TY - GEN

T1 - Exponential stabilization of delay neutral systems under sampled-data control

AU - Seuret, Alexandre

AU - Fridman, Emilia

AU - Richard, Jean Pierre

PY - 2005

Y1 - 2005

N2 - 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 'non-small' time-varying delays (i.e. delays with a known and non-zero 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

AB - 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 'non-small' time-varying delays (i.e. delays with a known and non-zero 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

KW - Flexible rod

KW - LMI

KW - Neutral system

KW - Sampleddata control

KW - Stabilization

KW - Time-varying delay

UR - http://www.scopus.com/inward/record.url?scp=33745206078&partnerID=8YFLogxK

U2 - 10.1109/.2005.1467200

DO - 10.1109/.2005.1467200

M3 - ???researchoutput.researchoutputtypes.contributiontobookanthology.conference???

AN - SCOPUS:33745206078

SN - 0780389360

SN - 9780780389366

T3 - Proceedings of the 20th IEEE International Symposium on Intelligent Control, ISIC '05 and the 13th Mediterranean Conference on Control and Automation, MED '05

SP - 1281

EP - 1285

BT - Proceedings of the 20th IEEE International Symposium on Intelligent Control, ISIC '05 and the 13th Mediterranean Conference on Control and Automation, MED '05

PB - IEEE Computer Society

T2 - 20th IEEE International Symposium on Intelligent Control, ISIC '05 and the13th Mediterranean Conference on Control and Automation, MED '05

Y2 - 27 June 2005 through 29 June 2005

ER -