Parameter Dependent Lyapunov functions for stability of Linear Parameter Varying systems

Author

Aouani, N. ; Salhi, S. ; Garcia, G. ; Ksouri, M.

Author_Institution

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

fYear

2010

fDate

12-15 Dec. 2010

Firstpage

1002

Lastpage

1005

Abstract

The problem in this paper consists in developing a new robust stability condition for Linear Parameter Varying (LPV) continuous systems, under polytopic uncertainty structure. The main skill is the use of Parameter Dependent Lyapunov functions with (PDLFs) particular forms. The article hinges upon an analysis stability test for polytopic uncertain systems. The main result is given in terms of LMI-based conditions. A numerical example illustrates the accuracy of the proposed approach and some comparisons with previously established results show its efficiency.

Keywords

Lyapunov methods; continuous systems; linear matrix inequalities; linear systems; robust control; stability; time-varying systems; continuous systems; linear matrix inequalities; linear parameter varying systems; parameter dependent Lyapunov functions; polytopic uncertainty structure; robust stability condition; system stability; Helium; Numerical models; Robustness; PDLFs of particular forms; polytopic uncertainty; stability analysis; uncertain LPV systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Electronics, Circuits, and Systems (ICECS), 2010 17th IEEE International Conference on

Conference_Location

Athens

Print_ISBN

978-1-4244-8155-2

Type

conf

DOI

10.1109/ICECS.2010.5724683

Filename

5724683