A chaotic secure communication scheme using fractional chaotic systems based on an extended fractional Kalman filter

Kiani-B, Arman; Fallahi, Kia; Pariz, Naser; Leung, Henry

doi:10.1016/j.cnsns.2007.11.011

Cited by 251 publications

(93 citation statements)

References 16 publications

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“…of state variables in the dynamical system with ultracapacitor [3], as well in a chaotic secure communication scheme [7]. In the case of systems with fractional order dynamics with data sending over lossy networks, where network-induced packet losses can become a source of degradation in estimation performance, the improved FKF has been investigated [31].…”

Section: Introductionmentioning

confidence: 99%

Dual Estimation of Fractional Variable Order Based on the Unscented Fractional Order Kalman Filter for Direct and Networked Measurements

Sierociuk

Macias

Malesza

et al. 2016

Circuits Syst Signal Process

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The paper is devoted to variable order estimation process when measurements are obtained in two different ways: directly and by lossy network. Since the problem of fractional order estimation is highly nonlinear, dual estimation algorithm based on Unscented Fractional Order Kalman filter has been used. In dual estimation process, state variable and order estimation have been divided into two sub-processes. For estimation state variables and variable fractional order, the Fractional Kalman filter and the Unscented Fractional Kalman filter have been used, respectively. The order estimation algorithms were applied to numerical examples and to real fractional variable order inertial system realized as an analog circuit.

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Section: Introductionmentioning

confidence: 99%

Dual Estimation of Fractional Variable Order Based on the Unscented Fractional Order Kalman Filter for Direct and Networked Measurements

Sierociuk

Macias

Malesza

et al. 2016

Circuits Syst Signal Process

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“…The Fractional Kalman filter (FKF) algorithm has been used for estimation of unknown state variables in the system with ultracapacitor [11,14], or in a chaotic secure communication scheme [15]. Similar algorithm to FKF was also used in [4] for R-wave detection in electrocardiogram signal.…”

Section: Introductionmentioning

confidence: 99%

Fractional Order Estimation Schemes for Fractional and Integer Order Systems with Constant and Variable Fractional Order Colored Noise

Sierociuk

Ziubinski

2014

Circuits Syst Signal Process

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The paper presents estimation schemes for discrete fractional and integer order state-space systems with fractional order colored noise. The fractional order colored noise is a generalization of the traditional colored noise (noise with dynamic dependency) for the case when the dynamics of noise is of fractional order. Proposed estimation algorithm additionally uses information about noise dynamics, which allows for obtaining better estimates of state vector. The numerical experiments of estimation integer order system with fractional noise are presented as well.

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“…Based on the wide applications in the fields of secure communication, encryption, signal and control processing, fractional-order chaotic systems have attracted tremendous attention of scientists and engineers during the past few decades [15,27,33]. With the help of fractional-order calculus, it is demonstrated that there are many fractional-order chaotic systems including the fractional-order Chen system [17], the fractional-order financial system with time delay [34], the fractional-order hyperchaotic Rössler system [16], and so on.…”

Section: Introductionmentioning

confidence: 99%

Anti-synchronization of fractional-order chaotic complex systems with unknown parameters via adaptive control

Jiang¹,

Zhang²,

Qin³

et al. 2017

J. Nonlinear Sci. Appl.

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This paper is concerned with adaptive control for anti-synchronization of a class of uncertain fractional-order chaotic complex systems described by a unified mathematical expression. By utilizing the recently established result for the Caputo fractional derivative of a quadratic function and employing the adaptive control technique, we design controllers and some fractional-order parameter update laws to anti-synchronize two fractional-order chaotic complex systems with unknown parameters. The proposed method has generality, simplicity, and feasibility. Moreover, anti-synchronization between uncertain fractional-order complex Lorenz system and fractional-order complex Lü system is implemented as an example to demonstrate the effectiveness and feasibility of the proposed scheme.

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A chaotic secure communication scheme using fractional chaotic systems based on an extended fractional Kalman filter

Cited by 251 publications

References 16 publications

Dual Estimation of Fractional Variable Order Based on the Unscented Fractional Order Kalman Filter for Direct and Networked Measurements

Dual Estimation of Fractional Variable Order Based on the Unscented Fractional Order Kalman Filter for Direct and Networked Measurements

Fractional Order Estimation Schemes for Fractional and Integer Order Systems with Constant and Variable Fractional Order Colored Noise

Anti-synchronization of fractional-order chaotic complex systems with unknown parameters via adaptive control

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