Title
An LMI Solution for Disk Pole Location with H2 Guaranteed Cost
Abstract
In this paper, the problem of robust pole assignment in a disk with an H-2 guaranteed cost design is addressed. The uncertain systems considered are of norm bounded type and continuous as well as discrete time. The set of gains which assigns the closed-loop poles in a disk is characterised through a Linear Matrix Inequality (LMI). A way for selecting a gain in this set, which minimises an upper H-2 norm bound on the transfer matrix between a perturbation and a controlled output, is presented. It consists in solving a convex optimisation problem with a linear criterion and an LMI as a constraint.
Year
DOI
Venue
1995
10.1016/S0947-3580(95)70007-3
European Journal of Control
Keywords
Field
DocType
H2 guaranteed cost control,Norm bounded uncertainty,Quadratic stabilizability,Uncertain systems
Mathematical optimization,Bounded type,Control theory,Control engineering,Regular polygon,Transfer matrix,Discrete time and continuous time,Norm (mathematics),Uncertain systems,Linear matrix inequality,Perturbation (astronomy),Mathematics
Journal
Volume
Issue
ISSN
1
1
0947-3580
Citations 
PageRank 
References 
1
0.39
1
Authors
3
Name
Order
Citations
PageRank
Germain Garcia112120.34
Jacques Bernussou236655.44
Denis Arzelier327926.58