Stability criteria for bilinear systems with delayed state and saturating actuators

Author

Niculescu, Silviu-Iulian ; Tarbouriech, Sophie ; Dion, Jean-Michel ; Dugard, Luc

Author_Institution

LAG, ENSIEG, St.-Martin-d´´Heres, France

Volume

2

fYear

1995

fDate

13-15 Dec 1995

Firstpage

2064

Abstract

In this paper, the problem of the closed-loop stability of a class of bilinear systems with delayed state and saturating actuators is considered. Delay-independent sufficient conditions for the uniform asymptotic stability of the closed-loop system via a memoryless static state feedback are developed. The closed-loop stability conditions and the corresponding memoryless control laws are expressed in terms of symmetric positive definite solutions of appropriate finite dimensional algebraic Riccati equations

Keywords

Riccati equations; asymptotic stability; bilinear systems; closed loop systems; memoryless systems; stability criteria; state feedback; bilinear systems; closed-loop stability; closed-loop system; delay-independent sufficient conditions; delayed state; finite dimensional algebraic Riccati equations; memoryless static state feedback; saturating actuators; stability criteria; symmetric positive definite solutions; uniform asymptotic stability; Actuators; Asymptotic stability; Control systems; Delay systems; Nonlinear systems; Riccati equations; Stability criteria; State feedback; Sufficient conditions; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1995., Proceedings of the 34th IEEE Conference on

Conference_Location

New Orleans, LA

ISSN

0191-2216

Print_ISBN

0-7803-2685-7

Type

conf

DOI

10.1109/CDC.1995.480652

Filename

480652