Global Optimization of H ∞ problems: Application to robust control synthesis under structural constraints

Dominique Monnet (1, 2) , Jordan Ninin (1, 2) , Benoit Clement (2, 1)

1 Lab-STICC_ENSTAB_CID_IHSEV ; OSM
2 STIC - Département STIC [Brest]

In this paper, a new technique to compute a synthesis structured Robust Control Law is developed. This technique is based on global optimization methods using a Branch-and-Bound algorithm. The original problem is reformulated as a min/max problem with non-convex constraint. Our approach uses interval arithmetic to compute bounds and accelerate the convergence.

Domaines: Recherche opérationnelle [math.OC]; Optimisation et contrôle [math.OC]

Dominique Monnet, Jordan Ninin, Benoit Clement. Global Optimization of H ∞ problems: Application to robust control synthesis under structural constraints. MACIS, Nov 2015, Berlin, Germany. ⟨hal-01236171⟩