Optimal Control of Nonsmooth Dynamical Systems using Measure Relaxations - Université Toulouse 1 Capitole
Communication Dans Un Congrès Année : 2024

Optimal Control of Nonsmooth Dynamical Systems using Measure Relaxations

Résumé

We address the problem of optimal control of a nonsmooth dynamical system described by an evolution variational inequality. We consider both the discrete-time and continuous-time versions of the problem and we relax the problem in the space of measures. We show that there is no gap between the original finite-dimensional problem and the relaxed problem. We show the convergence of the relaxed discrete-time optimal control in measures to continuous-time optimal control in measures. This paves the way to a sound implementation of the moment sum-of-squares hierarchy to solve numerically the optimal control of nonsmooth dynamical systems.
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Dates et versions

hal-04701838 , version 1 (18-09-2024)

Identifiants

  • HAL Id : hal-04701838 , version 1

Citer

Saroj Prasad Chhatoi, Aneel Tanwani, Didier Henrion. Optimal Control of Nonsmooth Dynamical Systems using Measure Relaxations. IEEE Conference on Decision and Control, IEEE, Dec 2024, Milan (Italie), Italy. ⟨hal-04701838⟩
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