Quantifying the error of the discrete-time models with forced delay for band-limited measurements

Rishi Relan, Joannes Schoukens

Onderzoeksoutput: Meeting abstract (Book)

Samenvatting

Most real systems and processes are continuous in nature but most of the control strategies are implemented using a digital computer. Therefore a discrete-time representation of the continuous-time system under consideration is required in order to achieve a good performance in control as well as simulation. The discrete-time representation of the continuous time system can be developed under a zero-order hold (ZOH) or band-limited assumption of the inter-sample behavior. In this work, we analyze the additional error that is introduced by forcing the direct term of the discrete-time model equal to zero for the band-limited measurements. Such models are more convenient to simulate nonlinear feedback systems. The presence of a delay removes the nonlinear algebraic loops so that simple recursive simulation becomes possible. Theoretical errors bounds for such kind of approximated models are provided in the case of band-limited signals. furthermore the results are validated experimentally.This analysis is important because the design of an identification experiment based on band-limited assumption is often more realistic, easier and appropriate to realize during identification of a complex nonlinear system as compared to the zero-order hold (ZOH) assumption.
Originele taal-2English
TitelPresentation of poster at ERNSI 2014, European Research Network on System Identification, Oostende, Belgium, September 21-24, 2014
StatusPublished - 21 sep. 2014
EvenementERNSI 2014 - Thermae Palace Hotel, Ostend, Belgium
Duur: 21 sep. 201424 sep. 2014

Workshop

WorkshopERNSI 2014
Periode21/09/1424/09/14
AnderModelling of dynamical systems is fundamental in almost all disciplines of science and engineering, ranging from life science to plant-wide process control. Engineering uses models for the design and analysis of complex technical systems. System identification concerns the construction, estimation and validation of mathematical models of dynamical physical or engineering phenomena from experimental data. This is the 23rd version of the European Workshop on System Identification, the first one being held in Saint-Malo in 1992. All through these years the workshop has maintained the scope of bringing together European researchers in the area of System Identification, in an informal setting that gives ample opportunities for participants to meet. The workshop program is composed of lectures from invited speakers, lectures from members of the ERNSI community, and poster presentations by -particularly- the PhD students and postdocs that are active in the network.

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