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

Robust fractional-order proportional-integral observer for synchronization of chaotic fractional-order systems

Ibrahima N Doye^*, Khaled Nabil Salama, Taous Meriem Laleg-Kirati

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

44 Scopus citations

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.

Original language	English (US)
Article number	8291081
Pages (from-to)	268-277
Number of pages	10
Journal	IEEE/CAA Journal of Automatica Sinica
Volume	6
Issue number	1
DOIs	https://doi.org/10.1109/JAS.2017.7510874
State	Published - Jan 2019

Keywords

Chaos synchronization
Fractional-order chaotic systems
Indirect lyapunov approach
Linear matrix inequality (LMI)
Robust proportional-integral observer design

ASJC Scopus subject areas

Artificial Intelligence
Information Systems
Control and Systems Engineering

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10.1109/JAS.2017.7510874

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title = "Robust fractional-order proportional-integral observer for synchronization of chaotic fractional-order systems",

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.",

keywords = "Chaos synchronization, Fractional-order chaotic systems, Indirect lyapunov approach, Linear matrix inequality (LMI), Robust proportional-integral observer design",

author = "{N Doye}, Ibrahima and Salama, {Khaled Nabil} and Laleg-Kirati, {Taous Meriem}",

note = "Publisher Copyright: {\textcopyright} 2014 Chinese Association of Automation.",

year = "2019",

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doi = "10.1109/JAS.2017.7510874",

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AU - N Doye, Ibrahima

AU - Salama, Khaled Nabil

AU - Laleg-Kirati, Taous Meriem

PY - 2019/1

Y1 - 2019/1

N2 - 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.

AB - 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.

KW - Chaos synchronization

KW - Fractional-order chaotic systems

KW - Indirect lyapunov approach

KW - Linear matrix inequality (LMI)

KW - Robust proportional-integral observer design

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ER -

Robust fractional-order proportional-integral observer for synchronization of chaotic fractional-order systems

Abstract

Keywords

ASJC Scopus subject areas

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