%0 Journal Article %T Finite Dimensional Approximation to Muscular Response in Force-Fatigue Dynamics using Functional Electrical Stimulation %+ Imagerie et Vision Artificielle [Dijon] (ImViA) %+ Mathematics for Control, Transport and Applications (McTAO) %+ Institut de Mathématiques de Bourgogne [Dijon] (IMB) %+ Laboratoire de Mathématiques de Bretagne Atlantique (LMBA) %A Bakir, Toufik %A Bonnard, Bernard %A Gayrard, Sandrine %A Rouot, Jérémy %< avec comité de lecture %@ 0005-1098 %J Automatica %I Elsevier %8 2022-10 %D 2022 %Z 2103.07316 %R 10.1016/j.automatica.2022.110464 %K Sampled-data control %K Nonlinear input-output approximation %K Force-fatigue models %K Biomechanics %K Predictive-correction methods in optimization %K Sampled-data control problem %Z Mathematics [math]/Optimization and Control [math.OC]Journal articles %X Recent dynamical models, based on the seminal work of V. Hill, allow to predict the muscular response to functional electrostimulation (FES), in the isometric and non-isometric cases. The physical controls are modeled as Dirac pulses and lead to a sampled-data control system, sampling corresponding to times of the stimulation, where the output is the muscular force response. Such a dynamics is suitable to compute optimized controls aiming to produce a constant force or force strengthening, but is complex for real time applications. The objective of this article is to construct a finite dimensional approximation of this response to provide fast optimizing schemes, in particular for the design of a smart electrostimulator for muscularreinforcement or rehabilitation. It is an on-going industrial project based on force-fatigue models, validated by experiments.Moreover it opens the road to application of optimal control to track a reference trajectory in the joint angular variable to produce movement in the non-isometric models. %G English %2 https://inria.hal.science/hal-03154450v3/document %2 https://inria.hal.science/hal-03154450v3/file/smart_electrosti.pdf %L hal-03154450 %U https://inria.hal.science/hal-03154450 %~ UNIV-BREST %~ UNIV-BOURGOGNE %~ CNRS %~ INRIA %~ UNIV-UBS %~ INRIA-SOPHIA %~ MATHBREST %~ INSMI %~ INRIASO %~ INRIA_TEST %~ IMB_UMR5584 %~ LMBA %~ TESTALAIN1 %~ UBS %~ CHL %~ INRIA2 %~ TDS-MACS %~ UNIV-COTEDAZUR %~ IBNM %~ IMVIA %~ CORES