Active Control Synchronization of Similar and Dissimilar Chaotic Systems

Pallav,; Handa, Himesh

doi:10.1109/i-pact52855.2021.9696832

Cited by 9 publications

(2 citation statements)

References 12 publications

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“…Numerous control procedures have been established for chaos synchronization of chaotic/hyperchaotic systems. For example, observer-based control (Mohammadpour and Binazadeh, 2018), adaptive control (Ahmad and Shafiq, 2020; Wu et al, 2008), backstepping control (Vincent, 2008), active control (Pallav and Handa, 2021; Park, 2006; Vaidyanathan, 2011), sliding mode control (Chen et al, 2012; Shahi and Fallah Kazemi, 2017), feedback control (Pallav and Handa, 2022), and so on. Several synchronization schemes such as hybrid synchronization (Singh et al, 2014a), generalized synchronization (Wang and Guan, 2006), complete synchronization (Fabiny and Wiesenfeld, 1991), anti-synchronization (Mossa Al-sawalha and Noorani, 2009), hybrid projective synchronization (HPS; Mainieri and Rehacek, 1999; Wei et al, 2014), projective synchronization (Li, 2007), and so on have also been introduced and are gaining popularity with time.…”

Section: Introductionmentioning

confidence: 99%

Projective synchronization for a new class of chaotic/hyperchaotic systems with and without parametric uncertainty

Yadav

Pallav

Handa

2023

Transactions of the Institute of Measurement and Control

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The term “chaotic system” refers to a kind of dynamical system that is characterized by its extreme sensitivity to its initial conditions. The ability of such dynamical systems to maintain synchronization is one of the extremely crucial features of these systems. There is an increasing fascination in chaotic systems with real-state variables, and they are being discovered as well as explored in greater depth in a variety of areas of nonlinear science. In this manuscript, a mixture of active nonlinear control scheme as well as adaptive control scheme has been recommended to investigate the full-order and reduced-order projective synchronization for a unique class of chaotic and hyperchaotic systems with as well as without uncertain parameters. Active nonlinear control technique is an effective method, which has been extensively used to synchronize two chaotic systems in master–slave configuration when parameters of the systems under consideration are fully known in advance. However, in practical scenarios, system parameters are not exactly known in advance. This often occurs due to the factors such as limitations associated with the experimental conditions, mutual interference among system components or due to the influence of external environmental factors. Therefore, in such cases, the designer has to go for the adaptive control technique to develop the adaptation control laws for unknown system parameters. Adaptive active nonlinear controller and parameter adaptation laws have been introduced here using Lyapunov stability criteria to confirm that the error dynamics of the synchronizing chaotic systems become asymptotic stable. Furthermore, numerical simulations on Lorenz hyperchaotic fourth-order system and Pehlivan chaotic third-order system are shown to demonstrate that the proposed synchronization scheme is working effectively.

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Section: Introductionmentioning

confidence: 99%

Projective synchronization for a new class of chaotic/hyperchaotic systems with and without parametric uncertainty

Yadav

Pallav

Handa

2023

Transactions of the Institute of Measurement and Control

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“…This is the reason why chaos synchronization has drawn the attention of scholars from all across. Various as well as numerous methods have been presented for synchronization of chaotic systems, such as active control [4][5][6][7], backstepping control [8,9], fuzzy control [10,11], impulsive control [12][13][14], event-triggered-based neural network [15,16], output feedback control [17,18], projective synchronization [19], and sliding mode control [20][21][22]. It is worth mentioning the recent contribution of various synchronization techniques that have been proposed.…”

Section: Introductionmentioning

confidence: 99%

Internal Synchronization Using Adaptive Control

Shahzad¹,

Raziuddin²,

Naheed³

2022

Computational and Mathematical Methods

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This paper mainly deals on the issue of a chaotic synchronization of a master and slave systems. It is generally the requirement of the synchronization that someone needs at least one to one master and slave systems. In the current study, the authors introduce the concept of a synchronization in which there is no need of slave/response system externally. Furthermore, the synchronization has been demonstrated here within a system among the subsystems of different orders. In addition, adaptive control is chosen for the synchronization among various combinations in multiswitching manner. For demonstration purpose, Lorenz Six Dimensional Hyper Chaotic System (L6DHCS) is chosen. There are three different kinds of possible switches presented by the authors formed within the considered system. The numerical simulations are carried out to validate the effectiveness of the analytical technique using Mathematica.

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Finite-Time Inverse Optimal Control for a General Class of Chaotic Systems

Anand

Aguiar

2022

Lecture Notes in Electrical Engineering

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Active Control Synchronization of Similar and Dissimilar Chaotic Systems

Cited by 9 publications

References 12 publications

Projective synchronization for a new class of chaotic/hyperchaotic systems with and without parametric uncertainty

Projective synchronization for a new class of chaotic/hyperchaotic systems with and without parametric uncertainty

Internal Synchronization Using Adaptive Control

Finite-Time Inverse Optimal Control for a General Class of Chaotic Systems

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