An LPV approach to the guaranteed cost control for Lur´e systems

Author

Lee, S.M. ; Kwon, O.M. ; Ho-Youl Jung ; Park, J.H.

Author_Institution

Dept. of Electron. Eng., Daegu Univ., Gyungsan, South Korea

fYear

2010

fDate

June 30 2010-July 2 2010

Firstpage

3860

Lastpage

3864

Abstract

In this paper, we consider the guaranteed cost control problem of Lur´e systems which are represented by linear parameter varying (LPV) systems. Sector bounds and slope bounds are employed to a augmented Lyapunov functional through convex representation of the nonlinearities so that new less conservative conditions are obtained. The stabilization criteria are derived via linear matrix inequality (LMI) formulation that can be easily solved by convex optimization techniques. Numerical example shows effectiveness of the proposed stability condition over some existing ones.

Keywords

Lyapunov methods; control nonlinearities; convex programming; linear matrix inequalities; linear systems; nonlinear control systems; stability criteria; time-varying systems; LPV approach; Lur´e system; augmented Lyapunov functional; convex optimization techniques; convex representation; guaranteed cost control; linear matrix inequality; linear parameter varying system; nonlinearities convex representation; sector bound; slope bound; stabilization criteria; Asymptotic stability; Control systems; Control theory; Costs; Feedback; Linear matrix inequalities; Lyapunov method; Mathematical model; Nonlinear systems; Stability analysis; LMIs; Linear parameter varying; Lur´e systems; Lyapunov Function;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2010

Conference_Location

Baltimore, MD

ISSN

0743-1619

Print_ISBN

978-1-4244-7426-4

Type

conf

DOI

10.1109/ACC.2010.5531205

Filename

5531205