Hopf Bifurcation Control of a Lorenz-Like System Based on Washout Filter Controller
نویسندگان
چکیده
About a three-dimensional autonomous continuous Lorenz-like system. Through the full analysis of equilibrium points, we can derive the parameter condition of Hopf bifurcation; Next we adopt a Washout filter controller designed independently to control the Hopf bifurcation of the system, and the effect of the controller’s parameters on the position of bifurcation point, the bifurcation type, and the amplitude of periodic solution is discussed in detail, and then realizing the control of delaying the Hopf bifurcation, modifying the bifurcation type and the periodic solution’s amplitude. Finally, all the results obtained are verified by numerical simulation.
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