Using geometric control and chaotic synchronization to estimate an unknown model parameter

U S Freitas, E E N Macau, C Grebogi

Research output: Contribution to journalArticle

34 Citations (Scopus)

Abstract

We present a new parameter estimation procedure for nonlinear systems. Such technique is based on the synchronization between the model and the system whose unknown parameter is wanted. Synchronization is accomplished by controlling the model to make it follow the system. We use geometric nonlinear control techniques to design the control system. These techniques allow us to derive sufficient conditions for synchronization and hence for proper parameter estimation. As an example, this procedure is used to estimate a parameter of an example serving as a model.

Original languageEnglish
Article number047203
Number of pages4
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Volume71
Issue number4
DOIs
Publication statusPublished - Apr 2005

Fingerprint

Chaotic Synchronization
synchronism
Synchronization
Unknown
Parameter Estimation
estimates
Estimate
Nonlinear Control
Unknown Parameters
Nonlinear Systems
nonlinear systems
Control System
Model
Sufficient Conditions

Keywords

  • time-series
  • systems

Cite this

Using geometric control and chaotic synchronization to estimate an unknown model parameter. / Freitas, U S ; Macau, E E N ; Grebogi, C .

In: Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, Vol. 71, No. 4, 047203, 04.2005.

Research output: Contribution to journalArticle

@article{56b82922b13740af868566377cc053de,
title = "Using geometric control and chaotic synchronization to estimate an unknown model parameter",
abstract = "We present a new parameter estimation procedure for nonlinear systems. Such technique is based on the synchronization between the model and the system whose unknown parameter is wanted. Synchronization is accomplished by controlling the model to make it follow the system. We use geometric nonlinear control techniques to design the control system. These techniques allow us to derive sufficient conditions for synchronization and hence for proper parameter estimation. As an example, this procedure is used to estimate a parameter of an example serving as a model.",
keywords = "time-series, systems",
author = "Freitas, {U S} and Macau, {E E N} and C Grebogi",
year = "2005",
month = "4",
doi = "10.1103/PhysRevE.71.047203",
language = "English",
volume = "71",
journal = "Physical Review. E, Statistical, Nonlinear and Soft Matter Physics",
issn = "1539-3755",
publisher = "AMER PHYSICAL SOC",
number = "4",

}

TY - JOUR

T1 - Using geometric control and chaotic synchronization to estimate an unknown model parameter

AU - Freitas, U S

AU - Macau, E E N

AU - Grebogi, C

PY - 2005/4

Y1 - 2005/4

N2 - We present a new parameter estimation procedure for nonlinear systems. Such technique is based on the synchronization between the model and the system whose unknown parameter is wanted. Synchronization is accomplished by controlling the model to make it follow the system. We use geometric nonlinear control techniques to design the control system. These techniques allow us to derive sufficient conditions for synchronization and hence for proper parameter estimation. As an example, this procedure is used to estimate a parameter of an example serving as a model.

AB - We present a new parameter estimation procedure for nonlinear systems. Such technique is based on the synchronization between the model and the system whose unknown parameter is wanted. Synchronization is accomplished by controlling the model to make it follow the system. We use geometric nonlinear control techniques to design the control system. These techniques allow us to derive sufficient conditions for synchronization and hence for proper parameter estimation. As an example, this procedure is used to estimate a parameter of an example serving as a model.

KW - time-series

KW - systems

U2 - 10.1103/PhysRevE.71.047203

DO - 10.1103/PhysRevE.71.047203

M3 - Article

VL - 71

JO - Physical Review. E, Statistical, Nonlinear and Soft Matter Physics

JF - Physical Review. E, Statistical, Nonlinear and Soft Matter Physics

SN - 1539-3755

IS - 4

M1 - 047203

ER -