Reduced Order LQG Control Design for Infinite Dimensional Port Hamiltonian Systems

This article proposes a method that combines linear quadratic Gaussian (LQG) control design and structure preserving model reduction for the reduced order of infinite dimensional port Hamiltonian systems (IDPHS).For purpose weighting operators used in LQG are chosen such resulting dynamic controller is passive closed-loop system equivalent to by interconnection. The Petrov-Galerkin then approximate balanced realization IDPHS finite provide associated controller. main advantages proposed that, first, both driven performances second, due passivity properties stability guaranteed when applied system.