踝关节动力学的NARMAX表示与识别

NARMAX representation and identification of ankle dynamics.

作者信息

Kukreja Sunil L, Galiana Henrietta L, Kearney Robert E

机构信息

Division of Automatic Control, Department of Electrical Engineering, Linköpings Universitet, SE-581 83 Linköping, Sweden.

出版信息

IEEE Trans Biomed Eng. 2003 Jan;50(1):70-81. doi: 10.1109/TBME.2002.803507.

DOI:10.1109/TBME.2002.803507

PMID:12617526

Abstract

Representation and identification of a parallel pathway description of ankle dynamics as a model of the nonlinear autoregressive, moving average exogenous (NARMAX) class is considered. A nonlinear difference equation describing this ankle model is derived theoretically and shown to be of the NARMAX form. Identification methods for NARMAX models are applied to ankle dynamics and its properties investigated via continuous-time simulations of experimental conditions. Simulation results show that 1) the outputs of the NARMAX model match closely those generated using continuous-time methods and 2) NARMAX identification methods applied to ankle dynamics provide accurate discrete-time parameter estimates. Application of NARMAX identification to experimental human ankle data models with high cross-validation variance accounted for.

摘要

本文考虑了将踝关节动力学的并行路径描述表示并识别为非线性自回归滑动平均外生（NARMAX）类模型的问题。从理论上推导了描述该踝关节模型的非线性差分方程，并证明其为NARMAX形式。将NARMAX模型的识别方法应用于踝关节动力学，并通过实验条件的连续时间模拟研究其特性。仿真结果表明：1）NARMAX模型的输出与使用连续时间方法生成的输出紧密匹配；2）应用于踝关节动力学的NARMAX识别方法提供了准确的离散时间参数估计。NARMAX识别在具有高交叉验证方差的实验性人体踝关节数据模型中的应用也得到了验证。