Paper Info
Title
Frequency-weighted /spl Lscr//sub /spl infin// norm and optimal Hankel norm model reduction
Abstract
A new relative error model reduction method is proposed using frequency-weighted balanced realization, and explicit /spl Lscr//sub /spl infin// norm error bounds are also derived for the relative error and multiplicative error. The method only needs to solve two Lyapunov equations. It is further shown that this method is equivalent to the balanced stochastic truncation if the plant is square and minimum phase. This paper also gives a complete solution to the frequency-weighted Hankel norm approximation with antistable weighting. These results are then applied to /spl Lscr//sub /spl infin// norm model reduction, and several numerically effective algorithms are proposed. It is shown through many numerical examples that these algorithms work very well and in many cases produce almost optimal solutions.
Year
DOI
Venue
1995
10.1109/9.467681
IEEE Transactions on Automatic Control
Keywords
DocType
Volume
Frequency,Reduced order systems,Approximation methods,Stochastic processes,Approximation error,Equations,Binary search trees
Journal
40
Issue
ISSN
Citations 
10
0018-9286
32
PageRank 
References 
Authors
4.00
0
1
Name
Order
Citations
PageRank
Kemin Zhou137259.31