Controlling Chaos by Bounded Self-Controlling Function Using Butterworth Filter Feedback
2014 ◽
Vol 541-542
◽
pp. 1216-1221
Keyword(s):
Low Pass
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Using the bounded sigmoid function and two-order Butterworth low-pass filter, a self-controlling feedback method for regulate the motion of a chaotic system is presented in this paper. It is shown that such controller has the advantage of being easy to implement based on the measurable input signals. A rigorous stability proof is provided from LaSalle Invariance theorem. Furthermore, the effectiveness and efficiency of the proposed feedback control strategy is illustrated by means of the numerical simulations of two-well Duffing Vander Pol oscillator. Finally, the result reveals that the enough large maximum amplitude results in a more possible regular domain in parameter space of the controlled oscillator.
2011 ◽
Vol 131
(10)
◽
pp. 1260-1261
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Keyword(s):
2017 ◽
Vol E100.C
(10)
◽
pp. 858-865
◽
Keyword(s):