An improved stability criterion for a class of Lur’e systems

Author

Li, Guang ; Heath, William P. ; Lennox, Barry

Author_Institution

Bristol Univ., Bristol

fYear

2007

fDate

12-14 Dec. 2007

Firstpage

4483

Lastpage

4488

Abstract

We consider the stability of the feedback connection of a linear time invariant (LTI) plant with a static nonlinearity expressed by a certain class of quadratic program. By generalizing the class of candidate Lyapunov functions we improve on existing results in the literature. A Lyapunov function is constructed via the S-procedure from quadratic constraints established using the Karush-Kuhn-Tucker (KKT) conditions. The stability criterion can be expressed as a linear matrix inequality (LMI) condition. We discuss some simple examples that demonstrate the improved results.

Keywords

Lyapunov methods; feedback; linear matrix inequalities; linear systems; nonlinear control systems; quadratic programming; stability criteria; Lur´e systems; Lyapunov functions; linear matrix inequality; linear time invariant; quadratic program; stability criterion; static nonlinearity; Automatic testing; Control systems; Electronic equipment testing; Feedback; Lyapunov method; Quadratic programming; Stability analysis; Stability criteria; System testing; Temperature control;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2007 46th IEEE Conference on

Conference_Location

New Orleans, LA

ISSN

0191-2216

Print_ISBN

978-1-4244-1497-0

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2007.4434600

Filename

4434600