东北大学学报(自然科学版) ›› 2004, Vol. 25 ›› Issue (2): 106-109.DOI: -

• 论著 • 上一篇    下一篇

基于动态设计变量优化算法的非线性模型参数估计

么健石;侯祥林;徐心和   

  1. 东北大学信息科学与工程学院;东北大学信息科学与工程学院;东北大学信息科学与工程学院 辽宁沈阳 110004
  • 收稿日期:2013-06-24 修回日期:2013-06-24 出版日期:2004-02-15 发布日期:2013-06-24
  • 通讯作者: Yao, J.-S.
  • 作者简介:-
  • 基金资助:
    国家高技术研究发展计划资助项目(2001AA422270)

Estimate of non-linear modeling parameters based on optimization algorithm of dynamic design variables

Yao, Jian-Shi (1); Hou, Xiang-Lin (1); Xu, Xin-He (1)   

  1. (1) Sch. of Info. Sci. and Eng., Northeastern Univ., Shenyang 110004, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2004-02-15 Published:2013-06-24
  • Contact: Yao, J.-S.
  • About author:-
  • Supported by:
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摘要: 为消除在传统非线性模型参数估计中由于线性化引起的模型误差,提出了一种基于动态设计变量优化的非线性模型参数估计算法·该算法以每个待估计的参数为设计变量,以与设计变量相关的误差函数为目标函数,并将参数约束条件构造在目标函数中,建立参数估计的最优化问题·针对圆形轨道倒立摆动力学模型进行参数估计,证明该算法具有很高的计算精度和较快的收敛速度,是解决非线性模型参数估计的有效方法之一·

关键词: 动态设计变量, 优化算法, 非线性模型, 参数估计, 圆轨倒立摆

Abstract: To minimize the modeling error arising from linearization in traditional estimate of non-linear modeling parameters, a new algorithm based on the optimization of dynamic design variables is presented. The algorithm takes each parameter to be estimated as a design variable to which the related error function is taken as objective function that is formulated involving the constraint conditions on the parameter, thus changing the parameter estimate into optimization problem. A check is carried out to confirm the performance of the optimization algorithm developed. The successful result through a rotary inverted pendulum has verified its higher convergence speed and computation accuracy. It provides an effective solution to the estimate of non-liner modeling parameters.

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