Non-smooth optimization for robust control of infinite-dimensional systems

Optimisation non-lisse pour la commande robuste de systèmes de dimension infinie

Pierre Apkarian (1) , Dominikus Noll (2) , Laleh Hosseini-Ravanbod (2)

1 ONERA - The French Aerospace Lab [Toulouse]
2 IMT - Institut de Mathématiques de Toulouse UMR5219

We use a non-smooth trust-region method for H ∞-control of infinite-dimensional systems. Our method applies in particular to distributed and boundary control of partial differential equations. It is computationally attractive as it avoids the use of system reduction or identification. For illustration the method is applied to control a reaction-convection-diffusion system, a Van de Vusse reactor, and to a cavity flow control problem.

Mots clés: INFINITE-DIMENSIONAL SYSTEM; ROBUST CONTROL; NON-SMOOTH TRUST-REGION METHOD; NON-SMOOTH OPTIMIZATION

Mots clés: COMMANDE ROBUSTE OPTIMISATION NON-LISSE SYSTEMES DE DIMENSION INFINIE

Domaines: Mathématiques [math]; Optimisation et contrôle [math.OC]

Pierre Apkarian, Dominikus Noll, Laleh Hosseini-Ravanbod. Non-smooth optimization for robust control of infinite-dimensional systems. Set-Valued and Variational Analysis, 2016, ⟨10.1007/s11228-017-0453-4⟩. ⟨hal-01868438⟩