NONLINEAR FEEDBACK FOR CONTROLLING THE LORENZ EQUATION

被引：21

作者：

ALVAREZRAMIREZ, J

机构：

[1] Division de Ciencias Basicas e Ingeniería, Universidad Autonoma Metropolitana-Iztapalapa, 09000 México Distrito Federal

来源：

PHYSICAL REVIEW E | 1994年 / 50卷 / 03期

关键词：

D O I：

10.1103/PhysRevE.50.2339

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

This work presents a nonlinear feedback approach for controlling the Lorenz equation. The derivation of the feedback is based on linearizing an input-output dynamic of the system, which leads to large regions of asymptotic stability. Here the input signal to the Lorenz equation is the applied heat via the Rayleigh number. The performance of the nonlinear feedback is tested via the stabilization of equilibrium points and periodic orbits.

引用

页码：2339 / 2342

页数：4

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