Summary: | 碩士 === 中原大學 === 電機工程研究所 === 83 === In the thesis, the theoretical analysis and computer simula-
tions of controlling chaos in Chua's circuit is studied by the
method of nonfeedback control. The method of nonfeedback
control makes use of coupling an asymptotically stable linear
circuit to the original chaotic Chua's circuit to obtain the
desired periodic motions instead of the chaotic ones. Two cases
with different parameters in the coupling linear circuit will
be proposed and analyzed via numerical simulations. In case 1,
the resonant frequency of the coupling linear circuit is close
to that of the original Chua's circuit. However, in case 2, the
resonant frequency of the coupling linear circuit is apart from
that of the original Chua's circuit. The research of effects of
resonant frequencies in the coupling circuit is studied for the
first time in this thesis. The simulation results show that:
(1) Both of the two cases are available for appling to Chua's
circuit to convert the chaotic double scroll to the periodic
motions in some regions of a variable parameter. (2) Case 2
possesses more phenomena than those of case 1 as the variable
parameter is varied. (3) The design of nonfeedback control
offers an effective way of con- trolling chaos without changing
the structure of the original Chua's circuit. (4) The unstable
fixed points of the controlled system can be stabilized to be
stable ones.
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