A simple adaptive feedback control method for chaos and hyper-chaos control

This paper investigates the application of the adaptive feedback control method in the chaotic system and Single-state Adaptive Feedback Controller. We divide the adaptive feedback controller into several items, each of which has only one component of the system states as feedback input into each dimension of the system. With the introduction of single-state controller, the scale of control inputs can be flexibly adjusted, the additional loading reduced, better convergence effect obtained and the application field of adaptive feedback control methods further extended in stable control analysis of chaotic systems. An example is also given to illustrate the validity of our result.

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Chaos Control of a Chemical Chaotic System via Time-delayed Feedback Control Method

International Journal of Automation and Computing ◽

10.1007/s11633-014-0804-7 ◽

2014 ◽

Vol 11 (4) ◽

pp. 392-398 ◽

Cited By ~ 5

Author(s):

Chang-Jin Xu ◽

Yu-Sen Wu

Keyword(s):

Feedback Control ◽

Chaotic System ◽

Chaos Control ◽

Control Method ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Feedback Control Method ◽

Time Delayed Feedback

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Adaptive Control Design for Hydrogen Production via Autothermal Reforming of Methanol

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.418-420.377 ◽

2011 ◽

Vol 418-420 ◽

pp. 377-382 ◽

Cited By ~ 2

Author(s):

Jian Feng Zheng ◽

Qin Min Yang ◽

Jian Gang Lu ◽

You Xian Sun

Keyword(s):

Hydrogen Production ◽

Control Strategy ◽

Control Method ◽

Control Design ◽

Autothermal Reforming ◽

Adaptive Feedback ◽

Adaptive Feedback Control ◽

Feedback Control Method ◽

Complex Chemical Reactions ◽

Simulation Results

Autothermal reforming of methanol is considered to be a promising choice for hydrogen production. However, due to the fact that a series of complex chemical reactions are involved, an exact mathematical model is extremely hard to be established, which makes the control of the process a recognized difficulty. Therefore, an adaptive feedback control method is proposed in this work for the control of hydrogen production through autothermal reforming of methanol without the requirement of an accurate model. Theoretical analysis proves that this control strategy can achieve very good performance even when the system’s parameters change significantly. Moreover, simulation results demonstrate the feasibility of this approach.

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Adaptive Feedback Control for Chaos Control and Synchronization for New Chaotic Dynamical System

Mathematical Problems in Engineering ◽

10.1155/2012/347210 ◽

2012 ◽

Vol 2012 ◽

pp. 1-12 ◽

Cited By ~ 4

Author(s):

M. M. El-Dessoky ◽

M. T. Yassen

Keyword(s):

Dynamical System ◽

Adaptive Control ◽

Feedback Control ◽

Chaos Control ◽

Control Technique ◽

Unknown Parameters ◽

Chaotic Dynamical System ◽

Adaptive Feedback ◽

Adaptive Feedback Control ◽

Control And Synchronization

This paper investigates the problem of chaos control and synchronization for new chaotic dynamical system and proposes a simple adaptive feedback control method for chaos control and synchronization under a reasonable assumption. In comparison with previous methods, the present control technique is simple both in the form of the controller and its application. Based on Lyapunov's stability theory, adaptive control law is derived such that the trajectory of the new system with unknown parameters is globally stabilized to the origin. In addition, an adaptive control approach is proposed to make the states of two identical systems with unknown parameters asymptotically synchronized. Numerical simulations are shown to verify the analytical results.

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