Chaos control in delayed chaotic systems via sliding mode based delayed feedback

Vasegh, Nastaran; Sedigh, Ali Khaki

doi:10.1016/j.chaos.2007.07.038

Cited by 13 publications

(4 citation statements)

References 14 publications

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“…It is shown that a linear time-invariant system with the desired system dynamics is used as a reference model for the output of a time-delay chaotic system to track. Chaos control for scalar-delayed chaotic systems using sliding mode control strategy is achieved in [38]. Sliding surface design is based on delayed feedback controller, and it is shown that the proposed controller can achieve stability for an arbitrary unstable fixed point (UPF) or unstable periodic orbit (UPO) with an arbitrary period.…”

Section: Adaptive Sliding Mode Controlmentioning

confidence: 99%

A Novel Approach to Numerical Modeling of Metabolic System: Investigation of Chaotic Behavior in Diabetes Mellitus

et al. 2018

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Although many mathematical models have been presented for glucose and insulin interaction, none of these models can describe diabetes disease completely. In this work, the dynamical behavior of a regulatory system of glucose-insulin incorporating time delay is studied and a new property of the presented model is revealed. This property can describe the diabetes disease better and therefore may help us in deeper understanding of diabetes, interactions between glucose and insulin, and possible cures for this widespread disease.

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Section: Adaptive Sliding Mode Controlmentioning

confidence: 99%

A Novel Approach to Numerical Modeling of Metabolic System: Investigation of Chaotic Behavior in Diabetes Mellitus

et al. 2018

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“…Sliding Mode Control (SMC) is often adopted, due to its inherent advantages of fast dynamic response, guaranteed stability, robustness against matching external disturbances, andinternal parameter variations. Several controllers based on sliding mode control have been proposed for chaos schemes [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Adaptive Type-2 Fuzzy Second Order Sliding Mode Control for Nonlinear Uncertain Chaotic System

Hendel¹,

Khaber²,

Essounbouli³

2015

IJCSITCE

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“…Based on this method, the control input is fed by the difference between the current state and the delayed state. Currently, the delayed feedback control method has been extensively applied to controlling chaos [8,9,12,22,[28][29][30][31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Time-Delayed Impulsive Control of Chaotic System Based on T-S Fuzzy Model

Jiang

2014

Mathematical Problems in Engineering

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This paper is concerned with the time-delayed impulsive control and synchronization of general chaotic system based on T-S fuzzy model. By utilizing impulsive control theory, time-delayed feedback control technique, and T-S fuzzy model, some useful and new conditions are derived to guarantee the stability and synchronization of the addressed chaotic system. Finally, some numerical simulations are given to illustrate the effectiveness of the derived results.

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Chaos control in delayed chaotic systems via sliding mode based delayed feedback

Cited by 13 publications

References 14 publications

A Novel Approach to Numerical Modeling of Metabolic System: Investigation of Chaotic Behavior in Diabetes Mellitus

A Novel Approach to Numerical Modeling of Metabolic System: Investigation of Chaotic Behavior in Diabetes Mellitus

Adaptive Type-2 Fuzzy Second Order Sliding Mode Control for Nonlinear Uncertain Chaotic System

Time-Delayed Impulsive Control of Chaotic System Based on T-S Fuzzy Model

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