Robust Fractional-Order Proportional-Integral Observer for Synchronization of Chaotic Fractional-Order Systems

Ibrahima N'Doye; Khaled Nabil Salama; Taous-Meriem Laleg-Kirati

doi:10.1109/JAS.2017.7510874

Volume 6 Issue 1

Jan. 2019

IEEE/CAA Journal of Automatica Sinica

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Ibrahima N'Doye, Khaled Nabil Salama and Taous-Meriem Laleg-Kirati, "Robust Fractional-Order Proportional-Integral Observer for Synchronization of Chaotic Fractional-Order Systems," IEEE/CAA J. Autom. Sinica, vol. 6, no. 1, pp. 268-277, Jan. 2019. doi: 10.1109/JAS.2017.7510874

Citation:

Ibrahima N'Doye, Khaled Nabil Salama and Taous-Meriem Laleg-Kirati, "Robust Fractional-Order Proportional-Integral Observer for Synchronization of Chaotic Fractional-Order Systems," IEEE/CAA J. Autom. Sinica, vol. 6, no. 1, pp. 268-277, Jan. 2019. doi: 10.1109/JAS.2017.7510874

Citation:

Ibrahima N'Doye, Khaled Nabil Salama and Taous-Meriem Laleg-Kirati, "Robust Fractional-Order Proportional-Integral Observer for Synchronization of Chaotic Fractional-Order Systems," IEEE/CAA J. Autom. Sinica, vol. 6, no. 1, pp. 268-277, Jan. 2019. doi: 10.1109/JAS.2017.7510874

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Robust Fractional-Order Proportional-Integral Observer for Synchronization of Chaotic Fractional-Order Systems

doi: 10.1109/JAS.2017.7510874

Computer, Electrical and Mathematical Sciences and Engineering Division (CEMSE), King Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900, Saudi Arabia

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Author Bio:
Ibrahima N'Doye received simultaneously the Ph.D. degree in automatic control from University of Lorraine at the Research Center of Automatic Control (CRAN-CNRS, University of Lorraine), France, and University Hassan Ⅱ Ain Chock, Casablanca, Morocco, in 2011. From 2012 to 2014, he was a Postdoc at University of Luxembourg in the Faculty of Science, Technology and Communication, Research Unit of Engineering Sciences. He is currently a Research Scientist with the king Abdullah University of Science and Technology (KAUST). His research interests are in the area of estimation and control of fractional-order systems and nonlinear dynamical systems with applications in engineering and biomedical fields. email: ibrahima.ndoye@kaust.edu.sa

Khaled Nabil Salama (S'97-M'05-SM'10) received the B.S. degree (with Hons.) from the Department of Electronics and Communications, Cairo University, Giza, Egypt, in 1997, and the M.S. and Ph.D. degrees from the Department of Electrical Engineering, Stanford University, Stanford, CA, USA, in 2000 and 2005, respectively. He was an Assistant Professor with the Rensselaer Polytechnic Institute, Troy, NY, USA, from 2005 to 2009. In 2009, he joined the King Abdullah University of Science and Technology, Thuwal, Saudi Arabia, in 2009, where he was the founding Program Chair until 2011.
He is currently an Associate Professor with the King Abdullah University of Science and Technology. His focus on CMOS sensors for molecular detection has been funded by the National Institutes of Health and the Defense Advanced Research Projects Agency. He has authored over 200 papers and holds 20 patents on low-power mixed-signal circuits for intelligent fully integrated sensors and nonlinear electronics specially memristor devices. email: ibrahima.ndoye@kaust.edu.sa

Taous-Meriem Laleg-Kirati is an Assistant Professor in the division of Computer, Electrical and Mathematical Sciences and Engineering at KAUST. She joined KAUST in December 2010. From 2009 to 2010, she was working as a permanent research scientist at the French Institute for research in Computer Sciences and Control Systems (INRIA) in Bordeaux. She earned her Ph.D. degree in applied mathematics from INRIA Paris, in 2008. She holds a master in control systems and signal processing from University Paris 11 in France. Her research interests include, modeling, estimation, and control of infinite dimensional (distributed) systems including partial differential equations systems and fractional systems, and signal/image analysis. She considers applications in engineering and biomedical fields. Webpage: http://emang.kaust.edu.sa. email: ibrahima.ndoye@kaust.edu.sa
Corresponding author: Ibrahima N'Doye, email: ibrahima.ndoye@kaust.edu.sa
Received Date: 2017-04-03
Revised Date: 2017-11-10
Accepted Date: 2017-12-23

Abstract

Abstract

In this paper, we propose a robust fractional-order proportional-integral (FOPI) observer for the synchronization of nonlinear fractional-order chaotic systems. The convergence of the observer is proved, and sufficient conditions are derived in terms of linear matrix inequalities (LMIs) approach by using an indirect Lyapunov method. The proposed FOPI observer is robust against Lipschitz additive nonlinear uncertainty. It is also compared to the fractional-order proportional (FOP) observer and its performance is illustrated through simulations done on the fractional-order chaotic Lorenz system.

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References(33)

References

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Robust Fractional-Order Proportional-Integral Observer for Synchronization of Chaotic Fractional-Order Systems

doi: 10.1109/JAS.2017.7510874

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