Sliding mode control design for synchronization of fractional order chaotic systems and its application to a new cryptosystem

Muthukumar, P.; Balasubramaniam, P.; Ratnavelu, Kuru

doi:10.1007/s40435-015-0169-y

Cited by 59 publications

(16 citation statements)

References 35 publications

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“…SMC method is an effective nonlinear control strategy that has been utilized in control of various linear and nonlinear systems. [24][25][26] Sliding mode controllers, due to the fast transient response, simplicity in use, and strong robustness against external disturbances and uncertainties, are applied in various practical systems like automobiles, 27 aircrafts, 28 missile guidance, 29 satellites, 30 cryptosystems, 31 power systems, 32 and robotics manipulators. 33 About the sliding mode controllers, one of the significant drawbacks is that they do not guarantee the robustness in the reaching phase.…”

Section: Introductionmentioning

confidence: 99%

Fast terminal sliding mode tracking control of nonlinear uncertain mass–spring system with experimental verifications

Amirkhani

Mobayen

Iliaee

et al. 2019

International Journal of Advanced Robotic Systems

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In this article, a fast terminal sliding mode control technique is used for robust tracking control of a nonlinear uncertain mass-spring system in the existence of external perturbation. This system is considered as a benchmark problem in the flexible joint mechanisms. The joints flexibility in the robotic systems creates one of the most significant sources of parametric uncertainties. The theory of Lyapunov stability is used for the formulation of the proposed control method, and the presence of the sliding around the switching surface is satisfied in the finite time. Simulation results as well as the experimental verifications prove the efficiency and applicability of the suggested approach in the presence of parametric uncertainty, noise, and exterior disturbance.

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Section: Introductionmentioning

confidence: 99%

Fast terminal sliding mode tracking control of nonlinear uncertain mass–spring system with experimental verifications

Amirkhani

Mobayen

Iliaee

et al. 2019

International Journal of Advanced Robotic Systems

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“…In addition, some systems such as lithium-ion battery (Eddine et al, 2018) or the Bertrand super capacitor (Lewandowski and Orzyłowski, 2017) cannot be modelled by integer order derivatives, but their modelling is only possible through the application of fractional order derivatives. The dynamic fractional order modelling of heat diffusion in an aluminum rod Victor (Victor et al, 2013), fractional order modelling of synchronous motors with permanent magnet (Xie et al, 2018), electric pendulum modelling (Ramezani and Safarinejadian, 2017) and data transmission and reception cryptography (Muthukumar et al, 2017) can be considered as other applications of fractional order calculus.…”

Section: Introductionmentioning

confidence: 99%

Fractional order chaotic cryptography in colored noise environment by using fractional order interpolatory cubature Kalman filter

Ramezani

Safarinejadian

Zarei

2019

Transactions of the Institute of Measurement and Control

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In this paper, a novel estimation algorithm based on fractional order interpolatory cubature Kalman filter is introduced to achieve the state estimation in nonlinear discrete-time fractional order systems with colored noise. In the proposed approach, the system with colored noise is transformed to a system with correlated process and measurement noises by presenting a new auxiliary output based on the extension of the measurements differencing method. Then, the novel fractional order interpolatory cubature Kalman filter algorithm is introduced based on these new outputs. The proposed algorithm is applied for the synchronization of fractional order hyperchaotic Lorenz system targeting the cryptography in a communication system where the transmitter and the transmission channel possess colored noise. Simulation results demonstrate the effectiveness of the proposed scheme.

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“…Recently, control and synchronization of fractional-order chaotic systems (FOCSs), which can be seen as a generalization of the integer-order CSs, have been studied extensively. A lot of controllers have been implemented such as active control [10], feedback control [11], sliding mode control [12,13], adaptive control, [14,15], and adaptive fuzzy control [8,9,16].…”

Section: Introductionmentioning

confidence: 99%

Fractional-Order Sliding Mode Synchronization for Fractional-Order Chaotic Systems

Wang

2018

Advances in Mathematical Physics

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Some sufficient conditions, which are valid for stability check of fractional-order nonlinear systems, are given in this paper. Based on these results, the synchronization of two fractional-order chaotic systems is investigated. A novel fractional-order sliding surface, which is composed of a synchronization error and its fractional-order integral, is introduced. The asymptotical stability of the synchronization error dynamical system can be guaranteed by the proposed fractional-order sliding mode controller. Finally, two numerical examples are given to show the feasibility of the proposed methods.

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Sliding mode control design for synchronization of fractional order chaotic systems and its application to a new cryptosystem

Cited by 59 publications

References 35 publications

Fast terminal sliding mode tracking control of nonlinear uncertain mass–spring system with experimental verifications

Fast terminal sliding mode tracking control of nonlinear uncertain mass–spring system with experimental verifications

Fractional order chaotic cryptography in colored noise environment by using fractional order interpolatory cubature Kalman filter

Fractional-Order Sliding Mode Synchronization for Fractional-Order Chaotic Systems

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