Damage-tolerant active control using a modal H∞-norm-based methodology

Helói F.G Genari (1, 2) , Nazih Mechbal (2) , Gérard Coffignal (2) , Eurípedes G.O Nobrega (1)

1 UNICAMP - Universidade Estadual de Campinas = University of Campinas
2 PIMM - Laboratoire Procédés et Ingénierie en Mécanique et Matériaux

A new approach for vibration reduction of flexible structures subject to damage is here proposed, based on modal H∞H∞-norm control. Considering that structural damage provokes different effects on each vibration mode, the proposed method concentrates the control action on modes that are indeed suffering the worst damage consequences. For this purpose, a new modal H∞H∞ norm is introduced, weighing each mode according to control design convenience. Based on this norm, a regular H∞H∞ controller design is applied, using the linear matrix inequality approach. Simulated and experimental results show significant advantages of the proposed methodology over the regular H∞H∞ approach, including damage tolerance.

Mots clés: H∞ control; Active vibration control; Damage-tolerant active control; Modal H∞ norm; Modal H∞ control

Domaines: Mécanique des structures [physics.class-ph]; Vibrations [physics.class-ph]; Automatique / Robotique

Helói F.G Genari, Nazih Mechbal, Gérard Coffignal, Eurípedes G.O Nobrega. Damage-tolerant active control using a modal H∞-norm-based methodology. Control Engineering Practice, 2017, 60, pp.76-86. ⟨10.1016/j.conengprac.2016.10.018⟩. ⟨hal-01493852⟩