基于增强响应灵敏度法的多体系统参数识别

Parametric identification of multibody system based on enhanced response sensitivity method

在多体系统的模型建立、优化设计、测试诊断等过程中,准确地识别系统参数是非常必要的。通过增强响应灵敏度法对多体系统的参数进行了精准识别。该文章主要包含三部分:首先利用传统增广法结合Baumgarte约束违约修正来求解多体系统的响应;然后对于多体系统的参数识别问题,则将其建模为一个非线性最小二乘优化问题,并采用增强响应灵敏度法进行求解;最后通过数值算例来验证算法的有效性。算例表明,该文章提出的正问题计算方法获得的系统响应可以和MapleSim仿真结果完全吻合,且增强响应灵敏度法也能准确识别系统的参数。此外,该文章所提的参数识别方法还有良好的抗噪性能。

In processes of modeling,optimization design,testing and diagnosis of multi-body system,it is very necessary to accurately identify system parameters.Here,parameters of multi-body system were accurately identified by using the enhanced response sensitivity method.This study included 3 parts.Firstly,response of multibody system was solved by using the traditional augmentation method combined with Baumgarte constraint-default-correction.Then,the parametric identification problem of multibody system was modeled as a nonlinear least square optimization problem,and the enhanced response sensitivity method was used to solve it.Finally,numerical examples were given to verify the effectiveness of the proposed algorithm.Numerical examples showed that multibody system response obtained with the forward problem calculation method proposed here can be completely consistent with MapleSim simulation results;the enhanced response sensitivity method can accurately identify system parameters;this parametric identification method also has good anti-noise performance.