Title :
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
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;
Conference_Titel :
Electrotechnical Conference (MELECON), 2012 16th IEEE Mediterranean
Conference_Location :
Yasmine Hammamet
Print_ISBN :
978-1-4673-0782-6
DOI :
10.1109/MELCON.2012.6196601
