Reduced order optimal control of infinite dimensional port Hamiltonian systems

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TitreReduced order optimal control of infinite dimensional port Hamiltonian systems
Type de publicationConference Paper
Year of Publication2019
AuteursWu Y, Hamroun B, Le Gorrec Y, Maschke B
Conference Name2019 AMERICAN CONTROL CONFERENCE (ACC)
PublisherAmer Automat Control Council; Int Federat Automat Control; Mitsubishi Elect Res Lab; Boeing; GE Res; United Technologies Res Ctr; General Motors Co; MathWorks; Halliburton; dSPACE; Int Journal Automat Comp; Altair; Soc Ind Appl Math; Wiley; Quanser; Templ
Conference Location345 E 47TH ST, NEW YORK, NY 10017 USA
ISBN Number978-1-5386-7926-5
Résumé

This paper deals with the reduced order controller design for infinite dimensional port Hamiltonian systems (IDPHS). Firstly, a structure preserving and passive LQG control design equivalent to Control by Interconnection is proposed. Based on this LQG controller, a structure preserving reduction method is used to approximate both the closed loop IDPHS and the LQG controller. This closed loop reduction guarantees that the reduced order controller will ensure acceptable closed loop performances on the infinite dimensional system. The proposed methods is applied to the control of a vibro-acoustic system.