Reduced order optimal control of infinite dimensional port Hamiltonian systems

International audienceThis paper deals with the reduced order controllerdesign for infinite dimensional port Hamiltonian systems(IDPHS). Firstly, a structure preserving and passive LQG controldesign equivalent to Control by Interconnection is proposed.Based on this LQG controller, a structure preserving reductionmethod is used to approximate both the closed loop IDPHS andthe LQG controller. This closed loop reduction guarantees thatthe reduced order controller will ensure acceptable closed loopperformances on the infinite dimensional system. The proposedmethods is applied to the control of a vibro-acoustic system