Identification of a Hammerstein Model of the Stretch Reflex EMG using Cubic Splines

Abstract

The use of cubic splines instead of polynomials in representing static nonlinearities in block structured models is considered. A system identification algorithm for the Hammerstein structure a static nonlinearity followed by a linear filter is developed in which the static nonlinearity is represented by a cubic spline. The identification algorithm based on a separable least squares Levenberg-Marquardt optimization is used to identify a Hammerstein model of the stretch reflex EMG recorded from a spinal cord injured patient. The resulting model provides more accurate predictions of the reflex EMG, even in novel data than more conventional models which use polynomial representations of the nonlinearity. Furthermore the spline based optimization appears to be less sensitive to its initialization than a similar polynomial-based approach.

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Document Details

Document Type
Technical Report
Publication Date
Oct 25, 2001
Accession Number
ADA409942

Entities

People

  • David T. Westwick
  • Erika J. Dempsey

Organizations

  • University of Calgary

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Actuators
  • Algorithms
  • Coefficients
  • Data Analysis
  • Deflection
  • Experimental Data
  • Half-Wave Rectifiers
  • Hydraulic Actuators
  • Identification
  • Linear Systems
  • Nonlinear Systems
  • Optimization
  • Polynomials
  • Spinal Cord
  • Training
  • Validation

Fields of Study

  • Engineering

Readers

  • Approximation Theory.
  • Linear Algebra
  • Neurotrauma and Rehabilitation Medicine.