Title
Adaptive observers with persistency of excitation for synchronization of chaotic aystems
11627/470411627/4704
Author
Loría, Antonio
Panteley, Elena
Zavala Río, Arturo
000
Abstract
"We address the problem of master-slave synchronization of chaotic systems under parameter uncertainty and with partial measurements. Our approach is based on observer-design theory hence, we view the master dynamics as a system of differential equations with a state and a measurable output and we design an observer (tantamount to the slave system) which reconstructs the dynamic behavior of the master. The main technical condition that we impose is persistency of excitation (PE), a property well studied in the adaptive control literature. In the case of unknown parameters and partial measurements we show that synchronization is achievable in a practical sense, that is, with ¿small¿ error. We also illustrate our methods on particular examples of chaotic oscillators such as the Lorenz and the Lu oscillators. Theoretical proofs are provided based on recent results on stability theory for time-varying systems."
Publication date
2009Publication type
articleDOI
https://doi.org/10.1109/TCSI.2009.2016636Knowledge area
MATEMÁTICASEditor
IEEEKeywords
Adaptive controlChaos control
Chaotic systems
Observers
Synchronization