对象族可镇定半径的计算

刘世岳;伍清河

兵工学报 ›› 2003, Vol. 24 ›› Issue (2) : 242-245.

兵工学报 ›› 2003, Vol. 24 ›› Issue (2) : 242-245. DOI: 10.3969/j.issn.1000-1093.2003.02.024
短文

对象族可镇定半径的计算

  • 刘世岳,伍清河
作者信息 +

The Calculation of Stabilizable Radius of Plants Family

  • Liu Shiyue, Wu Qinghe
Author information +
文章历史 +

摘要

本文采用优化方法把计算对象族的可镇定半径问题转化成优化问题。2范数定义下的可镇定半径采用了Lagrange乘子法求解;无穷范数意义下的可镇定半径采用了最小范数解方法求解。本文方法对可镇定半径的定义形式和不确定参数结构没有要求,因此更具有一般性。

Abstract

The optimization method is adopted to convert the calculation problem of stabilizable radius of the plant family into an optimization problem. At the same time, the method does not have any restriction to definition forms of stabilizable radius and to uncertaintily parameter constructions. Hence, the method proposed in this paper has generality.

关键词

自动控制技术 / 对象族 / 可镇定半径 / Lagrange乘子

Key words

automatic control / plant family / stabilizable radius / lagrange multiplier

引用本文

导出引用
刘世岳,伍清河. 对象族可镇定半径的计算. 兵工学报. 2003, 24(2): 242-245 https://doi.org/10.3969/j.issn.1000-1093.2003.02.024
Liu Shiyue, Wu Qinghe. The Calculation of Stabilizable Radius of Plants Family. Acta Armamentarii. 2003, 24(2): 242-245 https://doi.org/10.3969/j.issn.1000-1093.2003.02.024

基金

国家自然科学基金资助项目(69904003);高等学校博士学科点专项科研基金资助项目

参考文献

[1] Barmish B R. New Tools for Robustness of Linear Systems. New York: Macmillan Publishing Company, 1994.19?39
[2] Barmish B R,Ortega R. On the radius of stabilizability of LTI sys?tems: Application to projection implementation in indirect adaptive control. International Journal of Adaptive and Signal Processing, 1991,(5): 251 ?258 ?
[3] Wu Qinghe, Mansour M. Robust stability analysis of control sys?tems with parameter uncertainties: an eigenvalue approach. In:Hol- Iot C V. Proc of 14th Congress of IFAC( International Federation of Aulomatic Control). Beijing PR China. 1999,(G) : 49?54

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