Time domain model reduction by moment matching [Elektronische Ressource] / Rudy Eid

¨ ¨TECHNISCHE UNIVERSITAT MUNCHENLehrstuhl fur¨ RegelungstechnikTime Domain Model Reduction By Moment MatchingRudy EidVollst¨ andiger Abdruck der von der Fakult¨ at fur¨ Maschinenwesender Technischen Universit¨ at Munc¨ hen zur Erlangungdes akademischen Grades einesDoktor-Ingenieursgenehmigten Dissertation.Vorsitzender: Univ.-Prof. Dr.-Ing. habil. Heinz UlbrichPrufer¨ der Dissertation:1. Univ.-Prof. Dr.-Ing. habil. Boris Lohmann2. Univ.-Prof. Dr.-Ing. Peter Eberhard, Universit¨ at StuttgartDie Dissertation wurde am 24.11.2008 bei der Technischen Universit¨ at Munc¨ hen eingere-icht und durch die Fakult¨ at fur¨ Maschinenwesen am 30.01.2009 angenommen.ABSTRACTThis dissertation delivers new results in the model reduction of large-scale linear time-invariant dynamical systems. In particular, it suggests solutions for the well-knownproblem of finding a suitable interpolation point in order reduction by moment matching.As a first step, a new time-domain model order reduction method based on matchingsome of the first Laguerre coefficients of the impulse response is presented. Then, theequivalence between the classical moment matching and the Laguerre-based reductionapproaches both in time- and frequency-domain is shown. In addition, this equivalenceis generalized to include a larger family of coefficients known as generalized Markovparameters.