Paper Info
Title
${\mathcal{H}}_2$ State Feedback Control Design of Continuous-Time Positive Linear Systems.
Abstract
This technical note focuses on state feedback control design of positive linear systems in continuous-time domain. The main goal is to analyze stability and performance preserving the closed-loop system positivity. In some sense, the provided results fill the literature gap by considering the H 2 performance index. Indeed, although H state feedback control design of positive systems has received remarkable attention in the recent years, we believe that, for the first time, a numerical method able to provide a local optimal solution to this class of nonconvex control problems is addressed by means of a simple (since no line search is required) convergent sequence of convex programming problems. The theory and the algorithm behavior are illustrated and evaluated by numerical examples borrowed from the recent literature.
Year
DOI
Venue
2017
10.1109/TAC.2016.2640020
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
Control design,State feedback,Symmetric matrices,Linear systems,Closed loop systems,Performance analysis
Mathematical optimization,Limit of a sequence,Technical note,Linear system,Control theory,Symmetric matrix,Line search,Numerical analysis,Convex optimization,Mathematics,Positive systems
Journal
Volume
Issue
ISSN
62
11
0018-9286
Citations 
PageRank 
References 
1
0.35
4
Authors
2
Name
Order
Citations
PageRank
Grace S. Deaecto113015.29
José Claudio Geromel216436.34