Chaos synchronization of fractional-order Lorenz system with Unscented Kalman Filter

Komeil Nosrati, Ali Shokouhi Rostami, Naser Pariz, Asad Azemi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

In this paper we numerically investigate the chaotic behaviours of the fractional-order Lorenz system and its synchronization. For the first time, a fractional chaotic synchronization using an Unscented Kalman Filter (UKF) is presented. The chaotic synchronization is implemented by the UKF design in the presence of process noise and measurement noise. To illustrate the effectiveness of the synchronization with the UKF method, a numerical example based on the fractional-order Lorenz dynamical system is presented and the results are compared to the Extended Kalman Filter (EKF) method.

Original languageEnglish (US)
Title of host publication2011 19th Iranian Conference on Electrical Engineering, ICEE 2011
StatePublished - Aug 26 2011
Event2011 19th Iranian Conference on Electrical Engineering, ICEE 2011 - Tehran, Iran, Islamic Republic of
Duration: May 17 2011May 19 2011

Publication series

Name2011 19th Iranian Conference on Electrical Engineering, ICEE 2011

Other

Other2011 19th Iranian Conference on Electrical Engineering, ICEE 2011
CountryIran, Islamic Republic of
CityTehran
Period5/17/115/19/11

Fingerprint

Kalman filters
Chaos theory
Synchronization
Extended Kalman filters
Dynamical systems

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

Nosrati, K., Rostami, A. S., Pariz, N., & Azemi, A. (2011). Chaos synchronization of fractional-order Lorenz system with Unscented Kalman Filter. In 2011 19th Iranian Conference on Electrical Engineering, ICEE 2011 [5955427] (2011 19th Iranian Conference on Electrical Engineering, ICEE 2011).
Nosrati, Komeil ; Rostami, Ali Shokouhi ; Pariz, Naser ; Azemi, Asad. / Chaos synchronization of fractional-order Lorenz system with Unscented Kalman Filter. 2011 19th Iranian Conference on Electrical Engineering, ICEE 2011. 2011. (2011 19th Iranian Conference on Electrical Engineering, ICEE 2011).
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abstract = "In this paper we numerically investigate the chaotic behaviours of the fractional-order Lorenz system and its synchronization. For the first time, a fractional chaotic synchronization using an Unscented Kalman Filter (UKF) is presented. The chaotic synchronization is implemented by the UKF design in the presence of process noise and measurement noise. To illustrate the effectiveness of the synchronization with the UKF method, a numerical example based on the fractional-order Lorenz dynamical system is presented and the results are compared to the Extended Kalman Filter (EKF) method.",
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Nosrati, K, Rostami, AS, Pariz, N & Azemi, A 2011, Chaos synchronization of fractional-order Lorenz system with Unscented Kalman Filter. in 2011 19th Iranian Conference on Electrical Engineering, ICEE 2011., 5955427, 2011 19th Iranian Conference on Electrical Engineering, ICEE 2011, 2011 19th Iranian Conference on Electrical Engineering, ICEE 2011, Tehran, Iran, Islamic Republic of, 5/17/11.

Chaos synchronization of fractional-order Lorenz system with Unscented Kalman Filter. / Nosrati, Komeil; Rostami, Ali Shokouhi; Pariz, Naser; Azemi, Asad.

2011 19th Iranian Conference on Electrical Engineering, ICEE 2011. 2011. 5955427 (2011 19th Iranian Conference on Electrical Engineering, ICEE 2011).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Nosrati K, Rostami AS, Pariz N, Azemi A. Chaos synchronization of fractional-order Lorenz system with Unscented Kalman Filter. In 2011 19th Iranian Conference on Electrical Engineering, ICEE 2011. 2011. 5955427. (2011 19th Iranian Conference on Electrical Engineering, ICEE 2011).