Title :
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
fDate :
June 30 2010-July 2 2010
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;
Conference_Titel :
American Control Conference (ACC), 2010
Conference_Location :
Baltimore, MD
Print_ISBN :
978-1-4244-7426-4
DOI :
10.1109/ACC.2010.5531205
