Modified projective synchronization of chaotic systems with disturbances via active sliding mode control

Cai, Ning; Jing, Yuanwei; Zhang, Siying

doi:10.1016/j.cnsns.2009.06.012

Cited by 99 publications

(33 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Inspired by [24,26] and considering the weakening chattering, we presented an active fuzzy sliding mode controller for UFPS of chaotic systems. Let the control input…”

Section: Active Fuzzy Sliding Mode Controlmentioning

confidence: 99%

Universal Function Projective Synchronization of Chaotic Systems with Uncertainty by Using Active Fuzzy Sliding Mode Control

Zhang

2016

Advances in Intelligent Systems and Computing

View full text Add to dashboard Cite

In the paper, the definition of universal function projective synchronization (UFPS) is restated which generalize the definition of modified function projective synchronization. An active fuzzy sliding mode controller is introduced for UFPS of chaotic systems. By using the fuzzy logical system, the chattering phenomenon is reduced. The systems with uncertainty are considered. Theoretical proofs are given based on the Lyapunov stability theory. Simulation results verify the effectiveness of the introduced approach.

show abstract

“…Inspired by [24,26] and considering the weakening chattering, we presented an active fuzzy sliding mode controller for UFPS of chaotic systems. Let the control input…”

Section: Active Fuzzy Sliding Mode Controlmentioning

confidence: 99%

Universal Function Projective Synchronization of Chaotic Systems with Uncertainty by Using Active Fuzzy Sliding Mode Control

Zhang

2016

Advances in Intelligent Systems and Computing

View full text Add to dashboard Cite

show abstract

“…Therefore, the synchronization time optimization is essential for satisfying the requirement of communication and this could be done by means of finite-time control-a very promising technique by which we can decide the settling time flexibly. Some authors have investigated chaos synchronization based on finite-time recently [8][9][10][11][12][13][14][15][16]. However, most of the reported works are more specific to some systems, such as Lorenz system and Chua system.…”

Section: Introductionmentioning

confidence: 99%

“…Many schemes and techniques for controlling chaos synchronization such as adaptive feedback control [1][2][3][4], state feedback control [5,6] and observer-based approach [7] etc have been developed. Furthermore, some attractive results of synchronization and applications in secure communication for a class of chaotic systems have been reported [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Design of Finite-Time Synchronization Controller and Its Application to Security Communication System

Ren¹,

Zhu²,

Yu³

2014

Appl. Math. Inf. Sci.

View full text Add to dashboard Cite

Abstract:In this paper, an finite-time synchronization controller is proposed for the general chaos model. Compared to other results, the controller designed is simpler and independent on the nonlinear function of chaos system. So the finite-time control scheme can be used in a wide range of chaos system. The simulation results are given to illustrate the effectiveness of the finite-time controller and the applicability to security communication system of this synchronization scheme.

show abstract

“…So far many types of projective methods have been studied by the researchers. Modified projective synchronization (MPS) [21]- [24], function projective synchronization (FPS) [25], [26], modified function projective synchronization (MFPS) [27], generalized function projective synchronization [28]- [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.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Projective Lag Synchronization of T and Lu Chaotic Systems

Tirandaz¹,

Ahmadnia²,

Tavakoli³

2017

IJECE

View full text Add to dashboard Cite

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

show abstract

Modified projective synchronization of chaotic systems with disturbances via active sliding mode control

Cited by 99 publications

References 18 publications

Universal Function Projective Synchronization of Chaotic Systems with Uncertainty by Using Active Fuzzy Sliding Mode Control

Universal Function Projective Synchronization of Chaotic Systems with Uncertainty by Using Active Fuzzy Sliding Mode Control

Design of Finite-Time Synchronization Controller and Its Application to Security Communication System

Adaptive Projective Lag Synchronization of T and Lu Chaotic Systems

Contact Info

Product

Resources

About