Title :
Application of passification method to controlled synchronization of tree networks under information constraints
Author :
Fradkov, Alexander L. ; Andrievsky, Boris
Author_Institution :
Control of Complex Syst. Lab., Inst. for Problems of Mech. Eng. of Russian Acad. of Sci., St. Petersburg, Russia
Abstract :
The synchronization problem in network having line, star or combined linestar (tree) topology via communication links with limited capacity is considered. Limit possibilities of nonlinear controlled synchronization systems with first-order coders for multi-dimensional master-slave Lurie systems (linear part plus nonlinearity depending only on measurable outputs) are presented. It is shown that the upper and lower bounds of limited synchronization error are proportional to the maximum coupling signal rate and inversely proportional to the minimum information transmission rate of network communication links (minimum channel capacity). The results are illustrated by example of synchronization in the network of Chua systems coupled via communication links with limited capacity.
Keywords :
multidimensional systems; nonlinear control systems; synchronisation; trees (mathematics); Chua systems; first-order coders; information constraints; linestar topology; minimum channel capacity; multi-dimensional master-slave Lurie systems; network communication links; nonlinear controlled synchronization systems; passification method; tree networks; Channel capacity; Chaotic communication; Communication channels; Communication networks; Communication system control; Control systems; Couplings; Network topology; Nonlinear control systems; Tree graphs; Communication channel; Information constraints; Passification method; Synchronization;
Conference_Titel :
Control Applications, (CCA) & Intelligent Control, (ISIC), 2009 IEEE
Conference_Location :
Saint Petersburg
Print_ISBN :
978-1-4244-4601-8
Electronic_ISBN :
978-1-4244-4602-5
DOI :
10.1109/CCA.2009.5281024
