文献类型：期刊文献

中文题名：碰摩转子映射系统的非线性反馈混沌控制

英文题名：NONLINEAR FEEDBACK CONTROL OF CHAOS IN RUB-IMPACT ROTOR MAPPING SYSTEMS

作者：梁海花[1];郑伟峰[2]

机构：[1]广东海洋大学理学院数学系,湛江524088;[2]广东海洋大学工程学院机械系,湛江524088

年份：2007

卷号：5

期号：1

起止页码：30

中文期刊名：动力学与控制学报

外文期刊名：Journal of Dynamics and Control

收录：CSTPCD、、Scopus

语种：中文

中文关键词：转子系统;碰摩;擦边;混沌控制;非线性反馈控制;单碰周期运动;数值模拟

外文关键词：rotor system, rub-impact, grazing, control of chaos, impact periodic motion, numerical simulation nonlinear feedback control, single

中文摘要：采用不连续穿越映射技术,Jeffcott碰摩转子系统的映射在擦边碰撞附近可以近似为在一个方向上有平方根伸缩的四维映射,本文对此映射的动力学行为进行了研究,而且发现了有大量的混沌现象存在.采用非线性反馈混沌控制方法,通过选取合适的控制增益参数,可将碰摩转子映射系统的混沌运动控制到有规则的擦边周期1轨道和单点碰摩周期2轨道.数值模拟证实了分析结果.

外文摘要：Adopting the method of discontinuity bypass mapping, the Poincare mapping of Jeffcott model near a grazing orbit was estimated as a four-dimensional mapping with square-root compressing or stretching at one direction, from which many chaos motions were found by researching the mapping. The nonlinear feedback chaos control method was adopted for the four-dimensional piecewise-smooth rub-impact rotor mapping systems＇. The rub-impact motions were stabilized into the grazing period-1 motion or single rub-impact period-2 motion by choosing the gain of control properly. The numerical simulation verified the analysis.