Synthesis of controllers for continuous-time delay systems with saturating controls via LMIs

Author

Tarbouriech, Sophie ; Silva, Joao Manoel Gomes da, Jr.

Author_Institution

LAAS-CNRS, Toulouse, France

Volume

45

Issue

1

fYear

2000

fDate

1/1/2000 12:00:00 AM

Firstpage

105

Lastpage

111

Abstract

The stabilization of linear continuous-time systems with time delay in the state and subject to saturating controls is addressed. Sufficient conditions obtained via a linear matrix inequality (LMI) formulation are stated to guarantee both the local stabilization and the satisfaction of some performance requirements. The method of synthesis consists in determining simultaneously a state feedback control law and an associated domain of safe admissible states for which the stability of the closed-loop system is guaranteed when control saturations effectively occur

Keywords

closed loop systems; continuous time systems; controllers; delay systems; stability; state feedback; closed-loop system; continuous-time delay systems; controllers synthesis; linear matrix inequality; local stabilization; performance requirements; saturating controls; stabilization; state feedback control law; sufficient conditions; Control system synthesis; Control systems; Delay effects; Delay systems; Linear matrix inequalities; Linear systems; Open loop systems; Stability; State feedback; Symmetric matrices;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.827364

Filename

827364