Dab tsi yog S sau hauv Laplace hloov pauv?
Dab tsi yog S sau hauv Laplace hloov pauv?

Video: Dab tsi yog S sau hauv Laplace hloov pauv?

Video: Dab tsi yog S sau hauv Laplace hloov pauv?
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Hauv kev ua lej thiab engineering, s-plane yog lub dav hlau complex uas Laplace hloov pauv tau kos duab. Nws yog tus lej zauv qhov twg, tsis yog saib cov txheej txheem hauv sij hawm sau ua qauv nrog lub sijhawm ua haujlwm, lawv raug saib raws li qhov sib npaug hauv qhov zaus.

Yog li ntawd, dab tsi yog S domain?

S sau yog sau yam tsis poob ntawm cov ntaub ntawv ntawm cov cim pib, nws yog qhov dav dav ntawm cov qauv siv zog. Hloov sijhawm sau rau s domain nrog laplace hloov rau cov teeb liab txuas ntxiv.

Ib yam li ntawd, qhov kev txheeb xyuas qhov sau npe yog dab tsi? Los ntawm John Santiago. Circuit Court tsom xam cov txheej txheem hauv s - sau yog qhov muaj zog vim tias koj tuaj yeem kho lub Circuit Court uas muaj qhov hluav taws xob thiab cov cim tam sim no hloov pauv nrog lub sijhawm zoo li nws yog qhov tiv thaiv-tsuas yog Circuit Court. Qhov ntawd txhais tau tias koj tuaj yeem ua tau txheeb xyuas Circuit Court algebraically, tsis tas yuav cuam tshuam nrog cov khoom sib xyaw thiab cov txiaj ntsig.

Hauv txoj kev no, S yog dab tsi hauv Laplace hloov pauv?

Cov Laplace hloov pauv ntawm kev ua haujlwm f (t), txhais rau txhua tus lej tiag t ≧ 0, yog txoj haujlwm F ( s ), uas yog unilateral hloov txhais los ntawm. qhov twg s yog ib tug complex naj npawb zaus parameter., nrog cov lej tiag σ thiab ω. Lwm cov ntaub ntawv hais txog Cov Laplace hloov pauv suav nrog L {f}, lossis hloov L {f (t)} hloov dua li F.

Dab tsi yog Laplace thim rov qab ntawm 1?

Hloov Laplace Hloov pauv ntawm 1 yog Dirac delta muaj nuj nqi, δ (t) tseem hu ua Unit Impulse Function. Nws yog geometrically pom tseeb tias raws li → → 0 qhov siab ntawm thaj tsam duab plaub ntxoov ntxoo nce mus tas li thiab qhov dav qis dua nyob rau hauv xws li txoj kev uas cheeb tsam ib txwm sib npaug rau 1 , i.e.

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