HW7Sol

HW7Sol - LA: inj 4- mgbg Lil '7' 1' E‘, "I...

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Locus Heal Axis EOLUWIUpn Imaginary Axis System: sys Gain: 6.16 Pole: -3 Damping: 1 _ Overshool PA): 0 Frequency (rad/sec): 3 .* Problem 1d SOLUT10N - Root Locus System: sys Gain: 7 Pole: -1.45 Damping: 1 Overshoot (“/u): 0 FrequenCy (rad/sec): 1.45 - Syslem: sys _ Gain:7.01 Pole: 41552 Damping: 1 Overshoot (%): O Fraquency (rad/sec): 0.552 _ _ _ _ ‘ Heal Axis ' Sysiem: sys Imaginary Axis Problem 1d SOLUTION - Root Locus System: sys Gain: 10 P019: -0.584 + 0.331i Damplng: 0.37 Overshoot (are): 0.394 Frequency (rad/sec): 0.671 Galn: 6.16 Pole: -3 Damping: 1 Overshool (“/o): 0 Frequency (radisec): 3 é SysIem: sys Gain: 10 Pole: -0.585 - 0.33i Damping: 0.871 Overshool ($43)! 0.385 Frequency (radfseck 0.672 Problem 1d SOLUTION - Flool Locus V Sysfenw: sys - Gain: 30.1 1 25:3??? Pole: -o.1a4 + 0.3m Pole" -3' Damping: 0.505 .9 Dam'ping' 1 Overshool (as): 15.9 36 Overshool (94,): 0 Frequency (rag/sec); 0.353 ‘E; 0 Frequency (rad/gee): 3 I I I I I ‘ ’ I I I a ; a . E . Gain: 30.1 Poie: «0.183 - 0313i Damping: 0.50.5 ‘ Dvershool 1%): 15.9 Frequency (rad/sec): D1363 Heal Axis Amplitude Problem 1d SOLUTION - Siep Responses to Various Deriviafive Gains Time (sec) fa,- G’l' \ '. ‘I- u {IN-3 ‘9 me C“? SQNXQI Wfl‘itblfl Nafi 09 Amfig 4008) U {51> HOW» Q69 acres“; 1915+ {J'LCLC 0Q: Pan/H- ME 3&4 Hmrworli 7 EQLUTfoN f méra gw'r-‘k 049%- fa'mfg .11) mqu [TD 19% 9.5165296? 04’: (PG—Milt; 3. 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Amplitude 0.025 0.02 0.015 0.01 0.005 Human/or H)": U 170?} Problem 3 - Step Responses Generated By Response Equation and step Commend Time (sec) 0.1% fl! i'Jiflrv’kaflFlé W 231'}; LLH T {E- l {7‘ H N:\Personal\AAE 367 TA\SpringO4\HW7Sole3.m Page 1 March 29, 2004 8:58:46 PM %AAE 365 %Homework 7 SOLUTION %Problem 3 clear all; close all; %Generate time vector t = linspaoet0,3,1000); %find response at each time yt = —O.2115.*t.*exp(—4.*t)-0.0026.*exp(*4.*t)+(-0.005970.0296i).*exp{t.*(—2+3i))... +(-0.0059+0.0296i).*exp(t.*(-2u3i))+0.0144; %plot step response plot(t,yt,'r') hold on %define transfer function GS = tf([1 2 3],[1 12 61 168 208]); %plot step reSponse step(Gs) title('Problem 3 — Step Responses Generated By Response Equation and step Command') ...
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This note was uploaded on 01/23/2012 for the course EE 4580 taught by Professor Gu during the Fall '10 term at LSU.

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HW7Sol - LA: inj 4- mgbg Lil '7' 1' E‘, "I...

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