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控制理论与应用 2009
Chaotic Movement and Its Control of a Three-Dimensional Nonlinear System
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Abstract:
Some basic dynamical properties of a three-dimensional Lorenz-like chaotic system are analyzed by means of numerical value calculation and theoretical deducing. The chaotic behaviors of the chaotic system is studied via numerical simulation, phase diagram, Poincare mapping and power spectrum. A controller of the Lorenz-like system is then constructed to study the forming mechanism of the chaotic attractor by Lyapunov exponent and bifurcation diagram. The chaotic movement of the Lorenz-like system can be well controlled by adjusting the control parameters.