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控制理论与应用 2004
Applying first-order differential of state variable as feedbackto realize chaos control of Chua''s Circuit
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Abstract:
A method of controlling chaos and bifurcation on Chua's circuit is proposed,in which only a single variable differential feedback is used.A theoretical analysis gave the range of value of control parameter k_1 to stabilize the unstable fixed points in Chua's circuit and its critical value k_0 for generating Hopf bifurcation.The range of values of k_1 to stabilize a certain nP periodic orbit in Chua's circuit was then obtained through the bifurcation diagram.The periodic orbits could be stabilized with appropriate k_1. Then based on this chaos control method,a schematic circuit was designed for controlling Chua's circuit.Numerical and circuit simulations validated this method of controlling chaos and bifurcation on Chua's circuit.