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
1 UB - Université de Bourgogne
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 : Non-linear observer Model predictive control Optimization of sampled-data control Muscular force and fatigue model
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Submitted on : Thursday, April 26, 2018 - 4:58:46 PM
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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. Networks and Heterogeneous Media, AIMS-American Institute of Mathematical Sciences, 2019, 14 (1), pp.79-100. ⟨10.3934/nhm.2019005⟩. ⟨hal-01779349v2⟩

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