Robust Synchronization of Fractional-Order Chaotic Systems at a Pre-Specified Time Using Sliding Mode Controller with Time-Varying Switching Surfaces

Khanzadeh, Alireza; Pourgholi, Mahdi

doi:10.1016/j.chaos.2016.05.007

Cited by 19 publications

(3 citation statements)

References 32 publications

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“…Several methods have been used in secure communications. The various methods that have been presented for synchronization include active control (Huang and Cao, 2017), impulse control (Stamov and Stamova, 2017), sliding mode control (Rabah et al, 2017), back-stepping control (Shukla and Sharma, 2017), adaptive control (Liu et al, 2019), and robust control (Khanzadeh and Pourgholi, 2016).…”

Section: Introductionmentioning

confidence: 99%

A new approach for security of wireless sensor networks based on anti-synchronization of the fractional-order hyper-chaotic system

Kaheni

Yaghoobi

2020

Transactions of the Institute of Measurement and Control

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Chaotic systems have wide applications in secure communication engineering and cryptography. In this paper, improved nonlinear predictive control with whale algorithm for anti-synchronization of a fractional-order economic hyper-chaotic system is used for increasing the security of wireless sensor networks and preventing intrusion. By chaotic masking method and the T-S fuzzy model, the message signal is encoded at the wireless sensor side and it is placed along the transmitter route. In the central station, the message signal is decoded using the T-S fuzzy model and the predictive control by anti-synchronizing the fractional-order hyper-chaotic slave system. To reduce the effect of disturbances, a sign function of error is added to the predictive control. Finally, simulation results indicate the proper performance of the proposed nonlinear predictive control for anti-synchronizing the fractional-order hyper-chaotic systems in secure communications.

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Section: Introductionmentioning

confidence: 99%

A new approach for security of wireless sensor networks based on anti-synchronization of the fractional-order hyper-chaotic system

Kaheni

Yaghoobi

2020

Transactions of the Institute of Measurement and Control

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“…Inspired by the work of Pecora and Carrol (1990) and synchronization methods developed in the case of classical integer-order systems, synchronization of fractional-order chaotic systems in the continuous-time domain has received a lot of attention. Various methods such as the projective method, adaptive control, the impulsive method, active control and sliding mode techniques are proposed (Peng et al, 2014;Shao et al, 2016;Xi et al, 2014;Agrawal et al, 2012;Khanzadeh and Pourgholi, 2016).…”

Section: Introductionmentioning

confidence: 99%

Synchronization of fractional–order discrete–time chaotic systems by an exact delayed state reconstructor: Application to secure communication

Djennoune

Bettayeb

Al‐Saggaf

2019

International Journal of Applied Mathematics and Computer Science

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This paper deals with the synchronization of fractional-order chaotic discrete-time systems. First, some new concepts regarding the output-memory observability of non-linear fractional-order discrete-time systems are developed. A rank criterion for output-memory observability is derived. Second, a dead-beat observer which recovers exactly the true state system from the knowledge of a finite number of delayed inputs and delayed outputs is proposed. The case of the presence of an unknown input is also studied. Third, secure data communication based on a generalized fractional-order Hénon map is proposed. Numerical simulations and application to secure speech communication are presented to show the efficiency of the proposed approach.

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“…For this reason, the synchronisation of fractional‐order chaotic systems has attracted increasing attention. Various methods have been proposed such as the function projective synchronisation method [24, 25], adaptive control method [26], active control [27], impulsive method [28], sliding mode observers [29–31] and many others.…”

Section: Introductionmentioning

confidence: 99%

High gain observer design for fractional‐order non‐linear systems with delayed measurements: application to synchronisation of fractional‐order chaotic systems

Bettayeb

Al‐Saggaf

Djennoune

2017

IET Control Theory & Applications

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Robust Synchronization of Fractional-Order Chaotic Systems at a Pre-Specified Time Using Sliding Mode Controller with Time-Varying Switching Surfaces

Cited by 19 publications

References 32 publications

A new approach for security of wireless sensor networks based on anti-synchronization of the fractional-order hyper-chaotic system

A new approach for security of wireless sensor networks based on anti-synchronization of the fractional-order hyper-chaotic system

Synchronization of fractional–order discrete–time chaotic systems by an exact delayed state reconstructor: Application to secure communication

High gain observer design for fractional‐order non‐linear systems with delayed measurements: application to synchronisation of fractional‐order chaotic systems

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