ROBUST EIGENSTRUCTURE CLUSTERING BY NONSMOOTH OPTIMIZATION

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

1 IMT - Institut de Mathématiques de Toulouse UMR5219
2 HNUE - Hanoi National University of Education
3 ONERA - The French Aerospace Lab [Toulouse]

We extend classical eigenstructure assignment to more realistic problems where additional performance and robustness specifications arise. Our aim is to combine time-domain constraints, as reflected by pole location and eigenvector structure, with frequency-domain objectives such as the H 2 , H ∞ or Hankel norms. Using pole clustering, we allow poles to move in polydisks of prescribed size around their nominal values, driven by optimization. Eigenelements, that is poles and eigenvectors, are allowed to move simultaneously and serve as decision variables in a specialized nonsmooth optimization technique. Two aerospace applications illustrate the power of the new method.

Mots clés: modal shaping; non-smooth optimisation; frequency-domain; robust design; structured feedback control; eigenstructure assignment

Domaines: Optimisation et contrôle [math.OC]

Minh Ngoc Dao, Dominikus Noll, Pierre Apkarian. ROBUST EIGENSTRUCTURE CLUSTERING BY NONSMOOTH OPTIMIZATION. International Journal of Control, 2015, 88 (8), pp.1441-1455. ⟨10.1080/00207179.2015.1007393⟩. ⟨hal-01868410⟩