Robust finite-time synchronization of uncertain chaotic systems: application on Duffing-Holmes system and chaos gyros

Mohammadpour, Samaneh; Binazadeh, Tahereh

doi:10.1080/21642583.2018.1428695

Cited by 22 publications

(13 citation statements)

References 31 publications

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“…In what follows, a finite-time synchronization controller has been proposed. Recently, finite-time synchronization control schemes have been used by many researchers (Aghababa et al, 2011; Ding et al, 2009; Li and Tian, 2003; Mohammadpour and Binazadeh, 2018; Wang et al, 2009). Consider the following nonsingular sliding surfacewhere ps and qs are positive odd integers and satisfy the condition 1≤(ps/qs )≤2.…”

Section: Controller Designmentioning

confidence: 99%

Adaptive synchronization of two different uncertain chaotic systems with unknown dead-zone input nonlinearities

Heidarzadeh

Shahmoradi

Shahrokhi

2020

Journal of Vibration and Control

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The present work addresses chaos synchronization between two different general chaotic systems with parametric and structural uncertainties, subject to external disturbances and input dead-zone nonlinearities. In this regard, a novel robust controller has been designed that guarantees asymptotic stability of synchronization errors and boundedness of all closed-loop signals. One advantage of the proposed controller over the existing control algorithms is using only one update law for estimating the structural uncertainties, external disturbances, and unknown characteristics of the dead-zone nonlinearities, which reduces the computational burden considerably. The designed controller is singularity free, and a smooth projection algorithm has been used to make the controller more robust. In addition, a finite-time controller has been designed and its performance has been compared with the robustly designed controller.

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Section: Controller Designmentioning

confidence: 99%

Adaptive synchronization of two different uncertain chaotic systems with unknown dead-zone input nonlinearities

Heidarzadeh

Shahmoradi

Shahrokhi

2020

Journal of Vibration and Control

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“…In practical applications, it is often necessary to ensure system stability in a finite time (Hosseinabadi et al 2018). In (Mohammadpour & Binazadeh, 2018), a finite-time stability concept has been considered to synchronize two chaotic systems. In (Hosseinabadi et al 2018), the finite-time stability has been ensured in a presented stability time by using a terminal sliding mode control methodology for a hyperchaotic system.…”

Section: Introductionmentioning

confidence: 99%

Fixed-Time Adaptive Robust Synchronization with a State Observer of Chaotic Support Structures for Offshore Wind Turbines

Hosseinabadi

Abadi

Mekhilef

et al. 2021

J Control Autom Electr Syst

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The chaotic support structures for offshore wind turbines are often subjected to a severe environment. A robust control scheme needs to be considered to maintain them in a safe operational limit. Robust sliding mode control (SMC) scheme can provide an excellent robust controller against this severe and challenging environment for these chaotic structures. This paper proposes a novel fixed-time adaptive sliding mode control scheme with a state observer to synchronize chaotic support structures for offshore wind turbines in the presence of matched parametric uncertainties. The proposed controller is a new integration of adaptive control concept, SMC method, fixed-time stability concept and a state observer. A fixed-time stability concept is used to provide stability for the system within a presented time regardless of initial conditions. The adaptive concept is utilized to provide an online estimator of the uncertain upper bound. Also, a nonlinear observer is employed to provide an online estimator of an unmeasured state in the controller. Lyapunov stability theorem is used to analyze fixed-time stability of the system based on SMC methodology. The simulation results demonstrate that the proposed controller is able to ensure fixed-time synchronization along with providing precise means to estimate the unmeasured state as well as uncertainty upper bound.

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“…The convergence time to zero and amplitude of oscillations of the error signals are two essential factors in practical applications; quick recovery of the information signals in secure communications restricts the hacking duration (Ahmad et al , 2018a) and error oscillations with low magnitude reduce the energy consumptions. The finite-time control (FTC) techniques have advantages to enrich the robustness and disturbances rejection properties in real-world control applications as compared to the asymptotic stability (Shi et al , 2017; Guo, 2012; Pang et al , 2016; Mohammadpour and Binazadeh, 2018; Luo and Wang, 2014; Jing et al , 2019; Jing et al , 2020). Literature reports several papers that accomplish synchronization in given finite-time.…”

Section: Introductionmentioning

confidence: 99%

A generalized finite-time analytical approach for the synchronization of chaotic and hyperchaotic systems

Haris¹,

Shafiq

Ibrahim

et al. 2020

MMMS

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PurposeThe purpose of this paper is to develop some interesting results in the field of chaotic synchronization with a new finite-time controller to reduce the time of convergence.Design/methodology/approachThis article proposes a finite-time controller for the synchronization of hyper(chaotic) systems in a given time. The chaotic systems are perturbed by the model uncertainties and external disturbances. The designed controller achieves finite-time synchronization convergence to the steady-state error without oscillation and elimination of the nonlinear terms from the closed-loop system. The finite-time synchronization convergence reduces the hacking duration and recovers the embedded message in chaotic signals within a given preassigned limited time. The free oscillation convergence keeps the energy consumption low and alleviates failure chances of the actuator. The proposed finite-time controller is a combination of linear and nonlinear parts. The linear part keeps the stability of the closed-loop, the nonlinear part increases the rate of convergence to the origin. A generalized form of analytical stability proof is derived for the synchronization of chaotic and hyper-chaotic systems. The simulation results provide the validation of the accomplish synchronization for the Lu chaotic and hyper-chaotic systems.FindingsThe designed controller not only reduces the time of convergence without oscillation of the trajectories which can run the system for a given time domain.Originality/valueThis work is originally written by the author.

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Robust finite-time synchronization of uncertain chaotic systems: application on Duffing-Holmes system and chaos gyros

Cited by 22 publications

References 31 publications

Adaptive synchronization of two different uncertain chaotic systems with unknown dead-zone input nonlinearities

Adaptive synchronization of two different uncertain chaotic systems with unknown dead-zone input nonlinearities

Fixed-Time Adaptive Robust Synchronization with a State Observer of Chaotic Support Structures for Offshore Wind Turbines

A generalized finite-time analytical approach for the synchronization of chaotic and hyperchaotic systems

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