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Unformatted text preview: EE3530 Midterm ll
(Friday, April 18, 2008)
1. (Spts) A feedback control system is shown below. rlti e(t) 2 a. Find the values of K1 and K2 so that Kv=10 and $0.5;
3 b. Estimate the percentage overshoot, peak time, and settling time (2% tolerance). i t r
2. (7pts) Consider the following feedback system. a. (2pts) Find the condition on Kiand i<p so that the system is stable; b. (2pts) Determine the system type and find KV (with respect to reference input);
c. (lpt) Find the steady state error e(m) when r(t)=t (ramp); d. (lpt) Find the steady state response y(°°) when r(t)=0 and wit)=1(t). e. (lpt) Find the steady state response y(°o) if r(t)=t), wit):t. 3. (3pts) Now suppose that the controller in problem 2 is implemented as follows: a. (2pt) Determine the system type and find KV (with respect to reference input);
b. (lpt) Find the steady state error e(oo) when r(t)=t (ramp); €aLqum
[o
G 2 .m__. __ 1O __ {O l f [0 KLS 5 (5+I)+IOK2,S 5(511 + (ML)
SLLM) K;G‘ ’OKI {0 K“ : .____—————._=_—————*————*=
T H K, C; SC£+I+IOJ<LDHOKI 5% madam{mg K 7—.
w:=[OKI_ 220014 2 i+t0’!<:»~ => (zéwﬁj : Ll+l0 2,). SIOK\ [0K1
s(_.<.+1+l0K»)— I+10K2_ Kv=WSKI€T *—"9/4 5% 6 sac m 2. L
L2§ng=U+wKLBl r) LZXD'§> Cu“ 2. (Pi[0K1] :. L" :2 7T :2 7r 1 ,3éa’7g
W Uﬂﬁv (0m [U535 8“ a? G : SCSH) = L a {O
i l01<r scum—Hm H L :0
+ Su—H) r S+§+ KP
L a” KL 6‘ d” I0 S SCél+S+LOKfj L u. 221.36: : §3+873H0Kw5+luki
53 .L. (OK?
5”“ 1 (0K;
5 IOKrIOKL
‘5 iOKL 2 ® 47P€i .Wzﬁosu”:%
1 932° 1. = K?
® ) —,ZU‘ K;
I ® yszmg‘ﬂ—Wu) 1L.— Was)
I+L SB+S?:F{UK?STIOKC
7..
‘ S
wmwm L90 2  s '0 ~L'
. EL ) 5:; ya) 5450 S’iaﬁwlﬁrsmkg ’:—~O \ way!“ y—m S‘  p‘—« {OLSL ’1‘
yca) = ﬂ” " Jimmoﬁmom” s—‘vo 5*” ...
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 Fall '07
 Chen
 0k, 0 K, steady state response

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