Section: New Results

Optimal sampled-control with applications to Muscular Control

Participants : Bernard Bonnard, Toufik Bakir [L2I, Univ. de Bourgogne Franche Conté] , Jérémy Rouot.

The study was initialized two years ago under the impulse of Toufik Bakir (LE2I-UBFC). Based on preliminary experimental studies, the chosen model to muscular control integrates the fatigue variables and is known as Ding et al force-fatigue model in the literature. It is a refinement of the historical Hill model (Medecine Nobel Prize 1922). Preliminary results lead to construct a nonlinear observer and the optimized pulses trains are computed using MPC methods [15]. More recently in collaboration with L. Bourdin (Limoges), optimal control techniques were introduced in the framework of sampled-control problems. Pontryagin type necessary conditions were obtained with preliminary numerical simulations. On these topics, paper [23] has been submitted to JOTA, October 2018; [3] is accepted for publication in Networks and Heterogeneous Media, 2018.