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基于微分动力学的不稳定流形定理,针对二维离散混沌动力系统,用不稳定流形的函数逼近系统。采取微扰控制方式,得出非线性反馈控制规律,稳定双曲平衡点。与OGY方法相比,增大了控制收敛区域,减少了迭代次数,并以Henon 映射为例验证了所提出方法的有效性。
Based on the unstable manifold theorem of differential dynamics, a two-dimensional discrete chaotic dynamical system is approximated by a function of unstable manifold. Adopting the perturbation control method, the law of nonlinear feedback control and stable hyperbolic equilibrium point are obtained. Compared with the OGY method, the control convergence area is increased and the iteration times are reduced. The effectiveness of the proposed method is verified by taking Henon mapping as an example.