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UID:pretalx-juliacon-2026-YQXSKZ@pretalx.com
DTSTART;TZID=CET:20260812T161500
DTEND;TZID=CET:20260812T163000
DESCRIPTION:In this talk we will present how DyadModelOptimizer is solving 
 free final time problems using ModelingToolkit\, BoundaryValueDiffEq and O
 ptimizationMadNLP\, showing the full julia stack that powers the Dyad anal
 yses. Specifically we examine the solution in the context of minimum lap t
 ime optimization for a race car. The solution assumes a continuous lap opt
 imizing throttle and braking under dynamical constraints.  We formulate t
 he problem as a nonlinear optimal control problem with free terminal time\
 , where the objective is to minimize total lap time subject to coupled veh
 icle dynamics\, tire force limits\, and path constraints along a prescribe
 d track centerline. The vehicle model captures longitudinal and lateral dy
 namics\, load transfer effects\, and tire saturation through nonlinear alg
 ebraic relationships\, resulting in a differential-algebraic system expres
 sed symbolically. The talk walks through the entire process end to end: bu
 ilding the symbolic model\, converting it into a boundary value formulatio
 n\, choosing a discretization strategy\, assembling the nonlinear program\
 , and configuring the solver. We will also share practical lessons on mesh
  refinement\, scaling for numerical stability\, and what solve times and c
 onvergence actually look like in practice.
DTSTAMP:20260502T104551Z
LOCATION:Room 6
SUMMARY:Optimizing race car track times in Dyad - Sebastian Micluța-Câmpe
 anu\, Rajeev Voleti
URL:https://pretalx.com/juliacon-2026/talk/YQXSKZ/
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