Adaptive Control Synchronization of a Novel Memristive Chaotic System for Secure Communication Applications

In this paper, a new memristive chaotic system is designed, analyzed, tested, and proposed. An adaptive control synchronization mechanism for both master and slave chaotic systems is also designed. The adaptive control law of this mechanism is derived based on the Lyapunov theory. A single parameter in the slave system has been assumed to be unknown. As the parameters of the master and slave are asymptotically matched, the unknown slave parameters will be identified according to the master’s parameters. The proposed system is used in a secure communication system. The achieved results prove a simple system implementation with a high security of data transmission.

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Improved Robust Adaptive Control Law for a Class of Uncertain Nonlinear Systems and Its Application to Chaotic Systems

Iranian Journal of Science and Technology Transactions of Electrical Engineering ◽

10.1007/s40998-019-00194-7 ◽

2019 ◽

Vol 43 (4) ◽

pp. 741-756 ◽

Cited By ~ 1

Author(s):

Valiollah Ghaffari ◽

Abolhassan Razminia ◽

Mojtaba Mirzaei

Keyword(s):

Adaptive Control ◽

Nonlinear Systems ◽

Chaotic Systems ◽

Robust Adaptive Control ◽

Control Law ◽

Uncertain Nonlinear Systems ◽

Robust Adaptive ◽

Adaptive Control Law

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On Complete Control and Synchronization of Zhang Chaotic System with Uncertain Parameters using Adaptive Control Method

Nonlinear Engineering ◽

10.1515/nleng-2017-0050 ◽

2018 ◽

Vol 7 (1) ◽

pp. 45-50 ◽

Cited By ~ 1

Author(s):

Hamed Tirandaz

Keyword(s):

Adaptive Control ◽

Chaotic System ◽

Control Method ◽

Three Dimensional ◽

Parameters Estimation ◽

Control Law ◽

Complete Control ◽

Synchronization Problem ◽

Control And Synchronization ◽

Adaptive Control Law

Abstract Chaos control and synchronization of chaotic systems is seemingly a challenging problem and has got a lot of attention in recent years due to its numerous applications in science and industry. This paper concentrates on the control and synchronization problem of the three-dimensional (3D) Zhang chaotic system. At first, an adaptive control law and a parameter estimation law are achieved for controlling the behavior of the Zhang chaotic system. Then, non-identical synchronization of Zhang chaotic system is provided with considering the Lü chaotic system as the follower system. The synchronization problem and parameters identification are achieved by introducing an adaptive control law and a parameters estimation law. Stability analysis of the proposed method is proved by the Lyapanov stability theorem. In addition, the convergence of the estimated parameters to their truly unknown values are evaluated. Finally, some numerical simulations are carried out to illustrate and to validate the effectiveness of the suggested method.

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Modelling of a logarithmic parameter adaptation law for adaptive control of mechanical manipulators

Robotica ◽

10.1017/s0263574705002523 ◽

2006 ◽

Vol 24 (4) ◽

pp. 523-525 ◽

Cited By ~ 1

Author(s):

Recep Burkan

Keyword(s):

Parameter Estimation ◽

Adaptive Control ◽

Tracking Error ◽

Lyapunov Theory ◽

Control Law ◽

Trigonometric Functions ◽

Parameter Adaptation ◽

Mechanical Manipulators ◽

Adaptation Law ◽

Adaptive Control Law

In the paper, a new adaptive control law for controlling robot manipulators is derived based on the Lyapunov theory; trigonometric functions are used for the derivation of the parameter estimation law. In this note, we have derived a logarithmic parameter estimation law based on a previous paper, and the boundedness of tracking error has been shown.

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Anti-Synchronization of Tigan and Li Systems with Unknown Parameters via Adaptive Control

An International Journal of Optimization and Control Theories & Applications (IJOCTA) ◽

10.11121/ijocta.01.2012.0076 ◽

2011 ◽

Vol 2 (1) ◽

pp. 17-28

Author(s):

Vaidyanathan SUNDARAPANDIAN ◽

Karthikeyan RAJAGOPAL

Keyword(s):

Adaptive Control ◽

Feedback Control ◽

Chaotic Systems ◽

Control Method ◽

Adaptive Synchronization ◽

Control Law ◽

Slave System ◽

Unknown Parameters ◽

Master System ◽

Uncertain Chaotic Systems

In this paper, we apply adaptive control method toderive new results for the anti-synchronization of identical Tigansystems (2008), identical Li systems (2009) and non-identical Tiganand Li systems. In adaptive anti-synchronization of identical chaoticsystems, the parameters of the master and slave systems are unknownand we devise feedback control law using the estimates of the systemparameters. In adaptive anti-synchronization of non-identical chaoticsystems, the parameters of the master system are known, but theparameters of the slave system are unknown and we devise feedbackcontrol law using the estimates of the parameters of the slave system.Our adaptive synchronization results derived in this paper for theuncertain Tigan and Li systems are established using Lyapunovstability theory. Since the Lyapunov exponents are not required forthese calculations, the adaptive control method is very effective andconvenient to achieve anti-synchronization of identical and nonidenticalTigan and Li systems. Numerical simulations are shown todemonstrate the effectiveness of the adaptive anti-synchronizationschemes for the uncertain chaotic systems addressed in this paper.

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Advanced Adaptive Vibration Controller for Active Magnetic Bearing with Application to Energy Storage Flywheel

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.805-806.530 ◽

2013 ◽

Vol 805-806 ◽

pp. 530-536

Author(s):

Xiao Qiang Du ◽

Yong Duan Song ◽

Lei Wang ◽

Yan Hui Wang ◽

Bao Liang Zan

Keyword(s):

Adaptive Control ◽

Energy Storage ◽

Storage System ◽

Energy Storage System ◽

Magnetic Bearing ◽

Lyapunov Theory ◽

Active Magnetic Bearing ◽

Control Law ◽

Control Approach ◽

Adaptive Control Law

This work introduced a kind of advanced adaptive control approach applied in Active magnetic bearing (AMB) to suppress the rotors vibrations in Flywheel Energy Storage System (FESS). The bearings system was built as a five degree-of-freedom (DOF) system and the four radial DOF among these were adopted AMB. Based on the Lyapunov theory, the proposed adaptive control law was designed to compensate various disturbance factors by controlling the AMBs. Finally, the simulation result illustrates that the proposed adaptive control law is effective to reduce the rotors vibration and improve the systems stability.

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Adaptive Anti-synchronization of Identical and Non-identical 4-D Chaotic Systems

International Journal of Electronics Signals and Systems ◽

10.47893/ijess.2012.1031 ◽

2012 ◽

pp. 160-164

Author(s):

H. Najafizadegan ◽

M. Khoeiniha ◽

H. Zarabadipour

Keyword(s):

Adaptive Control ◽

Theoretical Analysis ◽

Lyapunov Stability ◽

Stability Theory ◽

Chaotic Systems ◽

Lyapunov Stability Theory ◽

Control Law ◽

Unknown Parameters ◽

Different Chaotic Systems ◽

Adaptive Control Law

In this paper, we investigate the chaos anti-synchronization between two identical and different chaotic systems with fully unknown parameters via adaptive control. Based on the Lyapunov stability theory, an adaptive control law and a parameter update rule for unknown parameters are designed such that the two different chaotic systems can be anti-synchronized asymptotically. Theoretical analysis and numerical simulations are shown to verify the results.

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