Geodesic
Robust $H^\infty$ control of an uncertain system via a stable decentralized output feedback controller
Kybernetika, Tome 45 (2009) no. 1, pp. 101-120

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

This paper presents a procedure for constructing a stable decentralized output feedback controller for a class of uncertain systems in which the uncertainty is described by Integral Quadratic Constraints. The controller is constructed to solve a problem of robust $H^\infty$ control. The proposed procedure involves solving a set of algebraic Riccati equations of the $H^\infty$ control type which are dependent on a number of scaling parameters. By treating the off-diagonal elements of the controller transfer function matrix as uncertainties, a decentralized controller is obtained by taking the block-diagonal part of a non-decentralized stable output feedback controller which solves the robust $H^\infty$ control problem. This approach to decentralized controller design enables the controller to exploit the coupling between the subsystems of the plant.
Classification : 93A14, 93B35, 93B36, 93B50, 93E20
Keywords: robust control; decentralized control; $H^{\infty}$ control 
@article{KYB_2009__45_1_a7,
     author = {Petersen, Ian R.},
     title = {Robust $H^\infty$ control of an uncertain system via a stable decentralized output feedback controller},
     journal = {Kybernetika},
     pages = {101--120},
     publisher = {mathdoc},
     volume = {45},
     number = {1},
     year = {2009},
     mrnumber = {2489583},
     zbl = {1158.93328},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2009__45_1_a7/}
}
TY  - JOUR
AU  - Petersen, Ian R.
TI  - Robust $H^\infty$ control of an uncertain system via a stable decentralized output feedback controller
JO  - Kybernetika
PY  - 2009
SP  - 101
EP  - 120
VL  - 45
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KYB_2009__45_1_a7/
LA  - en
ID  - KYB_2009__45_1_a7
ER  - 
%0 Journal Article
%A Petersen, Ian R.
%T Robust $H^\infty$ control of an uncertain system via a stable decentralized output feedback controller
%J Kybernetika
%D 2009
%P 101-120
%V 45
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KYB_2009__45_1_a7/
%G en
%F KYB_2009__45_1_a7
Petersen, Ian R. Robust $H^\infty$ control of an uncertain system via a stable decentralized output feedback controller. Kybernetika, Tome 45 (2009) no. 1, pp. 101-120. http://geodesic.mathdoc.fr/item/KYB_2009__45_1_a7/