Basic-Programme Zur Regelungstechnik: Stabilitätsuntersuchung Von Regelkreisen Und Fahrkurvensimulation Mit Dem Sirius
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Im schulischen Bereich und in der Projektierung von Industrie- anlagen werden in zunehmendem Ma e Personal-Computer (PCs) zur L�sung von Aufgaben der Regeltechnik eingesetzt. In diesem Beitrag werden zwei BASIC-Programme (MS-BASIC) vorge- stellt, die sich besonders zur Optimierung linearer, einschlei- figer Regelkreise eignen, bei denen die Parameter der Regel- strecke bekannt sind. Die Programme sind f�r den Sirius-Rechner geschrieben, da er mit 400 x 800 Bildpunkten eine sehr gute Aufl�sung bietet. De- finiert man die zu Anfang der Programme aufgef�hrten Graphik- Befehle auf einen anderen Rechner bezogen, so sind sie dort auch lauff�hig. Vergleichbare Ver�ffentlichungen sind von /1/, /2/ und /3/ erschienen. Vorteil des PC-Einsatzes ist die anschauliche Darstellung von Parameter-Einfl�ssen auf die Regelung mit Hilfe der Bildschirm- Graphik. So wird eine optimale Einstellung des Reglers auf die Regelstrecke m�glich. Die hier zugrunde liegende Stabilit�tsbetrachtung geht von dem vereinfachten Stabilit�ts-Kriterium nach Nyquist /4/ aus. Es kann vom Anwender als Nyquist- oder Bode-Diagramm in hochauf- l�sender Graphik ausgewertet werden. Die Anwendung der Programme als komplette Diskette /5/ erfordert keine besonderen Programmier-Kenntnisse, da der Systemstart und das Laden aller Routinen (GRAFIX; MS-BASIC ..- ) automatisch er- folgt. Alle Ergebnisse lassen sich auf den �blichen Speichermedien ab- legen bzw. plotten oder ausdrucken. 2 Stabilit�tsuntersuchung 2 Stabilit�t nach Nyquist Ein einschleifiger Regelkreis stellt eine Wirkungskette von Regler und Regelstrecke mit R�ckkopplung dar. Er ist folglich auf Stabilit�t zu untersuchen. Das allgemein bekannte vereinfachte Stabilit�ts-Kriterium nach NYQuist liefert f�r die meisten technischrealisierbaren linea- ren Regelungen eine hinreichende Stabilit�ts-Bedingung.
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