Title :
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
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;
Conference_Titel :
Electronics, Circuits, and Systems (ICECS), 2010 17th IEEE International Conference on
Conference_Location :
Athens
Print_ISBN :
978-1-4244-8155-2
DOI :
10.1109/ICECS.2010.5724683
