Nonsmooth optimization algorithm for mixed H2/H∞ synthesis

Pierre Apkarian (1) , Dominikus Noll (2) , Aude Rondepierre (2)

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

The mixed H 2 /H ∞ synthesis problem is addressed via nonsmooth mathematical programming. The proposed algorithm is of first order and can handle any controller structure of practical interest. Since computations are carried out in the frequency domain, the method does not suffer dimensional restrictions like LMI or BMI methods. Global convergence is established and several numerical tests are presented.

Mots clés: Mixed H2 /H∞ synthesis; Multi-objective control; Structured controllers design; Nonsmooth optimization

Domaines: Optimisation et contrôle [math.OC]

Pierre Apkarian, Dominikus Noll, Aude Rondepierre. Nonsmooth optimization algorithm for mixed H2/H∞ synthesis. 46th IEEE Conference on Decision and Control, Dec 2007, New Orleans, LA, United States. p. 4110 - 4115, ⟨10.1109/CDC.2007.4434088⟩. ⟨hal-00991307⟩