Title :
Pseudo state feedback stabilization of commensurate fractional order systems
Author :
Farges, Christophe ; Moze, Mathieu ; Sabatier, Jocelyn
Author_Institution :
Groupe LAPS, Univ. Bordeaux 1, Talence, France
Abstract :
This paper addresses the problem of pseudo state feedback stabilization of commensurate fractional order systems. In the proposed approach, Linear Matrix Inequalities (LMI) formalism is used to check if the pseudo state matrix eigenvalues belong to the non convex fractional system stability region of the complex plane. A new LMI stability condition is first proposed. Based on this condition, a necessary and sufficient LMI method for the design of stabilizing controllers is given. Its efficiency is evaluated on an inverted fractional pendulum stabilization problem.
Keywords :
control system synthesis; linear matrix inequalities; nonlinear control systems; pendulums; stability criteria; state feedback; LMI formalism; LMI stability condition; commensurate fractional order systems; inverted fractional pendulum stabilization problem; linear matrix inequality formalism; necessary and sufficient LMI method; nonconvex fractional system stability region; pseudostate feedback stabilization; pseudostate matrix eigenvalues; stabilizing controller design; Eigenvalues and eigenfunctions; Linear matrix inequalities; Mathematical model; Numerical stability; Stability criteria; State feedback;
Conference_Titel :
Control Conference (ECC), 2009 European
Conference_Location :
Budapest
Print_ISBN :
978-3-9524173-9-3
