Model reduction by matching the steady-state response of explicit signal generators

© 2015 IEEE.Model reduction by moment matching for interpolation signals which do not have an implicit model, i.e., they do not satisfy a differential equation, is considered. Particular attention is devoted to discontinuous, possibly periodic, signals. The notion of moment is reformulated using an integral matrix equation. It is shown that, under specific conditions, the new definition and the one based on the Sylvester equation are equivalent. New parameterized families of models achieving moment matching are given. The results are illustrated by means of a numerical example

A note on the electrical equivalent of the moment theory

In this short note the relation between the moments of a linear system and the phasors of an electric circuit is discussed. We show that the phasors are a special case of moments and we prove that the components of the solution of a Sylvester equation are the phasors of the currents of the system. We point out several directions in which the phasor theory can be extended using recent generalizations of the moment theory, which can benefit the analysis of circuits and power electronics

Nonlinear control of feedforward systems with bounded signals

Published versio

A geometric characterization of feedforward forms

Published versio

Moments at "discontinuous signals" with applications: model reduction for hybrid systems and phasor transform for switching circuits

We provide an overview of the theory and applications of the notion of moment at “discontinuous interpolation signals”, i.e. the moments of a system for input signals that do not satisfy a differential equation. After introducing the theoretical framework, which makes use of an integral matrix equation in place of a Sylvester equation, we discuss some applications: the model reduction problem for linear systems at discontinuous signals, the model reduction problem for hybrid systems and the discontinuous phasor transform for the analysis of circuits powered by discontinuous sources

Guest Artist Recital: Jeri-Mae G. Astolfi, piano

Kennesaw State University School of Music presents Guest Artist Recital: Jeri-Mae G. Astolfi, piano.https://digitalcommons.kennesaw.edu/musicprograms/1624/thumbnail.jp

Model reduction for nonlinear systems and nonlinear time-delay systems from input/output data

© 2015 IEEE.An algorithm for the estimation of the moments of nonlinear systems and nonlinear time-delay systems from input/output data is proposed. The estimate is exploited to construct a family of reduced order models. The use of the technique is illustrated by a few examples based on the averaged model of the DC-to-DC Cuk converter

Moment-based discontinuous phasor transform and its application to the steady-state analysis of inverters and wireless power transfer systems

Power electronic devices are inherently discontinuous systems. Square waves, produced by interconnected transistors, are commonly used to control inverters. This paper proposes a novel phasor transform, based on the theory of moments, which allows to analyze the steady-state behavior of discontinuous power electronic devices in closed-form, i.e. without approximations. In the first part of the paper it is shown that the phasors of an electric circuit are the moments on the imaginary axis of the linear system describing the circuit. Exploiting this observation, in the second part of the paper, we focus on the analysis of circuits powered by discontinuous sources. The new “discontinuous phasor transform” is defined and the v-i characteristics for inductors, capacitors and resistors are described in terms of this new phasor transform. Since the new quantities maintain their physical meaning, the instantaneous power and average power can be computed in the phasor domain. The analytic potential of the new tool is illustrated studying the steady-state response of power inverters and of wireless power transfer systems with non-ideal switches