Title :
Stabilization of LPV positive systems
Author :
Ait Rami, M. ; Boulkroune, B. ; Hajjaji, A. ; Pages, O.
Author_Institution :
MIS Lab., Univ. of Picardie Jules Verne, Amiens, France
Abstract :
This paper considers the stabilization issue for continuous-time linear parameter varying (LPV) positive systems. The time varying parameters are known and are modeled as belonging to the simplex set. The proposed stabilization approach relies on a parameter dependent Lyapunov function combined with a subtle choice of a slack variable that is not necessary diagonal. In fact, due to the positivity constraint on the closed-loop system the slack variable is chosen to be a Metzler matrix. Indeed, the particular case when the slack matrix is diagonal may work but the resulting stabilization conditions can be conservative. This fact is illustrated by a comparison example.
Keywords :
Lyapunov methods; closed loop systems; continuous time systems; linear systems; matrix algebra; set theory; stability; LPV positive system stabilization; Metzler matrix; closed-loop system; continuous-time linear parameter varying positive system; parameter dependent Lyapunov function; simplex set; slack matrix; Closed loop systems; Conferences; Linear systems; Lyapunov methods; Stability analysis; Vectors;
Conference_Titel :
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location :
Los Angeles, CA
Print_ISBN :
978-1-4799-7746-8
DOI :
10.1109/CDC.2014.7040133