INTERPOLATION WITH MULTIPLE NORM CONSTRAINTS

Authors
PRASANTH RK ROTEA MA
Citation
Rk. Prasanth et Ma. Rotea, INTERPOLATION WITH MULTIPLE NORM CONSTRAINTS, MCSS. Mathematics of control, signals and systems, 10(2), 1997, pp. 165-187
Citations number
18
Categorie Soggetti
Controlo Theory & Cybernetics","Engineering, Eletrical & Electronic",Mathematics,"Robotics & Automatic Control
Journal title
MCSS. Mathematics of control, signals and systems → ACNP
ISSN journal
09324194
Volume
10
Issue
2
Year of publication
1997
Pages
165 - 187
Database
ISI
SICI code
0932-4194(1997)10:2<165:IWMNC>2.0.ZU;2-L
Abstract
This paper considers the problem of finding matrix-valued rational fun ctions that satisfy two-sided residue interpolation conditions subject to norm constraints on their components. It is shown that this proble m can be reduced to a finite-dimensional convex optimization problem. As an application, we show that under suitable assumptions on the plan t, multiple objective H-2 and H-infinity, control problems admit finit e-dimensional optimal solutions and that such solutions can be compute d using finite-dimensional convex programs.