Complex Systems

On the Scalability and Convergence of Simultaneous Parameter Identification and Synchronization of Dynamical Systems Download PDF

Bruno Nery
Rodrigo Ventura
Institute for Systems and Robotics
Instituto Superior Técnico
Av. Rovisco Pais, 1
1049-001 Lisbon, Portugal
bnery@isr.ist.utl.pt
rodrigo.ventura@isr.ist.utl.pt

Abstract

Synchronization of dynamical systems allows two systems to have identical state trajectories. This method consists of an appropriate unidirectional coupling from one system (drive) to the other (response). A method to adapt a response system such that synchronization is achieved was proposed by Chen and Lü in 2002. However, this method has two limitations: first, it does not scale well if the number of parameters is greater than the state dimension, and second, the parameters are not guaranteed to converge. An adaptation law addressing these two limitations is presented. The feasibility and advantages of the proposed method are illustrated by numerical simulations.