Title :
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
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;
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2011.6161112
