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 ImViA - Imagerie et Vision Artificielle [Dijon]
2 IMB - Institut de Mathématiques de Bourgogne [Dijon]
3 McTAO - Mathematics for Control, Transport and Applications
4 EPF [Troyes]

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; Non-linear observer; Optimization of sampled-data control; Model predictive control

Domains: Optimization and Control [math.OC]

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, 2019, 14 (1), pp.79-100. ⟨10.3934/nhm.2019005⟩. ⟨hal-01779349v2⟩