H2 Near-Optimal Projection Methods for Finite-Horizon Model Order Reduction

Umair Zulfiqar

Research output: ThesisDoctoral Thesis

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Abstract

This thesis investigates the H2-optimal model order reduction problem within finite time and frequency intervals. Several oblique projection-based algorithms are proposed that construct near-optimal reduced-order models in a computationally efficient way. The deviations in the optimality conditions decay quickly as the order of reduced models is increased. A class of proposed algorithms has interesting properties like stability preservation, monotonic decay in error, and pole placement. The algorithms proposed in the thesis are effective design tools in reduced-order controller design, reduced-order filter design, and fast power system simulation.
Original languageEnglish
QualificationDoctor of Philosophy
Awarding Institution
  • The University of Western Australia
Supervisors/Advisors
  • Sreeram, Victor, Supervisor
  • Ahmad, Mian Ilyas, Supervisor, External person
  • Boussaid, Farid, Supervisor
  • Du, Xin, Supervisor, External person
Thesis sponsors
Award date26 Jun 2021
DOIs
Publication statusUnpublished - 2021

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