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

Toufik Bakir | Zendy; Bernard Bonnard | Zendy; Jérémy Rouot | Zendy

Open Access

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

Author(s) -

Toufik Bakir,

Bernard Bonnard,

Jérémy Rouot

Publication year - 2019

Publication title -

networks and heterogeneous media

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.732

H-Index - 34

eISSN - 1556-181X

pISSN - 1556-1801

DOI - 10.3934/nhm.2019005

Subject(s) - control theory (sociology) , observer (physics) , frame (networking) , computer science , state (computer science) , model predictive control , control (management) , optimal control , mathematics , algorithm , mathematical optimization , physics , artificial intelligence , telecommunications , quantum mechanics

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.

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