Adaptive backstepping synchronization of uncertain chaotic system

Yu, Yongguang; Zhang, Suochun

doi:10.1016/j.chaos.2003.12.067

Cited by 186 publications

(104 citation statements)

References 21 publications

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“…Hence, we have proved the following result. (13) and (14) with unknown parameters are globally and exponentially synchronized for all initial conditions by the adaptive control law (17), where the update law for parameters is given by (24) and , ( 1, ,10)…”

Section: Theoretical Resultsmentioning

confidence: 99%

Adaptive Stabilization and Synchronization of Hyperchaotic QI System

Vaidyanathan¹

2011

CSEIJ

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Section: Theoretical Resultsmentioning

confidence: 99%

Adaptive Stabilization and Synchronization of Hyperchaotic QI System

Vaidyanathan¹

2011

CSEIJ

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“…Therefore, various controllers have been proposed to achieve the stabilization of chaotic systems [3][4][5][6][7][8][9]. In [10], the output regulation problem for the Sprott-G chaotic system (1994) has been studied in detail.…”

Section: Introductionmentioning

confidence: 99%

Control of New 3D Chaotic System

Ziabari¹,

Sahab²

2014

IJITMC

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“…Until now, many kind of chaos control and synchronization schemes have developed by the researchers. Active method [1]- [3], adaptive method [4]- [6], phase method [7], backstepping method [8], [9], lag method [10], impulsive method [11], [12], linear feedback method [13], [14], nonlinear feedback control [15], [16], and projective method [17]- [20] are some of the investigated method during the last recent years. Among these investigated methods, chaos synchronization related to the projective method has considerably noticed during the last few decades due to its proportional feature, which the response chaotic system can be synchronized up to a typical aligned scaling factors.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Projective Lag Synchronization of T and Lu Chaotic Systems

Tirandaz¹,

Ahmadnia²,

Tavakoli³

2017

IJECE

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In this paper, the synchronization problem of T chaotic system and Lu chaotic system is studied. The parameter of the drive T chaotic system is considered unknown. An adaptive projective lag control method and also parameter estimation law are designed to achieve chaos synchronization problem between two chaotic systems. Then Lyapunov stability theorem is utilized to prove the validity of the proposed control method. After that, some numerical simulations are performed to assess the performance of the proposed method. The results show high accuracy of the proposed method in control and synchronization of chaotic systems. Keyword:Adaptive method Lyapunov stability theorem Chaos synchronization Projective lag method Copyright © 2017 Institute of Advanced Engineering and Science.All rights reserved. Corresponding Author:Hamed Tirandaz, Electrical and Computer Engineering Department, Hakim Sabzevari University, Sabzevar, Iran. Email: tirandaz@hsu.ac.ir INTRODUCTIONSensitivity to the initial values of the state variables is the main feature of any chaotic system, which causes exponentially different motion trajectories of the state variables with different initial conditions. The problem of chaos synchronization has received a lot of attention in the last three decades due to its potential applications in many different fields such as: physics, chemistry, electrical engineering, economics and secure communications. Until now, many kind of chaos control and synchronization schemes have developed by the researchers. [20] are some of the investigated method during the last recent years. Among these investigated methods, chaos synchronization related to the projective method has considerably noticed during the last few decades due to its proportional feature, which the response chaotic system can be synchronized up to a typical aligned scaling factors. So far many types of projective methods have been studied by the researchers. [30] are some of the projective related method for control and synchronization between two identical/non-identical chaotic systems. But, projective lag hybrid synchronization is rarely investigated by the researchers. So, this paper is devoted to the synchronization problem between T chaotic system and Lorenz chaotic system by designing an appropriate adaptive hybrid projective lag synchronization method.The rest reminder of this paper is constructed as follows: In Section 2, the structure of the T chaotic system and Lorenz chaotic system are described. Then, in Section 3, the problem of chaos synchronization of T chaotic system and Lorenz chaotic system is given. An adaptive projective lag control method is designed

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Adaptive backstepping synchronization of uncertain chaotic system

Cited by 186 publications

References 21 publications

Adaptive Stabilization and Synchronization of Hyperchaotic QI System

Adaptive Stabilization and Synchronization of Hyperchaotic QI System

Control of New 3D Chaotic System

Adaptive Projective Lag Synchronization of T and Lu Chaotic Systems

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