
DOI :
10.1109/ACC.2010.5530917
