An observer-based approach for chaotic synchronization with applications to secure communications

Liao, Teh‐Lu; Huang, Nan-Sheng

doi:10.1109/81.788817

Cited by 314 publications

(15 citation statements)

References 25 publications

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“…Subsequent studies of this work will consider more aspects for chaos based secure communication, utilizing systems with hidden attractors. These include systems of higher dimension, hyperchaotic systems [15,22], and discrete time systems [69,70]. Also, the transmission of different types of signals, for example for image transmission will also be considered, and also the nonlinear transmission of the information signal.…”

Section: Conclusion and Future Aspectsmentioning

confidence: 99%

“…The circuit implementation is also under study. It has been previously pointed that hardware limitations can arise, for example, in [15] it is noted that the resistance and capacitance of the circuit elements in the master and slave system will have slight deflections. Still, there is an interest in working on a design that will be robust in countering such limitations.…”

Section: Conclusion and Future Aspectsmentioning

confidence: 99%

“…Over the years, chaos synchronization has found applications in many scientific disciplines, including, but not limited to, encryption and secure transmission [2][3][4][5][6][7][8], optics and lasers [9,10], engineering [11] and robotics [12][13][14]. So far, a wide variety of design approaches have been applied for synchronization [2,[15][16][17][18][19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

“…There have been several different approaches to this problem [21,[25][26][27][28][29]. This work considers the descriptor observer approach, which is studied in [15][16][17][18][19][20]28,[30][31][32]. In this work, a nonlinear system (the master system) is designed, and a desired transmitted signal is fed to the system as an input.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of a Chaotic System with Line Equilibrium and Its Application to Secure Communications Using a Descriptor Observer

et al. 2019

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In this work a novel chaotic system with a line equilibrium is presented. First, a dynamical analysis on the system is performed, by computing its bifurcation diagram, continuation diagram, phase portraits and Lyapunov exponents. Then, the system is applied to the problem of secure communication. We assume that the transmitted signal is an additional state. For this reason, the nonlinear system is rewritten in a rectangular descriptor form and then an observer is constructed for achieving synchronization and input reconstruction. If we assume some rank conditions (on the nonlinearities and the solvability of a linear matrix inequality (LMI)) on the system matrices then the observer synchronization can be feasible. We evaluate and demonstrate our approach with specific numerical results.

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Section: Conclusion and Future Aspectsmentioning

confidence: 99%

Section: Conclusion and Future Aspectsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Analysis of a Chaotic System with Line Equilibrium and Its Application to Secure Communications Using a Descriptor Observer

et al. 2019

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“…In fact, the state trajectories of chaotic systems evolve in a strange attractor. In addition, there are several control methods for chaotic systems which have extensively been studied in the literature, such as linear state error [11], impulsive control [12], adaptive control [13], fuzzy model [14], sliding mode control design [15] [16], Robust chaos suppression [17], etc.…”

Section: Introductionmentioning

confidence: 99%

Chaos Synchronization in Lorenz System

Khan¹,

Singh²

2015

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Avoiding singularities in recurrent neural control for induction motors

Felix

Sánchez

Loukianov

2011

Int. J. Adapt. Control Signal Process.

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In this paper, a master-slave synchronization scheme based on parameter identification is proposed to overcome the controller singularity problem that appears when linearization-like techniques are applied in indirect adaptive neural control, like Neural Block Control (NBC). Such a synchronization strategy requires an identifier-like recurrent neural network and an adaptive law to update the neural weights. The proposed adaptive law prevents both, specific adaptive weights zero-crossing and the 'parameter drift' phenomenon. NBC consists of two tasks; synchronizing an identifier-like recurrent neural network (slave) with the plant (master) and controlling the system based on the slave model. The effectiveness of the synchronization law is tested using NBC for controlling the angular speed and magnetic flux magnitude of an induction motor. Using a priori knowledge about the real plant, a high-order recurrent neural network is proposed as the slave system. Based on the slave neural model, a discontinuous control law is derived, which combines Block Control and Sliding Modes. NBC with the proposed synchronization strategy is tested via simulations, comparing results with a standard parameters adaptive law.

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An observer-based approach for chaotic synchronization with applications to secure communications

Cited by 314 publications

References 25 publications

Analysis of a Chaotic System with Line Equilibrium and Its Application to Secure Communications Using a Descriptor Observer

Analysis of a Chaotic System with Line Equilibrium and Its Application to Secure Communications Using a Descriptor Observer

Chaos Synchronization in Lorenz System

Avoiding singularities in recurrent neural control for induction motors

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