{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

332-5solutions - ECE 332 Homework#5 1 For each of the...

Info iconThis preview shows pages 1–16. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

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

View Full Document Right Arrow Icon
Background image of page 2
Background image of page 3

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

View Full Document Right Arrow Icon
Background image of page 4
Background image of page 5

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

View Full Document Right Arrow Icon
Background image of page 6
Background image of page 7

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

View Full Document Right Arrow Icon
Background image of page 8
Background image of page 9

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

View Full Document Right Arrow Icon
Background image of page 10
Background image of page 11

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

View Full Document Right Arrow Icon
Background image of page 12
Background image of page 13

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

View Full Document Right Arrow Icon
Background image of page 14
Background image of page 15

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

View Full Document Right Arrow Icon
Background image of page 16
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ECE 332 Homework #5 1) For each of the following transfer functions G (3), sketch the root locus. 1 a) s(a+1)5 2s+1 3s+1 b) L—é—Js c) T...__3 s +23+2 2) For each plant G (s) in problem 1), consider the corresponding gain compensated system. In each case, use Routh—Hurwitz methods to find the number of open RI-IP poles in the closed-loop system as a function of the gain K. 3) Repeat problem 2), using Nyquist plots. Compare your results with those obtained in 2). 4) Consider the plant and compensator 1 2s + 2 32—1’ Gc(s)— 3+3. Investigate the effect of varying each compensator pole and zero as well as the compensator hi gh—frequency gain on stability of the closed-loop system. That is, draw the root locus corresponding to each of the following parametrized compensators. 0(3) 2 a) Gc(3) = 2% b) 616(3) = 2%}; c) GC : Kg}; (Assume K, 2, and p to be real.) For each system, determine the range of K, 2, or p for closed-loop stability. 5) Consider the plant 1 G = . a) Using the formulas for second-order systems, design a gain K so that the gain compensated closed- loop system satisfies the specifications i) 6531 S .5 3, ii) tab 2 2.5 rad/s, iii) Mp S 1.35. b) In MATLAB, type “k = K; hw55” to plot closed—loop frequency and step responses for the value of K obtained in part a). Verify that specifications ii) and iii) are met. EQE: H t) he? MAM 5‘\ X \A "T" (7 ‘: . 2 WWW fie 53 J‘ (a \ I <fl0\\'\&? ;w,r N’pfl My 2 ([15+5W23—(QSI‘F z “63%4/93‘3 ------- a «.657 5214?? 4;?) a (L) A a; .1: 4'“ :7" C“ ~ Q J 6 / / Q l 3 L 3 l o % 2K 9 I-§Lk o [0/ B4réi7/V S$+»Mé§%§s~w/ vamfa WMWV3K: [I s 34 ‘ L»~ff<’ )5 + L Q; AEQ iiiii ‘3? ‘ ”L F) X : —’2)"§ ‘"~ K“ W1 BAL>Q A “l/ K j /’ if , 0 (ii if WW2 "+7 ~" ‘5 x *1 )9 > 5:: r“ N2 2 g: 2, (5‘<77)U+Li7tjfiffi<§§222‘..;2>:?“j,59/ 222112. 2 2 2:» 2 <_ -22 2 2 2 2.2 22 “Maj/27 a (H )1) )(f )1 x) v1- )9) I “W/ .3 (gig +2,+/1€5~))/()+)) ()1 ) i f )1 2” I! V " I .4 H »’ <1" 2 DC 1) ~71! Mn N E W: \I v a} “W K (gm MW; VJ ohm/w! 1:7 “/v a “‘“tm INM M 0M. L(%UJ‘QV¢ V/ l?) Closed—Loop Frequency Response 100 2.956; radians/second Closed-Loop Step Response seconds ...
View Full Document

{[ snackBarMessage ]}