Powered by OpenAIRE graph
Found an issue? Give us feedback
addClaim

Anti-causal identification of Hammerstein models

Authors: Heike Vallery; Maximilian Neumaier; Martin Buss;

Anti-causal identification of Hammerstein models

Abstract

Muscle response to Functional Electrical Stimulation (FES) is frequently modeled in Hammerstein form, which consists of a static nonlinearity followed by a linear transfer function. To identify these dynamics, mainly forward approaches are used. The advantage, provided that the nonlinearity and the dynamics are linear in the parameters, is that a simple least-squares solution can be found. For model-based control with input-output linearization, the inverse nonlinearity is needed. Depending on the parameterization, the identified forward nonlinearity is not necessarily invertible. Furthermore, muscle recruitment is generally of saturation characteristic, complicating a linear parameterization with a low number of parameters. In this paper, a reverse identification is performed, changing the structure to Wiener type. The number of parameters can be very low, exploiting the fact that an inverted saturation characteristic is approximated well by a simple third-order polynomial. The algorithm is tested to model FES response of human quadriceps and hamstrings, and it is compared to forward identification approaches with diverse basis functions, and to linear identification. When inverted again, estimation performance of the reversely identified model is comparable to that obtained by forward identification.

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    1
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Upload OA version
Are you the author of this publication? Upload your Open Access version to Zenodo!
It’s fast and easy, just two clicks!