Structured Robust Control Against Mixed Uncertainty

Raquel Stella da Silva de Aguiar (1) , Pierre Apkarian (1) , Dominikus Noll (2)

1 DTIS, ONERA, Université de Toulouse [Toulouse]
2 IMT - Institut de Mathématiques de Toulouse UMR5219

We present new approaches to designing structured controllers, which are robust in the presence of mixed real parametric and complex dynamic uncertainty. As the synthesis of such controllers is inherently NP-hard, we discuss inner and outer relaxation techniques, which make this problem amenable to computations. Our relaxation methods are positively evaluated and compared on the basis of a rich test set and for a challenging missile pilot design problem.

Mots clés: µ-SYNTHESIS; DYNAMIC UNCERTAINTY; MIXED UNCERTAINTY; NONSMOOTH OPTIMIZATION NP-HARD PROBLEM; PARAMETRIC UNCERTAINTY; STRUCTURED CONTROLLER

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

Raquel Stella da Silva de Aguiar, Pierre Apkarian, Dominikus Noll. Structured Robust Control Against Mixed Uncertainty. IEEE Transactions on Control Systems Technology, 2018, 26 (5), pp.1771 - 1781. ⟨10.1109/TCST.2017.2723864⟩. ⟨hal-01868483⟩