﻿ 具有可变系数的三维混沌系统的稳定性控制与电路实现

# 具有可变系数的三维混沌系统的稳定性控制与电路实现Stability Control and Circuit Implementation of a Novel 3D Chaotic System with Variable Coefficient

Abstract: In this paper, an analog circuit implementation of the three-dimensional autonomous chaotic sys-tem with variable coefficient is presented based on the modified module-based approach to chaotic circuit design. The chaotic phase portraits of the circuit are given to illustrate the good qualitative agreement between the numerical simulation and the experimental realization. Then, a linear feedback controller is designed via the Lyapunov stability theory so that the system is no longer chaotic or periodic but globally asymptotically converges to the equilibrium point at the origin. The designed controller is robust to the coefficient change of the nonlinear item. Moreover, after adding the controller circuit to the whole circuit implementation, the rapid change from chaos to convergence can be observed on the oscilloscope.

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