Title :
Youla-Kučera parameter synthesis using invariant sets techniques
Author :
Luca, A. ; Rodriguez-Ayerbe, P. ; Dumur, D.
Author_Institution :
Autom. Control Dept., SUPELEC Syst. Sci. (E3S), Gif-sur-Yvette, France
fDate :
June 30 2010-July 2 2010
Abstract :
This paper presents a new methodology for Youla-Kučera parameter synthesis using invariant sets techniques. For a linear discrete-time system affected by perturbations and constraints and with the state derived by means of an observer, the proposed method gives the best Youla parameter in terms of finding the maximal invariant ellipsoid satisfying the constraints. As a result of this technique that combines the advantages of the Youla parameter and the invariant set, a larger maximal ellipsoid is derived together with an improved sensitivity function compared to the ones obtained for the system with observer only. In order to improve also performances, considering complementary sensitivity function and transient response toward output disturbances, a new bound is imposed to the Lyapunov function. This approach is finally validated in simulation considering position control of an induction motor.
Keywords :
discrete time systems; linear systems; observers; perturbation techniques; set theory; Lyapunov function; Youla-Kucera parameter synthesis; induction motor position control; invariant sets techniques; linear discrete-time system; maximal invariant ellipsoid; observer; perturbations; sensitivity function; Control system synthesis; Control systems; Ellipsoids; Induction motors; Lyapunov method; Observers; Position control; Robust control; Stability; Uncertainty;
Conference_Titel :
American Control Conference (ACC), 2010
Conference_Location :
Baltimore, MD
Print_ISBN :
978-1-4244-7426-4
DOI :
10.1109/ACC.2010.5531124