Title :
Delay-dependent stabilization conditions of positive continuous-time systems
Author :
Elloumi, Walid ; Benzaouia, A. ; Chaabane, Mohamed
Author_Institution :
Nat. Sch. of Eng. of Sfax, Univ. of Sfax, Sfax, Tunisia
Abstract :
The synthesis of state feedback controller problem for the class of linear continuous-time systems with time-varying delay is solved by maintaining the positivity of the studied system in the closed-loop. Our state-feedback law is formulated by giving sufficient conditions in terms of LMIs. A numerical example with two types of time delay function is used in order to show the effectivness of our proposed method.
Keywords :
closed loop systems; continuous time systems; delays; linear matrix inequalities; linear systems; stability; state feedback; time-varying systems; LMI; closed-loop system; delay-dependent stabilization conditions; linear continuous-time systems; positive continuous-time systems; state feedback controller problem; state-feedback law; sufficient conditions; time-varying delay; Delays; Linear systems; Stability analysis; State feedback; Time-varying systems; Trajectory; LMIs; delay systems; non differentiable delay; positive systems; stabilization; time varying delay;
Conference_Titel :
Systems and Control (ICSC), 2013 3rd International Conference on
Conference_Location :
Algiers
Print_ISBN :
978-1-4799-0273-6
DOI :
10.1109/ICoSC.2013.6750911
