Moments of Nonlinear Systems: From Model Reduction to Identification and Circuits Theory – Alessandro Astolfi, Imperial College London

January 30, 2020 @ 2:00 pm – 3:00 pm
Cambridge University Engineering Department
Seminar Room JDB
Alberto Padoan

The notion of moment for linear systems is generalized to nonlinear, possibly time-delay, systems and to general classes of signal generators (i.e. interpolation points). It is shown that this notion provides a powerful tool for the solution of model reduction problems, for the identification of reduced order model from input-output data and for the analysis of power electronic circuits. In particular, it is shown that moments yield a generalization of the so-called phasor transform to circuits with power electronics components.