scholarly journals Adaptive Control of Chaos in Chua's Circuit

2011 ◽  
Vol 2011 ◽  
pp. 1-14 ◽  
Author(s):  
Weiping Guo ◽  
Diantong Liu
Keyword(s):  
Feedback Control ◽  
Control Method ◽  
Equilibrium Points ◽  
Lyapunov Theory ◽  
Chua’S Circuit ◽  
Control Of Chaos ◽  
Chua's Circuit ◽  
Adaptive Technology ◽  
Feedback Control Method ◽  
And Control

A feedback control method and an adaptive feedback control method are proposed for Chua's circuit chaos system, which is a simple 3D autonomous system. The asymptotical stability is proven with Lyapunov theory for both of the proposed methods, and the system can be dragged to one of its three unstable equilibrium points respectively. Simulation results show that the proposed methods are valid, and control performance is improved through introducing adaptive technology.

EXPERIMENTAL CONTROL OF CHAOS IN CHUA’S CIRCUIT VIA TUNNELS

1994 ◽  
Vol 04 (03) ◽  
pp. 741-750 ◽  
Author(s):  
MAKOTO ITOH ◽  
HIROYUKI MURAKAMI ◽  
LEON O. CHUA
Keyword(s):  
Periodic Orbit ◽  
Experimental Method ◽  
Periodic Orbits ◽  
Chaotic Attractor ◽  
Chua’S Circuit ◽  
Control Of Chaos ◽  
Experimental Control ◽  
Chua's Circuit ◽  
Tunnel Mechanism ◽  
Very High

In this letter, we propose a new experimental method for converting a chaotic attractor in Chua’s circuit to a periodic orbit. A tunnel mechanism is used to achieve this conversion. Using this method, we were able to demonstrate experimentally that periodic orbits of very high periods (e.g., greater than 30) can be robustly stabilized.

SLIDING MODE CONTROL OF CHAOS IN THE CUBIC CHUA'S CIRCUIT SYSTEM

2002 ◽  
Vol 12 (06) ◽  
pp. 1437-1449 ◽  
Author(s):  
MING-JYI JANG ◽  
CHIEH-LI CHEN ◽  
CHA'O-KUANG CHEN
Keyword(s):  
Sliding Mode ◽  
One Dimension ◽  
Sliding Mode Controller ◽  
State Change ◽  
Chua’S Circuit ◽  
Sliding Surface ◽  
Control Of Chaos ◽  
Controlled System ◽  
Chua's Circuit ◽  
Initial States

In this paper, a sliding mode controller is applied to control the cubic Chua's circuit system. The sliding surface of this paper used is one dimension higher than the traditional surface and guarantees its passage through the initial states of the controlled system. Therefore, using the characteristic of this sliding mode we aim to design a controller that can meet the desired specification and use less control energy by comparing with the result in the current existing literature. The results show that the proposed controller can steer Chua's circuit system to the desired state without the chattering phenomenon and abrupt state change.

Generating chaos in Chua's circuit via time-delay feedback

2001 ◽  
Vol 48 (9) ◽  
pp. 1151-1156 ◽  
Author(s):  
Xiao Fan Wang ◽  
Guo-Qun Zhong ◽  
Kit-Sang Tang ◽  
K.F. Man ◽  
Zhi-Feng Liu
Keyword(s):  
Time Delay ◽  
Chua’S Circuit ◽  
Chua's Circuit
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