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Modélisation, simulation, génération de code et correction de systèmes multi-physiques audios: Approche par réseau de composants et formulation Hamiltonienne à Ports

Antoine Falaize 1
1 Analyse et synthèse sonores [Paris]
STMS - Sciences et Technologies de la Musique et du Son
Abstract : The class of audio systems includes traditional musical instruments (percussion, string, wind, brass, voice) and electro-acoustic systems (guitar amplifiers, analog audio processing, synthesizers). These multi-physical systems have a common property: out of excitation sources (generators), they are all passive. We present a set of automatic methods dedicated to their modeling, simulation and control, which explicitly guarantee and exploit the passivity of the original system. This class of systems is that of port-Hamiltonian systems (PHS), introduced in system theory in the early 1990s. Regarding the models, we exploit the fact that the interconnection of systems described in this formalism explicitly preserves the dynamics of total dissipated power. This enabled the development of an automated method that builds models of complete instruments based on a dictionary of elementary models. Regarding the simulations, we developed a numerical method that preserves the passive structure of PHS in discrete-time domain. This ensures the stability of simulations (for which the C++ code is automatically generated). Regarding the control, we exploit the interconnection structure to automatically build an input-to-output decoupled form for a class of PHS. Systems of this class are flat, within the meaning of the differential flatness approach. A formula that yields the (open loop) control law for these systems is provided.
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https://hal.archives-ouvertes.fr/tel-01440597
Contributor : Antoine Falaize <>
Submitted on : Thursday, January 19, 2017 - 1:35:00 PM
Last modification on : Thursday, March 21, 2019 - 1:04:59 PM
Document(s) archivé(s) le : Thursday, April 20, 2017 - 1:32:16 PM

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  • HAL Id : tel-01440597, version 1

Citation

Antoine Falaize. Modélisation, simulation, génération de code et correction de systèmes multi-physiques audios: Approche par réseau de composants et formulation Hamiltonienne à Ports. Systèmes dynamiques [math.DS]. Université Pierre & Marie Curie - Paris 6, 2016. Français. ⟨tel-01440597⟩

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