Synchronisation of Unified Chaotic Systems Using Modified Nonlinear Active Control: Circuit Design, Implementation, and Secure Communication

Kumar, A. Nirmal; Singh, Piyush Pratap

doi:10.1080/03772063.2022.2060873

Cited by 7 publications

(2 citation statements)

References 33 publications

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“…The synchronization of chaos drives various chaotic systems towards each other. Previous researchers adopted to stabilize and synchronize chaotic system motions by using adequate control approaches such as active control (Durdu and Uyaroğlu, 2022; Kumar and Singh, 2022), passive control (Emiroglu and Uyaroglu, 2021; Su et al, 2022), sliding mode control (Huang et al, 2022; Kuz’menko, 2022; Xu et al, 2021; Zhang, 2021), linear feedback control (Aqeel et al, 2022; Qi et al, 2022), nonlinear feedback control (Aziz and Al-Azzawr, 2021; Lai et al, 2020), and time delay feedback control (Hong et al, 2022; Kobayashi, 2018).…”

Section: Introductionmentioning

confidence: 99%

Control & synchronization of a unified chaotic system using an adaptive controller with an extended Kalman–Bucy-filter based Auto-Tuner

Kızmaz

2023

Transactions of the Institute of Measurement and Control

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A current challenge with adaptive controllers is to define efficient tuning methods of the controller parameters. Unlike linear systems, nonlinear systems may need parameters that are continuously tuned at different operating points to provide stability and desired behaviours. This study aims to develop a solution for tuning proportional–integral–derivative (PID) controller parameters as opposed to changing the operating points of a nonlinear system. Most tuning methods calculate parameters according to the system’s step or frequency response. However, adaptive controllers have self-tuneable parameters or control rules. The proposed algorithm in this paper contains a controller, an estimator, and a reference model, and uses the system model. Unlike the model reference adaptive control method, the proposed controller has tuneable controller parameters estimated by the extended Kalman–Bucy filter. The filter estimates the controller parameters to make the system perform like the auxiliary ideal reference model to ensure minimum-time consumption. Hence, this study aims to develop an algorithm that will automatically calculate controller parameters for each operating point of the controlled chaotic or nonlinear system to minimize settling time at each operating point. The proposed algorithm is implemented in a unified chaotic system in which the estimator and controller of the system run together. Simulation results confirm the performance of the proposed algorithm. In addition, the simulation results provide strong evidence that the proposed algorithm can be an effective tool for controlling nonlinear or chaotic systems.

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Section: Introductionmentioning

confidence: 99%

Control & synchronization of a unified chaotic system using an adaptive controller with an extended Kalman–Bucy-filter based Auto-Tuner

Kızmaz

2023

Transactions of the Institute of Measurement and Control

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“…Since Lorenz discovered a chaotic system in 1963, the generation of chaotic system becomes hot research topic due to their complex behaviour such as unpredictability, variation due to initial conditions etc. The chaotic systems have wide range of applications in crypto systems (Zia et al 2022;El-Latif et al 2022;Lin et al 2022), secure communication (Kumar and Singh 2022;Zhou and Tan 2019) mobile robots (Nwachioma and Pérez-Cruz 2021;Cetina-Denis et al 2022), Circuit applications (Lai et al 2021;Wang et al 2015), IOT applications (Li et al 2022a;Trujillo-Toledo et al 2021) etc. Due to these applications, recently many researchers introduced new 3D chaotic systems (Veeman et al 2022;Hu et al 2022a;Ablay 2022;Ramakrishnan et al 2022).…”

Section: Introductionmentioning

confidence: 99%

Design of a New Chaotic System with Sine Function: Dynamic Analysis and Offset Boosting Control

Ramar¹

2023

Chaos Theory and Applications

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A new chaotic system with sine function is presented in this research work. The proposed system presents some special features such as two wing attractors, forward and reverse periodic doubling bifurcation, and dc offset boosting property which can be used to diagnosis the multistability behaviour in the dynamical system. The proposed system has three nonlinear terms and one sine term. The basic information such as equilibrium points, stability and Lyapunov exponents are discussed in detail. The dynamic analysis conducted using classic tools such as bifurcation diagram and Lyapunov exponent plot to verify the chaotic nature in the proposed system. The theoretical study and the simulation results show that the proposed system has chaotic behaviour itself.

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A novel approach to synchronizing a biological snap oscillator within a fixed time and expanding the method to various chaotic systems

Ouahabi,

Boulezaz

2024

J Supercomput

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Synchronisation of Unified Chaotic Systems Using Modified Nonlinear Active Control: Circuit Design, Implementation, and Secure Communication

Cited by 7 publications

References 33 publications

Control & synchronization of a unified chaotic system using an adaptive controller with an extended Kalman–Bucy-filter based Auto-Tuner

Control & synchronization of a unified chaotic system using an adaptive controller with an extended Kalman–Bucy-filter based Auto-Tuner

Design of a New Chaotic System with Sine Function: Dynamic Analysis and Offset Boosting Control

A novel approach to synchronizing a biological snap oscillator within a fixed time and expanding the method to various chaotic systems

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