Optimal identification of delay-diffusive operators and application to the acoustic impedance of absorbent materials

Céline Casenave (1) , Gérard Montseny (1)

1 LAAS-MRS

We present an original method devoted to the optimal identification of a wide class of complex linear operators involving some delay components, based on suitable infinitedimensional state formulations of diffusive type. Thanks to the intrinsic properties of these state formulations, cheap and precise numerical approximations are straightforwardly obtained, leading to approximate quadratic problems of reasonable dimension. We then propose this method for identification of the acoustic impedance of absorbent materials designed for noise reduction of aircraft motors

Mots clés: optimal identification; diffusive operators; diffusive representation; acoustic impedance; absorbent wall

Domaines: Automatique / Robotique; Optimisation et contrôle [math.OC]; Acoustique [physics.class-ph]; Acoustique [physics.class-ph]

Céline Casenave, Gérard Montseny. Optimal identification of delay-diffusive operators and application to the acoustic impedance of absorbent materials. 7th IFAC Worshop on Time delay Systems (IFAC TDS 2007), Sep 2007, Nantes, France. ⟨hal-01061527⟩