Title :
A new observer-based stabilization method for linear systems with uncertain parameters
Author :
Kheloufi, H. ; Zemouche, A. ; Bedouhene, F. ; Boutayeb, M.
Author_Institution :
Lab. de Math. Pures et Appl., Univ. Mouloud Mammeri, Tizi-Ouzou, Algeria
Abstract :
This paper deals with the problem of observer-based stabilization for linear systems with parameter uncertainties. A new design methodology is proposed thanks to a judicious use of the famous Young relation. This latter leads to a less restrictive synthesis condition, expressed in term of Linear Matrix Inequality (LMI), than those available in the literature. A numerical example is provided in order to show the validity and superiority of the proposed method.
Keywords :
control system synthesis; linear matrix inequalities; linear systems; manipulators; observers; stability; LMI; Young relation; design methodology; linear matrix inequality; linear systems; observer-based stabilization method; parameter uncertainties; single-link flexible robot manipulator; synthesis condition; Design methodology; Linear matrix inequalities; Linear systems; Lyapunov methods; Symmetric matrices; Uncertain systems; Uncertainty; Linear matrix inequalities (LMIs); Lyapunov function; Observer-based control; Uncertain linear system;
Conference_Titel :
Control Conference (ECC), 2013 European
Conference_Location :
Zurich
