Chaos Synchronization for Hyperchaotic Lorenz-Type System via Fuzzy-Based Sliding-Mode Observer

Plata, Corina; Prieto, Pablo J.; Ramirez-Villalobos, Ramon; Coria, Luis N.

doi:10.3390/mca25010016

Cited by 4 publications

(5 citation statements)

References 26 publications

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“…where ν is the estimation of ν, and ν represents the upper bound of AE υ that is defined in (41). It is assumed that: ν ≥ |υ| (46) The time derivative of V in (44), yields:…”

Section: Resultsmentioning

confidence: 99%

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A New Type-3 Fuzzy Logic Approach for Chaotic Systems: Robust Learning Algorithm

et al. 2022

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The chaotic systems have extensive applications in various branches of engineering problems such as financial problems, image processing, secure communications, and medical problems, among many others. In most applications, a synchronization needs to be made with another favorite chaotic system, or output trajectories track the desired signal. The dynamics of these systems are complicated, they are very sensitive to the initial conditions, and they exhibit a stochastic unpredictable behavior. In this study, a new robust type-3 fuzzy logic control (T3-FLC) is designed that can be applied for a large case of chaotic systems under faulty actuators and unknown perturbed dynamics. The dynamic uncertainties are estimated by the online learned type-3 fuzzy logic systems (T3-FLSs). The rules of T3-FLS are optimized by the Lyapunov theorem. The actuator nonlinearities are identified by a new method. The effects of approximation error (AE), dynamic perturbations and unknown time-varying control gains are tackled by the designed adaptive compensator. The designed compensator is constructed by online estimation of the upper bound of AE. By several simulations and comparison with the new FLS-based controllers, the better performance of the designed T3-FLC is shown. In addition, the performance of the designed controller is examined in a secure communication system.

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“…where ν is the estimation of ν, and ν represents the upper bound of AE υ that is defined in (41). It is assumed that: ν ≥ |υ| (46) The time derivative of V in (44), yields:…”

Section: Resultsmentioning

confidence: 99%

“…In [45], the event-triggered scheme is improved by FLS, and some conditions are derived to deal with faulty synchronization situations. In [46], an observer is designed for the Lorenz system by the use of FLSs and the SMC scheme, and solving of the chattering problem in conventional SMC is studied.…”

Section: Introductionmentioning

confidence: 99%

A New Type-3 Fuzzy Logic Approach for Chaotic Systems: Robust Learning Algorithm

et al. 2022

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“…It does not mean that there is no chattering effect in Higher order sliding mode observers, it is just reduced. If we want to eliminate it almost completely we can replace the discontinuous functions as the sign function with fuzzy inference systems [Plata et al, 2020;Prieto-Entenza et al, 2019].…”

Section: Higher-order Sliding Mode Observersmentioning

confidence: 99%

Chaos Synchronization using Nonlinear Observers with applications to Cryptography

Belhadjoudja

2021

Preprint

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The goal of this survey paper is to provide an introduction to chaos synchronization using nonlinear observers and its applications in cryptography. I start with an overview of cryptography. Then, I recall the basics of chaos theory and how to use chaotic systems for cryptography, with an introduction to the problem of chaos synchronization. Then, I present the theory of non-linear observers, which is used for the synchronization of chaotic systems. I start with an explanation of the observability problem. Then, I introduce some of the classical observers: Kalman filter, Luenberger observer, Extended Kalman filter, Thau's observer, and High gain observer. I finish by introducing the more advanced observers: Adaptive observers, Unknown inputs observers, Sliding mode observers and ANFIS (Adaptive Neuro-Fuzzy Inference Systems) observers.

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“…These two systems can be coupled in one direction, also known as master-slave configuration, where the autonomous system with hyperchaotic dynamics is called the master system, and the other system forced to follow the hyperchaotic behavior by the coupling input is called the slave system. Many techniques have been introduced and successfully applied to synchronize identical or dissimilar chaotic systems including linear feedback control [26], sliding mode control [27,28,29], and so on. It is well known the controller plays a crucial role in synchronization implementation.…”

Section: Introductionmentioning

confidence: 99%

LQR Chaos Synchronization for a Novel Memristor-Based Hyperchaotic Oscillator

Xiao

2022

Mathematics

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In a three-dimensional dissipative chaotic system circuit, by superimposing a cubic magnetron-type memristor and connecting a feedback circuit, a new four-dimensional synchronous controlling system is established. The control parameters have a significant impact on the system, and the system displays rich dynamic features such as hyperchaos, chaos, and period states. At the same time, the synchronization scheme for the chaotic system is designed based on the linear quadratic regulator (LQR), which effectively improves the system response speed and reduces the complexity of the synchronous controlling system. Further, numerical verification is carried out. Finally, a detailed verification of the chaotic system's dynamic characteristics is performed by hardware simulation. Simulation results and performance analysis show that the proposed method has synchronous controlling performance. Compared to some existing synchronous controlling schemes, this method is more widely applicable.

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Chaos Synchronization for Hyperchaotic Lorenz-Type System via Fuzzy-Based Sliding-Mode Observer

Cited by 4 publications

References 26 publications

A New Type-3 Fuzzy Logic Approach for Chaotic Systems: Robust Learning Algorithm

A New Type-3 Fuzzy Logic Approach for Chaotic Systems: Robust Learning Algorithm

Chaos Synchronization using Nonlinear Observers with applications to Cryptography

LQR Chaos Synchronization for a Novel Memristor-Based Hyperchaotic Oscillator

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