Webinar

Abstract:

Structure-Preserving Linear Quadratic Gaussian Balanced Truncation for Port-Hamiltonian Systems

Linear quadratic Gaussian (LQG) control design for port-Hamiltonian systems is studied. A recently proposed method from the literature is reviewed and modified such that the resulting controllers have a port-Hamiltonian (pH) realization. Based on this new modification, a reduced-order controller is obtained by truncation of a balanced system.

The approach is shown to be closely related to classical LQG balanced truncation and shares a similar a priori errori bound with respect to the gap metric. With regard to this error bound, a theoretically optimal pH-representation is derived. Consequences for pH-preserving balanced truncation model reduction are discussed and shown to yield two different classical Hinfinity-error bounds. If time permits, modifications for the case of descriptor systems will be presented.