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Unformatted text preview: EML4312: Spring 2011 Test 2 Name—Ke¥____—_——__
Instructions. T 115 is a closedbook, closed notes exam. 1. (25 points ) Consider the following block diagram Block diagram. __ 2
_ s(s+3) GP Using the MC / AC, design a Lead Compensator so that a closed—loop pole is —5 + 5j. For the degree
of design freedom, place a zero at s = —5.  lie; ZZeros i‘polcs r 3/30 4 8+5 ~zs—z$+3 —A$+b} =i/3O
sz'SJST Ag: a. 1—9:? « z a+{'5 ’ zb—$+$7 70°  4u5'[=—D ~— Jm;'(:%>  47;]323 =+IZO
qoC—A/q» («M933 — 4mm"(.D—§§.§ :HYSO E 3 5 .—
Fs' ' 43 /S}u( Meal] (7‘ \ 2. (25 points )Design a PD controller to place a closed—loop pole to yield a percent overshoot of 9.5% and
a settling time of 1.3 sec to reach a tolerance of 2% of the ﬁnal value. Note that 100
_ (57f
P.O. r m (fawn We. 0 . 03 ll H wéﬂ )
j“ (ac/5'» —' ﬁ /6 VF???) e"'(’w“(“37 «902 4,3 = .. gum/['33 ,th: 3. cl
“2 5.
(F31 : §(I.333 [2:1 ® 3. (25 points) For the block diagram in question 1, let G’p be redeﬁned as
l G = —.——
p (s+1)(s+2)(s+4)
Where GC is deﬁned as ( >
s + 3
Ge _ (s + 5)'
Modify the controller so that it yields a steady state error of 0.101 for a step input. For the degree of
design freedom, place a zero at s = —O.1.
Rl 9  l a
E (S\ : (’2 ($7 ’ {S
l + a? c. c 5+ 0(5), zY :4 q\(sh’3 I .
r _L M
£55: ‘: lislgos(s\ '+_£§i§}_——————"" gfd l ¢—
l+ “"3 5
HZWMYﬂcl
A
O 0: I : 'Jgié’
1+ '3 LIOJ+.3
403 $+ ’1. $7 X/o's ,atg Comlyngalzr: $+.l . 4. (25 points) Design a controller that gives a closed—loop pole location of s = —3 — 3j for the following
transfer function. Q
K ﬁzzy COC'C'FlC‘ICn‘l Wovlclthz : Db: [s +3+3’S>(5 +3, 333 AA: ($+D[S+S3+Q¥ =
iz:s’+a\< \k: ...
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This note was uploaded on 09/05/2011 for the course EML 4312 taught by Professor Dixon during the Spring '07 term at University of Florida.
 Spring '07
 Dixon

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