CHEN 4601 Study Guide - Midterm Guide: Plat, Tral, Surge Tank
9 Dec 2015
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Frequency response: ultimate response of system forced by sinusoidal input; for linear system forced by forcing function u (t)=asin( t ) ; omega = radian frequency, output = turn off integral part, wait till it comes closer to desired value, then turn integral back on; if p is not satisfactory, try pi. Amplitude ratio (ar) = |g ( j )|=modulusof g( j ) and = g ( j )=tan 1( b and =tan 1 ( t ) ; if z = a + bi, |z|= a2+b2 can break transfer function into product of simpler transfer functions; ar = product of ar of each transfer functions and phi = sum of each component phi. Bode diagrams: log(ar) vs log(omega) and phi (in degrees) vs. log(omega) Zero in lhp vs. rhp: same ar, but for lhp, get positive phase contribution (subtracts from lag), for rhp, get negative phase contribution (adds to lag)
