Optimal control under action duration constraint for non-convex dynamics - Département MathNum
Communication Dans Un Congrès Année : 2024

Optimal control under action duration constraint for non-convex dynamics

Résumé

The motivation of this paper stems from a family of optimal control problems wherein the control’s active duration is constrained within a predefined limit. The duration constraint can be perceived as an additional variable in the dynamics, and the relaxation of the naturally associated control problem is equivalent to a an L1-constraint. The paper provides a generalization of a preliminary work by the authors to encompass scenarios with non-convex dynamics. The relaxed problems are formulated through Linear Programming techniques and their qualitative properties, alongside the interrelations between different formulations, are investigated.
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Dates et versions

hal-04663534 , version 1 (28-07-2024)

Identifiants

  • HAL Id : hal-04663534 , version 1

Citer

Dan Goreac, Alain Rapaport. Optimal control under action duration constraint for non-convex dynamics. 63rd IEEE Conference on Decision and Control (CDC 2024), IEEE Control Systems Society, Dec 2024, Milan, Italy. ⟨hal-04663534⟩
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