Exponential Stabilization of Delay Neutral ...
Document type :
Communication dans un congrès avec actes
DOI :
Title :
Exponential Stabilization of Delay Neutral Systems under Sampled-Data Control
Author(s) :
Seuret, Alexandre [Auteur]
Laboratoire d'Automatique, Génie Informatique et Signal [LAGIS]
Fridman, Emilia [Auteur]
Department of Electrical Engineering
Richard, Jean-Pierre [Auteur]
Systèmes Non Linéaires et à Retards [SyNeR]
Algebra for Digital Identification and Estimation [ALIEN]
Laboratoire d'Automatique, Génie Informatique et Signal [LAGIS]
Fridman, Emilia [Auteur]
Department of Electrical Engineering
Richard, Jean-Pierre [Auteur]
Systèmes Non Linéaires et à Retards [SyNeR]
Algebra for Digital Identification and Estimation [ALIEN]
Conference title :
Intelligent Control, 2005. Proceedings of the 2005 IEEE International Symposium on, Mediterranean Conference on Control and Automation
City :
Cyprus
Country :
Chypre
Start date of the conference :
2005-06-27
Book title :
Exponential Stabilization of Delay Neutral Systems under Sampled-Data Control
Publication date :
2005-06-27
English keyword(s) :
Time-varying delay
Neutral system
Sampled-data control
Stabilization
LMI
Flexible rod.
Flexible rod
Neutral system
Sampled-data control
Stabilization
LMI
Flexible rod.
Flexible rod
HAL domain(s) :
Sciences de l'ingénieur [physics]/Automatique / Robotique
English abstract : [en]
This paper considers the exponential stabilization of delay systems of the neutral type via sampled-data control. The control input of the neutral system can present a delay, constant or variable. The sampling period is ...
Show more >This paper considers the exponential stabilization of delay systems of the neutral type via sampled-data control. The control input of the neutral system can present a delay, constant or variable. The sampling period is not necessarily constant. It is only assumed that the time between to successive sampling instants is bounded. Since the sampling effect (sampling and zero-holder) is equivalent to a variable delay, the resulting system is modelled as a continuous-time one, where the control input has a ‘non-small' time-varying delay belonging to some interval [h−μ,h+μ]. For instance, h−μ may represent the minimum input delay, and 2μ the additional delay generated by the combination of the sampling effect with the input delay variation. This results in a system with ‘nonsmall' time-varying delays (i.e. delays with a known and nonzero minimum value), the exponential stabilization of which is possible under LMI conditions. Two examples are provided. The first one deals with the sampled-data control of a neutral system. The second one considers the stabilization of a flexible rod with continuous, delayed control.Show less >
Show more >This paper considers the exponential stabilization of delay systems of the neutral type via sampled-data control. The control input of the neutral system can present a delay, constant or variable. The sampling period is not necessarily constant. It is only assumed that the time between to successive sampling instants is bounded. Since the sampling effect (sampling and zero-holder) is equivalent to a variable delay, the resulting system is modelled as a continuous-time one, where the control input has a ‘non-small' time-varying delay belonging to some interval [h−μ,h+μ]. For instance, h−μ may represent the minimum input delay, and 2μ the additional delay generated by the combination of the sampling effect with the input delay variation. This results in a system with ‘nonsmall' time-varying delays (i.e. delays with a known and nonzero minimum value), the exponential stabilization of which is possible under LMI conditions. Two examples are provided. The first one deals with the sampled-data control of a neutral system. The second one considers the stabilization of a flexible rod with continuous, delayed control.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
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