Title
Relative/multiplicative model reduction for unstable and non-minimum-phase systems
Abstract
This paper considers the relative/multiplicative model reduction for unstable and non-minimum-phase systems using generalized frequency-weighted normal representations. The proposed method only requires solving two Lyapunov equations with possibly indefinite solutions, and preserves the number of unstable poles (and the number of zeros in the square case). Furthermore, a priori L∞-norm error bounds are also derived for the relative approximation error and the multiplicative approximation error.
Year
DOI
Venue
1995
10.1016/0005-1098(95)00027-T
Automatica
Keywords
Field
DocType
Model reduction,relative error,multiplicative error,unstable systems,non-minimum-phase systems,error bounds,Riccati equations
Lyapunov function,Mathematical optimization,Multiplicative model,Multiplicative function,Control theory,A priori and a posteriori,Riccati equation,Mathematics,Approximation error,Minimum phase
Journal
Volume
Issue
ISSN
31
8
0005-1098
Citations 
PageRank 
References 
2
0.72
1
Authors
1
Name
Order
Citations
PageRank
Kemin Zhou137259.31