Title :
Sliding mode controller design for linear time delay systems
Author :
Gouaisbaut, F. ; Perruquetti, W. ; Orlov, Y. ; Richard, J.P.
Author_Institution :
Ecole Centrale de Lille, Villeneuve d´Ascq, France
fDate :
Aug. 31 1999-Sept. 3 1999
Abstract :
The present results deal with the stabilization of linear delay systems. Stabilizing control laws proposed are of discontinuous type and constitute the main contribution of the paper. A "toolbox" used in the control synthesis is based on conversion of a state representation to a regular form and on a new delay-dependent stability criterion. Different discontinuous unit controllers ensuring the global asymptotic stability are developed. By using an appropriate Lyapunov-Krasovskii functional, the control algorithms are proven to be robust with respect to matching disturbances with apriori-known upperbounds. Also, admissible upperbounds for the delay is derived. The study is supported by an example.
Keywords :
Lyapunov methods; asymptotic stability; control system synthesis; delay systems; linear systems; stability criteria; variable structure systems; Lyapunov-Krasovskii functional; apriori-known upperbounds; control synthesis; delay-dependent stability criterion; discontinuous stabilizing control law; discontinuous unit controller; global asymptotic stability; linear time delay system stabilization; matching disturbances; sliding mode controller design; state representation; Asymptotic stability; Delay systems; Delays; Mathematical model; Robustness; Stability analysis;
Conference_Titel :
Control Conference (ECC), 1999 European
Conference_Location :
Karlsruhe
Print_ISBN :
978-3-9524173-5-5
