Secure communication for non-ideal channel via robust TS fuzzy observer-based hyperchaotic synchronization

Vafamand, Navid; Khorshidi, Shapour; Khayatian, Alireza

doi:10.1016/j.chaos.2018.04.035

Cited by 40 publications

(16 citation statements)

References 31 publications

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“…Thus, there must be a scalar r ∈ {1, 2, ..., m} where ∀x ∈ S r when (t) = 0 , we can stabilize the nonlinear switched system (1) using the proposed VS control rule in (19).…”

Section: Remarkmentioning

confidence: 99%

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Robust adaptive control for a class of nonlinear switched systems using state-dependent switching

Noghredani

Pariz

2021

SN Appl. Sci.

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This paper presents a novel adaptive control for a class of nonlinear switched systems by introducing a sufficient condition for stabilization. Based on the possible instability of all sub-systems, a variable structure (VS) switching rule with an adaptive approach and sliding sector was offered. Moreover, the stability condition of the system can be determined by solving linear matrix inequalities (LMIs) to ensure asymptotic stability. The application of H∞ analysis of nonlinear switched systems was also investigated through the design of the mentioned adaptive control system and defining a VS switching rule. Finally, simulation results were presented to validate the novelty of the proposed method.

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“…Thus, there must be a scalar r ∈ {1, 2, ..., m} where ∀x ∈ S r when (t) = 0 , we can stabilize the nonlinear switched system (1) using the proposed VS control rule in (19).…”

Section: Remarkmentioning

confidence: 99%

“…A hyperchaotic secure communication scheme for non-ideal communication channels is designed in [19]. The proposed approach employs the Takagi-Sugeno (TS) fuzzy model and linear matrix inequality (LMI) technique to design a controller that synchronizes the hyperchaotic transmitter and receiver systems.…”

Section: Introductionmentioning

confidence: 99%

Robust adaptive control for a class of nonlinear switched systems using state-dependent switching

Noghredani

Pariz

2021

SN Appl. Sci.

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show abstract

“…(26) e error signal between the information signal and the decrypted signal is e(t) � s(t) − d(t). (27) (1) Numerical Simulation Results Based on Matlab. rough the encryption function, decryption function, and synchronization-related parameters, the numerical simulation results are shown in Figure 18 with k � 10.…”

Section: Chaotic Masking Communication Of the Novel 5dmentioning

confidence: 99%

“…Chaos is one of the most important achievements of nonlinear science. Its random-like and sensitive initial values make chaos have good potential applications in the elds of random number generation [18][19][20], cryptosystem [21,22], image encryption [23][24][25] and secure communication [26][27][28][29]. In recent years, many new multiwing (or multiscroll) chaotic systems have been discovered and proposed [30][31][32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

Analysis and FPGA Realization of a Novel 5D Hyperchaotic Four‐Wing Memristive System, Active Control Synchronization, and Secure Communication Application

Liu

et al. 2019

Complexity

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By introducing a flux-controlled memristor with quadratic nonlinearity into a 4D hyperchaotic system as a feedback term, a novel 5D hyperchaotic four-wing memristive system (HFWMS) is derived in this paper. The HFWMS with multiline equilibrium and three positive Lyapunov exponents presented very complex dynamic characteristics, such as the existence of chaos, hyperchaos, limit cycles, and periods. The dynamic characteristics of the HFWMS are analyzed by using equilibria, phase portraits, poincare map, Lyapunov exponential spectrum, bifurcation diagram, and spectral entropy. Of particular interest is that this novel system can generate two-wing hyperchaotic attractor under appropriate parameters and initial conditions. Moreover, the FPGA realization of the novel 5D HFWMS is reported, which prove that the system has complex dynamic behavior. Finally, synchronization of the 5D hyperchaotic system with different structures by active control and a secure signal masking application of the HFWMS are implemented based on numerical simulations and FPGA. This research demonstrates that the hardware-based design of the 5D HFWMS can be applied to various chaos-based embedded system applications including random number generation, cryptography, and secure communication.

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“…However, it is still possible to modify the behavior of such systems by means of a proper control input. This fact is the basis of successful applications in fields as optics [7][8][9][10], secure communications [11][12][13][14][15][16][17][18][19][20][21][22][23], finance [5,[24][25][26][27][28], power systems [29][30][31][32][33], electrical machinery [34][35][36], and so on.…”

Section: Introductionmentioning

confidence: 99%

Stabilization and Synchronization of Uncertain Zhang System by Means of Robust Adaptive Control

Pérez-Cruz

2018

Complexity

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Standard adaptive control is the preferred approach for stabilization and synchronization of chaotic systems when the structure of such systems is a priori known but the parameters are unknown. However, in the presence of unmodeled dynamics and/or disturbance, this approach is not effective anymore due to the drift of the parameter estimations, which eventually causes the instability of the closed-loop system. In this paper, a robustifying term, which consists of a saturation function, is used to avoid this problem. The robustifying term is added to the adaptive control law. Consequently, the learning law is also modified. The boundedness of the states and the parameter estimations is rigorously and thoroughly proven by means of Lyapunov like analysis based on Barbalat’s lemma. On these new conditions, the convergence to zero cannot be achieved due to the presence of unmodeled dynamics and/or disturbance. However, it is still possible to guarantee the asymptotic convergence to a bounded zone around zero. The width of this zone can be adjusted by the designer. The performance of this robust approach is verified by numerical simulations. Although, for simplicity, this strategy is only applied to the stabilization and synchronization of Zhang system, the procedure can easily be generalized to a broad class of chaotic systems.

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Secure communication for non-ideal channel via robust TS fuzzy observer-based hyperchaotic synchronization

Cited by 40 publications

References 31 publications

Robust adaptive control for a class of nonlinear switched systems using state-dependent switching

Robust adaptive control for a class of nonlinear switched systems using state-dependent switching

Analysis and FPGA Realization of a Novel 5D Hyperchaotic Four‐Wing Memristive System, Active Control Synchronization, and Secure Communication Application

Stabilization and Synchronization of Uncertain Zhang System by Means of Robust Adaptive Control

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