A case study of optimal input-output system with sampled-data control: Ding et al. force and fatigue muscular control model

Toufik Bakir; Bernard Bonnard; Jérémy Rouot

A case study of optimal input-output system with sampled-data control: Ding et al. force and fatigue muscular control model

Toufik Bakir ¹ Bernard Bonnard ^{2, 3} Jérémy Rouot ^{4, *}

* Corresponding author

1 ImVia - Imagerie et Vision Artificielle [Dijon]

2 IMB - Institut de Mathématiques de Bourgogne [Dijon]

3 McTAO - Mathematics for Control, Transport and Applications

CRISAM - Inria Sophia Antipolis - Méditerranée

4 EPF [Troyes]

Abstract : The objective of this article is to make the analysis of the muscular force response to optimize electrical pulses train using Ding et al. force-fatigue model. A geometric analysis of the dynamics is provided and very preliminary results are presented in the frame of optimal control using a simplified input-output model. In parallel, to take into account the physical constraints of the problem, partial state observation and input restrictions, an optimized pulses train is computed with a model predictive control, where a non-linear observer is used to estimate the state-variables.

Keywords : Muscular force and fatigue model Optimization of sampled-data control Model predictive control Non-linear observer

Document type :

Journal articles

Domain :

Mathematics [math] / Optimization and Control [math.OC]

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https://hal.inria.fr/hal-01779349
Contributor : Jérémy Rouot <>
Submitted on : Thursday, April 26, 2018 - 4:58:46 PM
Last modification on : Thursday, October 10, 2019 - 1:29:07 AM

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A case study of optimal input-output system with sampled-data control: Ding et al. force and fatigue muscular control model

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