Stability of Linear Parameter Varying systems based on Parameter Dependent Lyapunov functions

Author

Aouani, Nedia ; Salhi, Salah ; Garcia, Germain ; Ksouri, Mekki

Author_Institution

Res. Unit of Syst. Anal. & Control, Nat. Sch. Eng. of Tunis, Le Belvédère, Tunisia

fYear

2012

fDate

25-28 March 2012

Firstpage

1021

Lastpage

1024

Abstract

In this paper, the problem consists in developing a new robust stability condition for Linear Parameter Varying (LPV) continuous systems, under polytopic uncertainty structure. Using Parameter Dependent Lyapunov functions with (PDLFs) particular forms is the main skill. The article hinges upon an analysis stability test for polytopic uncertain systems. Also, we implement a novel formulation for the time derivative of the parameter dependent Lyapunov function and the main result is given in terms of LMI-based conditions. A numerical example illustrates the accuracy of the proposed approach.

Keywords

Lyapunov methods; continuous systems; linear matrix inequalities; robust control; LMI-based conditions; analysis stability testing; linear parameter varying system stability; parameter dependent Lyapunov functions; polytopic uncertainty structure; robust stability condition; Asymptotic stability; Lyapunov methods; Numerical stability; Robust stability; Stability analysis; Symmetric matrices; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrotechnical Conference (MELECON), 2012 16th IEEE Mediterranean

Conference_Location

Yasmine Hammamet

ISSN

2158-8473

Print_ISBN

978-1-4673-0782-6

Type

conf

DOI

10.1109/MELCON.2012.6196601

Filename

6196601