Stability and L2-gain analysis of Networked ...
Document type :
Article dans une revue scientifique
Title :
Stability and L2-gain analysis of Networked Control Systems under Round-Robin scheduling: A time-delay approach
Author(s) :
Liu, Kun [Auteur]
Department of Electrical Engineering
Fridman, Emilia [Auteur]
Department of Electrical Engineering
HETEL, Laurentiu [Auteur]
Systèmes Non Linéaires et à Retards [SyNeR]
Department of Electrical Engineering
Fridman, Emilia [Auteur]
Department of Electrical Engineering
HETEL, Laurentiu [Auteur]

Systèmes Non Linéaires et à Retards [SyNeR]
Journal title :
Systems and Control Letters
Pages :
666 - 675
Publisher :
Elsevier
Publication date :
2012-05-01
ISSN :
0167-6911
English keyword(s) :
Networked Control Systems
Scheduling protocols
Lyapunov-Krasovskii method
Scheduling protocols
Lyapunov-Krasovskii method
HAL domain(s) :
Sciences de l'ingénieur [physics]/Automatique / Robotique
English abstract : [en]
This paper analyzes the exponential stability and the induced L2-gain of Networked Control Systems (NCS) that are subject to time-varying transmission intervals, time-varying transmission delays and communication constraints. ...
Show more >This paper analyzes the exponential stability and the induced L2-gain of Networked Control Systems (NCS) that are subject to time-varying transmission intervals, time-varying transmission delays and communication constraints. The system sensor nodes are supposed to be distributed over a network. The scheduling of sensor information towards the controller is ruled by the classical Round-Robin protocol. We develop a time-delay approach for this problem by presenting the closed-loop system as a switched system with multiple and ordered time-varying delays. Linear Matrix Inequalities (LMIs) are derived via appropriate Lyapunov-Krasovskii-based methods. Polytopic uncertainties in the system model can be easily included in the analysis. The efficiency of the method is illustrated on the batch reactor and on the cart-pendulum benchmark problems. Our results essentially improve the hybrid system-based ones and, for the first time, allow treating the case of non-small network-induced delay, which can be greater than the sampling interval.Show less >
Show more >This paper analyzes the exponential stability and the induced L2-gain of Networked Control Systems (NCS) that are subject to time-varying transmission intervals, time-varying transmission delays and communication constraints. The system sensor nodes are supposed to be distributed over a network. The scheduling of sensor information towards the controller is ruled by the classical Round-Robin protocol. We develop a time-delay approach for this problem by presenting the closed-loop system as a switched system with multiple and ordered time-varying delays. Linear Matrix Inequalities (LMIs) are derived via appropriate Lyapunov-Krasovskii-based methods. Polytopic uncertainties in the system model can be easily included in the analysis. The efficiency of the method is illustrated on the batch reactor and on the cart-pendulum benchmark problems. Our results essentially improve the hybrid system-based ones and, for the first time, allow treating the case of non-small network-induced delay, which can be greater than the sampling interval.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
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