Reguleringsteknikk vha MathScript
Reguleringsteknikk vha MathScript
Reguleringsteknikk vha MathScript
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Innholdsfortegnelse<br />
Innholdsfortegnelse ................................................................................................................... ii<br />
<strong>MathScript</strong> .................................................................................................................................. 6<br />
Tips & Triks ............................................................................................................................. 7<br />
<strong>Reguleringsteknikk</strong> ................................................................................................................... 10<br />
Regulator .............................................................................................................................. 10<br />
PID Algoritme ................................................................................................................... 11<br />
I/O (DAQ) enhet ................................................................................................................... 11<br />
Transferfunksjoner ................................................................................................................... 13<br />
<strong>MathScript</strong> ............................................................................................................................ 13<br />
Differensiallikninger ............................................................................................................. 15<br />
Sprangrespons ...................................................................................................................... 17<br />
Sluttverditeoremet ............................................................................................................... 21<br />
1.ordens systemer .................................................................................................................... 22<br />
Sprangrespons ...................................................................................................................... 22<br />
<strong>MathScript</strong> ............................................................................................................................ 23<br />
1.ordens system med tidsforsinkelse ................................................................................... 24<br />
<strong>MathScript</strong> ............................................................................................................................ 24<br />
2.ordens systemer .................................................................................................................... 26<br />
Response Time ..................................................................................................................... 26<br />
<strong>MathScript</strong> ............................................................................................................................ 26<br />
Sprangrespons og stabilitet .................................................................................................. 27<br />
Poler ..................................................................................................................................... 27<br />
Spesialtilfelle ........................................................................................................................ 28<br />
ii
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