Title :
All optimal Hankel-norm approximations and their ℒ∞ error bounds in discrete-time
Author_Institution :
Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA, USA
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;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184946
