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控制与本质非线性问题
引用本文:黄琳,耿志勇,王金枝,段志生,杨莹.控制与本质非线性问题[J].自动化学报,2007,33(10):1009-1013.
作者姓名:黄琳  耿志勇  王金枝  段志生  杨莹
作者单位:1.北京大学工学院力学与空天技术系湍流与复杂系统国家重点实验室 北京 100871
摘    要:回顾了控制理论的发展, 并讨论了线性系统、单平衡位置系统的本质特征. 重点介绍了多平衡点非线性系统的本质非线性特征, 复杂多彩的动态特性, 包括自振、混沌、同宿轨、异宿轨, 特别是讨论了高阶系统的复杂性. 进一步讨论了控制介入到本质非线性系统后可能的发展前景与挑战.

关 键 词:本质非线性    多平衡点    总体性质
收稿时间:2006-11-10
修稿时间:2006-11-10

Problems in Control and Intrinsic Nonlinearities
HUANG Lin,GENG Zhi-Yong,WANG Jin-Zhi,DUAN Zhi-Sheng,YANG Ying.Problems in Control and Intrinsic Nonlinearities[J].Acta Automatica Sinica,2007,33(10):1009-1013.
Authors:HUANG Lin  GENG Zhi-Yong  WANG Jin-Zhi  DUAN Zhi-Sheng  YANG Ying
Affiliation:1.State Key Laboratory for Turbulence and Complex Systems,Department of Mechanics and Aerospace Technology, College ofEngineering, Peking University, Beijing 100871
Abstract:This paper reviews the development of control theory and the characteristics of linear systems and systems with unique equilibrium.Intrinsic nonlinear characteristics and complex dynamical behaviors are discussed for nonlinear systems with multiple equilibria,including self-oscillation,chaos,homoclinic orbit and heteroclinic orbit,especially for higher order systems,Further,challenges and opportunities are discussed when control is involved with intrinsic nonlinear characteristics.
Keywords:Intrinsic nonlinearity  multiple equilibria  global properties
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