引用本文:吴旭光,范江鹏.一类非线性系统的时标分解和反馈线性化[J].控制理论与应用,1994,11(5):588~593.[点击复制]
WU Xunguang and FAN Jiangpeng.Time Scale Decomposition and Feedback Linearization of a Class of Nonlinear Systems[J].Control Theory and Technology,1994,11(5):588~593.[点击复制]
一类非线性系统的时标分解和反馈线性化
Time Scale Decomposition and Feedback Linearization of a Class of Nonlinear Systems
摘要点击 930  全文点击 460  投稿时间：1992-12-28  修订日期：1993-12-20
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DOI编号  
  1994,11(5):588-593
中文关键词  微分几何  奇异摄动  线性化  鱼雷运动方程
英文关键词  differential geometry  singular perturbation  linearization
基金项目  
作者单位
吴旭光,范江鹏 西北工业大学航海工程学院 
中文摘要
      在过去的十几年，已经证明基于微分几何理论的精确线性化是一种有效的非线性系统分析与设计方法，但是当这种方法应用在高阶非线性系统时，会出现Kroneeker指数较大。本文提出一种建立在奇异摄动和反馈线性化相结合的方法可较好地应用于具有双时标性质的高阶非线性系统。并将其成功地应用在鱼雷纵平面非线性运动方程。
英文摘要
      In the last decade, the exact linearization via differential geometry has been proved to be an effective method of analysis and design of nonlinear systems. But the Kroneeker Indexes will become large when nonlinear transformation is used in high order systems. This paper presents a method based on the combination of singular perturbation and external linearization. It can be used for the global linearization of high order nonlinear systems with two-time scale. This method has been used successfully for treating the torpedo longitudinal dynamic system.