Title :
On the quadratic stability of uncertain systems in the presence of time-delays
Author :
Bourles, H. ; Kosmidou, O.I.
Author_Institution :
Direction des Etudes et Rech. 1, Electr. de France, Clamori, France
Abstract :
This paper considers the problem of quadratic stability of uncertain linear systems. The uncertainty includes a structured one. consisting of unknown but bounded parameter variations (possibly time-dependent), and the presence of unknown distributed time-delays. It is well known that an uncertain system without delays can be stabilized for all parameter variations of a given class by using a so-called "quadratically" stabilizing control law. In the present paper, it is shown that, under a sufficient condition relating the structured uncertainty and the time-delay. that control law stabilizes the delayed system as well.
Keywords :
delay systems; delays; linear systems; stability criteria; uncertain systems; delayed system; parameter variations; quadratic stability; quadratically stabilizing control law; sufficient condition; uncertain linear systems; unknown bounded parameter variations; unknown distributed time-delays; Asymptotic stability; Closed loop systems; Delay systems; Delays; Riccati equations; Uncertain systems; Uncertainty; Delay systems; robust stability; uncertain systems;
Conference_Titel :
Control Conference (ECC), 1997 European
Conference_Location :
Brussels
Print_ISBN :
978-3-9524269-0-6
