{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Midterm_F09_2

# Midterm_F09_2 - Midterm 2 for EE3530 Fall 2009 Figure 1...

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Midterm 2 for EE3530 Fall 2009 Figure 1: Feedback System I. (7pts) In Figure 1 above, let e(t) :2 r(t) — y(t) K(s+5) 10 T’ We 0(3) 2 (a) (4pts) Find the range of K > 0 so that the system is stable; (b) (1pt) Let K : 2. Find the steady state error e(t) when -r(t) = t and d(t) = D; (c) {1pt) Let K = 2. Find the steady state error e(t) when 7'05) 2 0 and d(t) = 1(t); (d) (lpt) Let K : 2. Find the steady state error e(t) when r(t) : O and d(t) : sin 2t. 2. (4pts) In Figure 1, let 10 :s(s~1)' 13(5) Find a first order stabilizing controller 0(5) = GUS +111 P03 + P: such that the closed-loop poles are at —1,—2,—3. 3. (4pts) In the following feedback system, (a) Find the values of K1 and K2 so that KI, : 2 and C = 0.5; (b) With the above values, estimate the percentage overshoot and settling time (2% tolerance). gCaWovx M‘cl/WM; EEBrgo 11- demélm “T- 7:- T: ;:I<cs+r) : man-s) s cg+4s+9> +tuK 3+5“) 5 3r4si¢9+1olgs+g~o1< L a c ‘ @ (L own/{LU shcd'DOl‘Ir 53+4f-52i—(84—(ot)s+fo}< \$5 _1_ 8+!0K 52 4 \$‘oK S «gioK)-fo|< _________9 32*[DK . ‘1— 5 50K 37 Rmmhmﬁ mm...) me “Ecol, ﬂy, am; “I: >0 H’wnt fww‘wéiﬁy/ Mama! 4. (5) K52- 77;? 51/57L'7'" "J 575:5]? . 7Keq§¢nlvm {k} ﬁfe- /(/:,§~:54m = chﬂme ﬁg 7%w75641 571.71 —9 q '5 Jﬁw‘f"? *7 @595; _.: “f” “3"” .— n KV 53K to»? 2 0' of C9 mare. Jlﬂ=1ﬂ/' 71-»: (any): 0. _ P (0 ya) _ 320 EN) = -—)’c.o WM Frw. IT‘PC ‘ 3 (,5 H, 3 I702 \ 5 j //rsz)a;:) danmﬁéfp) 77693?) '# loS _/ 2"; H My“) my) séwﬁ-aym» 5sz H @175? w 20 N -. :___,____. 1 0.2857 43 2cm L ’35‘77 2.; SCS—I) (p05+/.)r/0( (20%” -_~. 0+1) (5+2) (1+5) 2. [2053+ («/pfﬂ/QO)S+(IVfI7’-fogo‘)\$ f/O fl 2151'- K3 allf'fg ﬁl’w 7"“7’°=5' “772+”?w/L Mir/=6. \$74074, ¢z=7j fa=/-cP- 27:06 M ' a [.4957‘6'44 g0“ Jf7 TA; WA? 7;- '2 Lou: ,' S1: L=iﬁ pm A; S 5(5r/1‘2sz MW -: 2K1 : 2 e Ky hazel. 2* . / Cu”: 2(/ [-2gwaz/71ZK2 : /+2~K2. Q I g .2/1; ._ eJ :> [(1 :/+2Kz ! /+ 25sz Home K f— l: 2K: :> £32 _ i I K “ 2. 6O Ounﬂlzkl :‘2 -ZLL 19.020537 "5’2: “'32' 4/ 1‘5 :- i '1 2 4% ...
View Full Document

{[ snackBarMessage ]}

### Page1 / 3

Midterm_F09_2 - Midterm 2 for EE3530 Fall 2009 Figure 1...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online