Nonlinear observer performance in chaotic synchronization with application to secure communication

Javid Amirazodi, Edwin E. Yaz, Asad Azemi, Yvonne I. Yaz

Research output: Contribution to conferencePaper

16 Citations (Scopus)

Abstract

This work is on performance comparison of five different nonlinear observers in two chaotic synchronization case studies and their application to secure communications. Extended Kalman filter, state dependent Riccati equation, Thau's observer, high-gain observer, and covariance upper bound assignment techniques are used in state reconstruction of two chaotic nonlinear systems, namely Chua and Lorenz systems. We show that synchronization of chaotic systems can be effectively achieved by using any of the above techniques. However they exhibit different performances. A comparative robustness study involving performance under different measurement noise levels is also included. The above methods are then applied to introduce a method of secure communications, by chaotic masking, where the message is injected into the chaotic signal generated by Chua's circuit in the transmitter where they are simultaneously transmitted over a noisy channel to the receiver. The proposed observers are then applied in the receiver and the performances are compared based on Monte-Carlo simulations in order to demonstrate the relative effectiveness of these techniques.

Original languageEnglish (US)
Pages76-81
Number of pages6
StatePublished - Jan 1 2002
EventProceedings of the 2002 IEEE International Conference on Control Applications - Glasgow, United Kingdom
Duration: Sep 18 2002Sep 20 2002

Other

OtherProceedings of the 2002 IEEE International Conference on Control Applications
CountryUnited Kingdom
CityGlasgow
Period9/18/029/20/02

Fingerprint

Synchronization
Riccati equations
Chaotic systems
Extended Kalman filters
Nonlinear systems
Transmitters
Networks (circuits)
Secure communication
Monte Carlo simulation

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering

Cite this

Amirazodi, J., Yaz, E. E., Azemi, A., & Yaz, Y. I. (2002). Nonlinear observer performance in chaotic synchronization with application to secure communication. 76-81. Paper presented at Proceedings of the 2002 IEEE International Conference on Control Applications, Glasgow, United Kingdom.
Amirazodi, Javid ; Yaz, Edwin E. ; Azemi, Asad ; Yaz, Yvonne I. / Nonlinear observer performance in chaotic synchronization with application to secure communication. Paper presented at Proceedings of the 2002 IEEE International Conference on Control Applications, Glasgow, United Kingdom.6 p.
@conference{db30ec9f7553429da52d2480414cbbe1,
title = "Nonlinear observer performance in chaotic synchronization with application to secure communication",
abstract = "This work is on performance comparison of five different nonlinear observers in two chaotic synchronization case studies and their application to secure communications. Extended Kalman filter, state dependent Riccati equation, Thau's observer, high-gain observer, and covariance upper bound assignment techniques are used in state reconstruction of two chaotic nonlinear systems, namely Chua and Lorenz systems. We show that synchronization of chaotic systems can be effectively achieved by using any of the above techniques. However they exhibit different performances. A comparative robustness study involving performance under different measurement noise levels is also included. The above methods are then applied to introduce a method of secure communications, by chaotic masking, where the message is injected into the chaotic signal generated by Chua's circuit in the transmitter where they are simultaneously transmitted over a noisy channel to the receiver. The proposed observers are then applied in the receiver and the performances are compared based on Monte-Carlo simulations in order to demonstrate the relative effectiveness of these techniques.",
author = "Javid Amirazodi and Yaz, {Edwin E.} and Asad Azemi and Yaz, {Yvonne I.}",
year = "2002",
month = "1",
day = "1",
language = "English (US)",
pages = "76--81",
note = "Proceedings of the 2002 IEEE International Conference on Control Applications ; Conference date: 18-09-2002 Through 20-09-2002",

}

Amirazodi, J, Yaz, EE, Azemi, A & Yaz, YI 2002, 'Nonlinear observer performance in chaotic synchronization with application to secure communication', Paper presented at Proceedings of the 2002 IEEE International Conference on Control Applications, Glasgow, United Kingdom, 9/18/02 - 9/20/02 pp. 76-81.

Nonlinear observer performance in chaotic synchronization with application to secure communication. / Amirazodi, Javid; Yaz, Edwin E.; Azemi, Asad; Yaz, Yvonne I.

2002. 76-81 Paper presented at Proceedings of the 2002 IEEE International Conference on Control Applications, Glasgow, United Kingdom.

Research output: Contribution to conferencePaper

TY - CONF

T1 - Nonlinear observer performance in chaotic synchronization with application to secure communication

AU - Amirazodi, Javid

AU - Yaz, Edwin E.

AU - Azemi, Asad

AU - Yaz, Yvonne I.

PY - 2002/1/1

Y1 - 2002/1/1

N2 - This work is on performance comparison of five different nonlinear observers in two chaotic synchronization case studies and their application to secure communications. Extended Kalman filter, state dependent Riccati equation, Thau's observer, high-gain observer, and covariance upper bound assignment techniques are used in state reconstruction of two chaotic nonlinear systems, namely Chua and Lorenz systems. We show that synchronization of chaotic systems can be effectively achieved by using any of the above techniques. However they exhibit different performances. A comparative robustness study involving performance under different measurement noise levels is also included. The above methods are then applied to introduce a method of secure communications, by chaotic masking, where the message is injected into the chaotic signal generated by Chua's circuit in the transmitter where they are simultaneously transmitted over a noisy channel to the receiver. The proposed observers are then applied in the receiver and the performances are compared based on Monte-Carlo simulations in order to demonstrate the relative effectiveness of these techniques.

AB - This work is on performance comparison of five different nonlinear observers in two chaotic synchronization case studies and their application to secure communications. Extended Kalman filter, state dependent Riccati equation, Thau's observer, high-gain observer, and covariance upper bound assignment techniques are used in state reconstruction of two chaotic nonlinear systems, namely Chua and Lorenz systems. We show that synchronization of chaotic systems can be effectively achieved by using any of the above techniques. However they exhibit different performances. A comparative robustness study involving performance under different measurement noise levels is also included. The above methods are then applied to introduce a method of secure communications, by chaotic masking, where the message is injected into the chaotic signal generated by Chua's circuit in the transmitter where they are simultaneously transmitted over a noisy channel to the receiver. The proposed observers are then applied in the receiver and the performances are compared based on Monte-Carlo simulations in order to demonstrate the relative effectiveness of these techniques.

UR - http://www.scopus.com/inward/record.url?scp=0036030999&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036030999&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:0036030999

SP - 76

EP - 81

ER -

Amirazodi J, Yaz EE, Azemi A, Yaz YI. Nonlinear observer performance in chaotic synchronization with application to secure communication. 2002. Paper presented at Proceedings of the 2002 IEEE International Conference on Control Applications, Glasgow, United Kingdom.