Sensitivity analysis and model order reduction for random linear dynamical systems

R. Pulch, E.J.W. Maten, ter, F. Augustin

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

17 Citaten (Scopus)

Samenvatting

We consider linear dynamical systems defined by differential algebraic equations. The associated input–output behaviour is given by a transfer function in the frequency domain. Physical parameters of the dynamical system are replaced by random variables to quantify uncertainties. We analyse the sensitivity of the transfer function with respect to the random variables. Total sensitivity coefficients are computed by a nonintrusive and by an intrusive method based on the expansions in series of the polynomial chaos. In addition, a reduction of the state space is applied in the intrusive method. Due to the sensitivities, we perform a model order reduction within the random space by changing unessential random variables back to constants. The error of this reduction is analysed. We present numerical simulations of a test example modelling a linear electric network. Keywords: Linear dynamical systems; Differential algebraic equations; Sensitivity analysis; Model order reduction; Polynomial chaos
Originele taal-2Engels
Pagina's (van-tot)80-95
Aantal pagina's16
TijdschriftMathematics and Computers in Simulation
Volume111
DOI's
StatusGepubliceerd - 2015

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