Geodesic
Non-fragile controllers for a class of time-delay nonlinear systems
Kybernetika, Tome 45 (2009) no. 1, pp. 15-32

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

The paper deals with the synthesis of a non-fragile state controller with reduced design complexity for a class of continuous-time nonlinear delayed symmetric composite systems. Additive controller gain perturbations are considered. Both subsystems and interconnections include time-delays. A low-order control design system is first constructed. Then, stabilizing controllers with norm bounded gain uncertainties are designed for the control design system using linear matrix inequalities (LMIs) for both delay-independent and delay-dependent stability approaches. The main result shows that when such a non-fragile low-order controllers are implemented into each local controller of the decentralized controller for the global system, the global closed-loop systems are globally asymptotically stable.
Classification : 93A14, 93A15, 93B51, 93C10, 93D15
Keywords: decentralized control; large scale complex systems; nonlinear systems; continuous-time systems; delay; reduced-order systems 
@article{KYB_2009__45_1_a2,
     author = {Bakule, Lubom{\'\i}r and Sen, Manuel de la},
     title = {Non-fragile controllers for a class of time-delay nonlinear systems},
     journal = {Kybernetika},
     pages = {15--32},
     publisher = {mathdoc},
     volume = {45},
     number = {1},
     year = {2009},
     mrnumber = {2489578},
     zbl = {1158.93302},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2009__45_1_a2/}
}
TY  - JOUR
AU  - Bakule, Lubomír
AU  - Sen, Manuel de la
TI  - Non-fragile controllers for a class of time-delay nonlinear systems
JO  - Kybernetika
PY  - 2009
SP  - 15
EP  - 32
VL  - 45
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KYB_2009__45_1_a2/
LA  - en
ID  - KYB_2009__45_1_a2
ER  - 
%0 Journal Article
%A Bakule, Lubomír
%A Sen, Manuel de la
%T Non-fragile controllers for a class of time-delay nonlinear systems
%J Kybernetika
%D 2009
%P 15-32
%V 45
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KYB_2009__45_1_a2/
%G en
%F KYB_2009__45_1_a2
Bakule, Lubomír; Sen, Manuel de la. Non-fragile controllers for a class of time-delay nonlinear systems. Kybernetika, Tome 45 (2009) no. 1, pp. 15-32. http://geodesic.mathdoc.fr/item/KYB_2009__45_1_a2/