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Numerical Control: Performance Analysis and Implementation Issues
KTH, School of Electrical Engineering (EES), Automatic Control.
2012 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

In this thesis, a digitalization method with nite word-length (resolu-



) of a given stable analog controller guaranteeing the minimum

dierence in terms of frequency responses is treated. The challenge

has consisted in nding a relevant frequency responses mismatch met-

ric and in relating it to the word niteness issue. The analog con-

troller is represented in modal state-space form and digitalized with

a stability-maintaining approximation (ramp invariance) for dierent

sampling periods. It results in digital controllers with block diago-

nal transition matrices whose coecients (poles) are inside the unit

circle. The format is chosen to match the poles dynamical range.

The matrix is then coded and the mismatch measure allows for the

selection of the "best" poles coded controllers. The remaining ma-

trices are then scaled and coded for these selected controllers. The

measure is computed for each of them. The procedure nally gives

the "optimal" coded controller. This algorithm is shown to perform

well and better that a simple rounding after the analog controller

discretization phase.


Place, publisher, year, edition, pages
2012. , 91 p.
EES Examensarbete / Master Thesis, XR-EE-RT 2012:022
National Category
Control Engineering
URN: urn:nbn:se:kth:diva-101797OAI: diva2:549508
Educational program
Master of Science - Aerospace Engineering
Available from: 2012-09-05 Created: 2012-09-04 Last updated: 2012-09-05Bibliographically approved

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