Question

v 8. 2018 a are permitted to use: 1 letter-sized page of notes, Calculator andBode Plot (logarithmic paper) rURN THIS SHEET WITH YOUR NAME (as in university records) WRITTEN IN THE SPACE Low r Family name/Surname: r First name: Draw complete root locus diagram for a system with the following open loop transfer function: G(s) (s + 4(62 +4s +5) e mathematical expressions for gain and phase as well as draw asymptotic Bode Gain and Phase plots for the following transfer function つ+ 10, 5 10s(s +1 (s + 0.1)2(s +100) You must draw individual as well as composite lines for gain and phase and clearly identify each asymptotic plot and label the axes correctly. Unclear plots will not get any credit. pace below is for grades. Do not write anything. Question 1: Question 2: Score:

Answer 1

Given open loop transfes functi on GIs) --1 No of Poles -3 S--4 Re_ 3 3 angle af asymptodes2+) 3 → Root locus exists on neg ative real aas it start m pole at s-4 and ends at zen at rn neqative real acis. angle of departure at S -2 pole - 41

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giuen G(s)os(s+1o) expresion fov gain Le ( G(jw)) +0.1 phase- Gas)

Given G 1os (s+to ? lhe initial slope o4 the plot glver bz poles andg 2 eros located at origin. G& în Tim e-constat farm too lt 0-1 LO O-1

magnitude pot 0.1 1 L0 loO nodsde 12 Shift20 lo ニ40dB, phase plot _ +90 1lo IbO