TY - GEN
T1 - Input-output approach to the control of time-delayed systems
AU - Suplin, V.
AU - Fridman, E.
AU - Shaked, U.
PY - 2005
Y1 - 2005
N2 - An equivalence is established between the sufficient conditions obtained for stability, and consequently for H∞, -type performance, of linear retarded systems and the conditions that are achieved for stability and performance of systems without delay but with norm-bounded uncertainties. In the past, such an equivalence has been found for conditions that were derived for retarded systems using various model transformations. It is shown in this paper that such an equivalence also exists when the more recent and the more efficient descriptor model transformation is used to derive the corresponding sufficient conditions. The new input-output approach is applied also to the case of 'non-small' delay (delay in a segment that starts from a positive value) and to state-feedback sampled-data control.
AB - An equivalence is established between the sufficient conditions obtained for stability, and consequently for H∞, -type performance, of linear retarded systems and the conditions that are achieved for stability and performance of systems without delay but with norm-bounded uncertainties. In the past, such an equivalence has been found for conditions that were derived for retarded systems using various model transformations. It is shown in this paper that such an equivalence also exists when the more recent and the more efficient descriptor model transformation is used to derive the corresponding sufficient conditions. The new input-output approach is applied also to the case of 'non-small' delay (delay in a segment that starts from a positive value) and to state-feedback sampled-data control.
KW - Norm-bounded uncertainty
KW - Sampled data systems
KW - Stability of retarded systems
KW - Time-delay
UR - http://www.scopus.com/inward/record.url?scp=33745196913&partnerID=8YFLogxK
U2 - 10.1109/.2005.1469813
DO - 10.1109/.2005.1469813
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AN - SCOPUS:33745196913
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 - 1556
EP - 1560
BT - Proceedings of the 20th IEEE International Symposium on Intelligent Control, ISIC '05 and the 13th Mediterranean Conference on Control and Automation, MED '05
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 -