DocumentCode :
3287258
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
fYear :
2010
fDate :
June 30 2010-July 2 2010
Firstpage :
5626
Lastpage :
5631
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;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
American Control Conference (ACC), 2010
Conference_Location :
Baltimore, MD
ISSN :
0743-1619
Print_ISBN :
978-1-4244-7426-4
Type :
conf
DOI :
10.1109/ACC.2010.5531124
Filename :
5531124
Link To Document :
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