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应用科学学报 ›› 2000, Vol. 18 ›› Issue (1): 35-38.

• 论文 • 上一篇    下一篇

一类执行机构和模型均含不确定性的非线性系统的镇定

史小平, 张为平, 王子才   

  1. 哈尔滨工业大学仿真中心, 黑龙江哈尔滨 150001
  • 收稿日期:1998-10-03 修回日期:1999-01-14 出版日期:2000-03-31 发布日期:2000-03-31
  • 作者简介:史小平(1965-),男,浙江宁波人,副研究员,博士.
  • 基金资助:
    国防科技预研任务资助项目(46.1.2)

Stabilization of a Class of Nonlinear Systems with Uncertainty Both in Their Executors and in Their Models

SHI Xiao-ping, ZHANG Wei-ping, WANG Zi-cai   

  1. Simulation Centre, Harbin Polytechnic University, Harbin 150001, China
  • Received:1998-10-03 Revised:1999-01-14 Online:2000-03-31 Published:2000-03-31

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摘要： 运用非线性系统的精确线性化方法,将一类执行机构动态特性及模型本身都带有不确定性的仿射非线性系统变换成间接型的带不确定参数的鲁里叶系统,从而解决了这类系统的镇定问题.其主要意义在于将鲁里叶理论推广到了非线性情形及参数不确定情形.

关键词: 镇定, 精确线性化, 变参数鲁里叶系统, 不确定非线性系统

Abstract: By applying the exact linearization method, this paper studies the stabilization problem of a class of nonlinear systems with uncertainty both in their executors and in their models. First, the original affine nonlinear system is transformed into Lurie's indirect system with uncertain parameter, Lurie's method is then used to deal with the stabilization problem. In this paper, Lurie's theory is made available in case of nonlinearity and uncertainty of parameters.

Key words: exact linearization, stabilization, uncertain nonlinear system, parameter variable Lurie'e system

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