Skip to Main content Skip to Navigation
Journal articles

Geometric optimal techniques to control the muscular force response to functional electrical stimulation using a non-isometric force-fatigue model

Abstract : A recent force-fatigue parameterized mathematical model, based on the seminal contributions of V. Hill to describe muscular activity, allows to predict the muscular force response to external electrical stimulation (FES) and it opens the road to optimize the FES-input to maximize the force response to a pulse train, to track a reference force while minimizing the fatigue for a sequence of pulse trains or to follow a reference joint angle trajectory to produce motion in the non-isometric case. In this article, we introduce the geometric frame to analyze the dynamics and we present Pontryagin types necessary optimality conditions adapted to digital controls, used in the experiments, vs permanent control and which fits in the optimal sampled-data control frame. This leads to Hamiltonian differential variational inequalities, which can be numerically implemented vs direct optimization schemes.
Document type :
Journal articles
Complete list of metadata

Cited literature [32 references]  Display  Hide  Download

https://hal.inria.fr/hal-02611095
Contributor : Jérémy Rouot <>
Submitted on : Tuesday, September 1, 2020 - 11:45:10 AM
Last modification on : Thursday, March 18, 2021 - 12:23:25 PM

File

noniso2020.pdf
Files produced by the author(s)

Identifiers

Citation

Bernard Bonnard, Jérémy Rouot. Geometric optimal techniques to control the muscular force response to functional electrical stimulation using a non-isometric force-fatigue model. Journal of Geometric Mechanics, American Institute of Mathematical Sciences (AIMS), 2020, ⟨10.3934/jgm.2020032⟩. ⟨hal-02611095v2⟩

Share

Metrics

Record views

411

Files downloads

432