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Homework3SolutionPart2

Homework3SolutionPart2 - 3 ELCT 331 —Homework No In the I...

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Unformatted text preview: 3 ELCT 331 —Homework No In the I In problem 2, the slope will be ~20dB/dec when w<2 and —60 dB/dec when m>2 scanned version that I uploaded on Wednesday of last week, it has it as w<1 and m>1. 2. Please correct this. Problem 2.8a page 94 3. ) l l‘ l f Ga:2000* (s-l—0.5) / (5* (5+10) * [s+50)) s=t help window p gesktu Lnsert Tools flew Edit Elle {:3 :w u /- .0 k. 3 _ l. +\. 53 muzmcmm E “Hall” Hill...qu 1 I IIHHJIHIH an“: mmmcn. 'i I] Frequency (realism) 4. Problem 2.8b page 94 ‘l tf( ’ Gb=25/ (5* (5+2. 5*s“2+lO)) S 2).4 EGN.“ rr.\ uncd gd.l .lor fbg } Figure 2 Help W o d m W B View insert Tools Deskto File guilt _ SE magnum: awe mafia Frequency (radisec) 5. Problem 2.283 page 136 —So|ution provided on Wednesday Problem 4.4 — fig 4P—4 a - page 225 7. Problem 4.1 4 —- fig 49-14 a - page 229 8. Probiem 4.25fig la page 235 6. 0 8 4 e g a p) 7.... 3.“. 8W m f mt b: o r PS 9 25* (5+1); 8* (3+2) * (s"2+2*s+l6); num den mum/den margin(G) G: .1 Figure 2 Eile Edit flew insert 10015 Qasktop window flelp _: jag Rs- * [HE @ Bode Diagram i'é (D ‘5’ .1: I: 3‘ 5 Phase (dag) Frequency (ractfsec) 10. Problem 8.44 Page 482 s = tf('s‘) %using pade cammand for PADE approximation of exponential term num_G_a= pade((80*exp(-O.1*s)),2); den_G_a=s*(s+4)*(s+10); G_a=num_G_a/den_G_a; CL__a = Gna/(1+G_a) OL_a = G_a*1; %(a) figurefl) nyquist(OL_a) %(b) and (c) figure(2); margin(CL_a) a. Nyquist Plot 3 Figure 1 tile _E_dit Igiievsl insert Ionls gesktnfi window flelp .1de4 % fi‘-.i"?'[email protected]‘£*fi‘i DE 7’@ quu'rs’l magma '”_F"‘—_‘—T—____— ‘7— “#‘—V fi‘fii'—' “'T—‘_"'— " b & c: Bode Plot and Phase and Gain margins J Figute 2 Eile Eda: mew insert Innis Qasktop window Help J;dis L}: “"""@‘~u.g*:'v 51.1353] “WEE Bade Diagram Gm = 6.3 as (a! 4.02 radisec) , Pm -= 42.6 deg (at 2.9 radrsec) at} [n “1” fi_ _ ,__.__.,_Y-_-. .7 . .......w._v_...._...,..,. .. Fume-gt”. 1 wv g a.) .3 % E . Phase (deg) I L] Frequency (radisez) Note: All the problems are from the textbook. Show all steps. 1?..452 K 33%82. X:— m 2-"______ 1"— .)(‘2’ 2 M2 (I ) M; +133 “4 X3 cV/ "‘ a. )(3 2 (E, “l: 6A3 OI“ a '1 5/2’ 9» ‘~ V,--~V2~% Am —~ v, :"1 If} V. -v, — Y, Mix-92. av, Qz‘y25%"(/). "VI "(711 ‘ I; C94 4225 ‘5 x . 1:, L2. 3 Y i _ ,= W “L ham») (1, MT: ('2 $11 f I“ v w r 6;” V 0&4 % oéjmwfc Ayah; “v A/i& vmnfle :_ Yeti“) «f— Z—r + V6, WCD C Li 2 Van 1.76:”“J‘023r izfl©x . L .._ LL‘ 6,613} I; [I ~ 1‘; Pg) 1* "I t; m [L2- L2c9:_(‘_: _: VC' "WI/C; ((9 C dirt-z , (/5, 90’ 123+FL. VmLF : KL“ . VG: fi—Hfl. "If RL>2K , 1w : Veg. Lap/462 khan/3W A CD @ L, ,5 7,03) :: DC; as)- Y1;(d) “VG/A) (g) (’mVC/xs) : 59/4) ,- fan}; (9 L125 121/45) 2 V2,. w vii-2.64) C?) 02/15 vi; [0) _. 12/24) - «PE'L/A) (3) £411 . 2 I , L; «2 Wm + mm + Z ’30) 3 gamma/n)th 1‘ - V c2.. E4/C7L, gar/MJT'fi‘KZ (9 7a; 95; 42; éfimjgv‘ K1 9/ ¢---"""'__—- 115% A) ...
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