Decentralized adaptive controller for synchronization of dynamical networks with delays and bounded disturbances

Author

Fradkov, Alexander L. ; Grigoriev, Grigoriy ; Selivanov, Anton

Author_Institution

Inst. of Problems in Mech. Eng., St. Petersburg, Russia

fYear

2011

fDate

12-15 Dec. 2011

Firstpage

1110

Lastpage

1115

Abstract

An adaptive master-slave output feedback synchronization problem is studied firstly for a network of interconnected nonlinear dynamical systems with bounded disturbance and then for a network of systems with delayed couplings. The proposed structure of decentralized controller and adaptation algorithms in both cases is based on speed-gradient and passification methods. Synchronization conditions for systems with disturbances and for systems with delayed couplings are established. An example of synchronization of the network of Chua systems with bounded disturbances is given. The problem of convergence with prespecified accuracy is examined for the networks of dynamical systems with disturbances. ¹

Keywords

adaptive control; convergence; decentralised control; delays; feedback; gradient methods; interconnected systems; nonlinear control systems; nonlinear dynamical systems; synchronisation; time-varying systems; Chua systems network; adaptation algorithm; adaptive master-slave output feedback synchronization problem; bounded disturbance; decentralized adaptive controller; delayed couplings system network; dynamical networks synchronization; interconnected nonlinear dynamical system; passification method; speed gradient method; Couplings; Heuristic algorithms; Linear matrix inequalities; Symmetric matrices; Synchronization; Trajectory; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on

Conference_Location

Orlando, FL

ISSN

0743-1546

Print_ISBN

978-1-61284-800-6

Electronic_ISBN

0743-1546

Type

conf

DOI

10.1109/CDC.2011.6161112

Filename

6161112