A sliding mode control for linear systems with input and state delays

Author

Gouaisbaut, Frederic ; Perruquetti, W. ; Richard, J.P.

Author_Institution

LAIL, Ecole Centrale de Lille, Villeneuve d´´Ascq, France

Volume

4

fYear

1999

fDate

6/21/1905 12:00:00 AM

Firstpage

4234

Abstract

This paper describes a variable structure control for linear multi-input delayed systems. The first part develops some new delay-dependent stability criterion to be used further in the control synthesis. On this basis, two different discontinuous unit controllers ensuring the global asymptotic stability are developed. The original contribution is to allow delayed inputs; the calculation of admissible upper bounds for the delay is provided by using an appropriate Lyapunov-Krasovskii functional. A final example illustrates the study

Keywords

Lyapunov methods; asymptotic stability; control system synthesis; delay systems; linear systems; multivariable control systems; stability criteria; variable structure systems; Lyapunov-Krasovskii functional; VSC; VSS; admissible upper bounds; control synthesis; delay-dependent stability criterion; discontinuous unit controllers; global asymptotic stability; input delays; linear multi-input delayed systems; sliding mode control; state delays; variable structure control; Asymptotic stability; Control systems; Delay lines; Delay systems; Linear systems; Relays; Robust control; Robustness; Sliding mode control; Stability criteria;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1999. Proceedings of the 38th IEEE Conference on

Conference_Location

Phoenix, AZ

ISSN

0191-2216

Print_ISBN

0-7803-5250-5

Type

conf

DOI

10.1109/CDC.1999.828026

Filename

828026