DocumentCode
3265764
Title
All optimal Hankel-norm approximations and their ℒ∞ error bounds in discrete-time
Author
Gu, Guoxiang
Author_Institution
Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA, USA
Volume
4
fYear
2002
fDate
10-13 Dec. 2002
Firstpage
3742
Abstract
This paper investigates a parallel problem to Glover (1984): approximate a multivariable transfer function G(z) of McMillan degree n by G(z) of McMillan degree smaller than k in discrete-time. A state-space solution is derived to the optimal Hankel-norm approximation problem, together with characterization to all optimal Hankel-norm approximations. It is shown that the L∞error bound derived in holds for discrete-time systems as well.
Keywords
Hankel matrices; approximation theory; discrete time systems; multivariable systems; state-space methods; transfer functions; L∞ error bounds; McMillan degree; discrete time systems; multivariable transfer function; optimal Hankel norm approximations; state space solution; Approximation algorithms; Computer errors; Equations; Polynomials; Radio access networks; Reduced order systems; Transfer functions;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
ISSN
0191-2216
Print_ISBN
0-7803-7516-5
Type
conf
DOI
10.1109/CDC.2002.1184946
Filename
1184946
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