Geodesic
Extension principle and controller design for systems with distributed time-delay
Kybernetika, Tome 53 (2017) no. 4, pp. 630-652

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

Extension principle is defined for systems with distributed time-delay and the necessary and sufficient conditions for one system being an extension of the other are presented. Preservation of stability properties between two systems, one of which is an extension of the other is also discussed and it is shown that when the expanded system is an extension of the original system, (i) the original system is bounded-input bounded-output stable if and only if the expanded system is bounded-input bounded-output stable and (ii) the original system is exponentially stable if the expanded system is exponentially stable. Controller design using the extension principle is then considered. It is shown that, if the expanded system is an extension of the original system, then any controller designed for the expanded system can be contracted for implementation on the original system. Furthermore, if the controller designed for the expanded system stabilizes the expanded system and satisfies certain performance requirements, then the contracted controller stabilizes the original system and satisfies corresponding performance requirements for the original system. Finally, overlapping decompositions and controller design using overlapping decompositions are demonstrated. A highway traffic congestion control problem is then considered to demonstrate a possible application of the presented controller design approach.
DOI : 10.14736/kyb-2017-4-0630
Classification : 93A14, 93A15, 93C23
Keywords: large-scale systems; time-delay systems; distributed time-delay; overlapping decompositions; decentralized control; controller design 
@article{10_14736_kyb_2017_4_0630,
     author = {\.Iftar, Altu\u{g}},
     title = {Extension principle and controller design for systems with distributed time-delay},
     journal = {Kybernetika},
     pages = {630--652},
     publisher = {mathdoc},
     volume = {53},
     number = {4},
     year = {2017},
     doi = {10.14736/kyb-2017-4-0630},
     mrnumber = {3730256},
     zbl = {06819628},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2017-4-0630/}
}
TY  - JOUR
AU  - İftar, Altuğ
TI  - Extension principle and controller design for systems with distributed time-delay
JO  - Kybernetika
PY  - 2017
SP  - 630
EP  - 652
VL  - 53
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2017-4-0630/
DO  - 10.14736/kyb-2017-4-0630
LA  - en
ID  - 10_14736_kyb_2017_4_0630
ER  - 
%0 Journal Article
%A İftar, Altuğ
%T Extension principle and controller design for systems with distributed time-delay
%J Kybernetika
%D 2017
%P 630-652
%V 53
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2017-4-0630/
%R 10.14736/kyb-2017-4-0630
%G en
%F 10_14736_kyb_2017_4_0630
İftar, Altuğ. Extension principle and controller design for systems with distributed time-delay. Kybernetika, Tome 53 (2017) no. 4, pp. 630-652. doi: 10.14736/kyb-2017-4-0630

Cité par Sources :