Closed Loop l_1 Scaling for Fixed-point Digital Control Implementation

M. Steinbuch, G. Schootstra, H.T. Goh, O.H. Bosgra

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review


In fixed-point implementation of digital controllers, the effects of quantisation can be reduced by proper scaling of the controller parameters. Commonly, controllers are scaled using l/sub 1/ norm based calculations, i.e. determining the worst case impulse response of the controller. However, this is only possible if the controller is asymptotically stable. If this is not the case, a solution is to calculate the scaling transformation on the basis of the closed-loop impulse responses. From the experience with actual implementation on a Compact Disc system, frequency weighting reflecting the disturbance spectrum has to be applied as well in order to obtain good experimental results.
Original languageEnglish
Title of host publicationProc. 1994 American Control Conference
Place of PublicationUnited States, .
Publication statusPublished - 1994


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