Parametric robust structured control design

Pierre Apkarian (1) , Minh Dao (2) , Dominikus Noll (3)

1 ONERA - The French Aerospace Lab [Toulouse]
2 ECE - Department of Electrical and Computer Engineering [Johns Hopkins University]
3 IMT - Institut de Mathématiques de Toulouse UMR5219

We present a new approach to parametric robust controller design, where we compute controllers of arbitrary order and structure which minimize the worst-case H∞ norm over a pre-specified set of uncertain parameters. At the core of our method is a nonsmooth minimization method tailored to functions which are semi-infinite minima of smooth functions. A rich test bench and a more detailed example illustrate the potential of the technique, which can deal with complex problems involving multiple possibly repeated uncertain parameters.

Mots clés: Real uncertain parameters; structured H∞-; synthesis; parametric robust control; nonsmooth optimization; local optimality; inner approximation

Domaines: Optimisation et contrôle [math.OC]

Pierre Apkarian, Minh Dao, Dominikus Noll. Parametric robust structured control design. IEEE Transactions on Automatic Control, 2015, 60 (7), pp.1857-1869. ⟨10.1109/TAC.2015.2396644⟩. ⟨hal-01868400⟩