test2-soln

# test2-soln - EET309 Test2-Soln 1 From block diagram in...

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: EET309 Test2-Soln 1. From block diagram in Figure 1 below. Figure 1 (a) Write down the open loop transfer function G(s)H(s) for the system in Figure 1. (2 Marks) O.L.T.F, ( 29 ( 29 ( 29( 29 3 1 + + = s s s K s H s G (b) Sketch root locus as K is varied from 0 to ∞ . (10 Marks) Angle of asymptotes, θ a = ±60º, ±180º Point of intersect, 33 . 1 3 3 1- =-- = a σ Breakaway point, ( 29 s s s K 3 4 3 3 + +- = ( 29 3 8 3 2 = + +- = s s ds dK 2 111 . 3 67 . 2 1 3 8 2 ±- = =       + +- s s s s=-2.21 and -0.45 Therefore breakaway is -0.45 Crossing at j ϖ axis : ( 29 732 . 1 3 3 1 ....... .......... 3 4 3 4 3 2 3 3 3 ± = = → = = + +-- = = + + + ± ϖ ϖ ϖ ϖ ϖ ϖ ϖ K j j j s K s s s ( 29 1 1 + s s R(s) ( 29 3 + s K C(s) E(s) EET309 Test2-Soln -10-8-6-4-2 2 4-6-4-2 2 4 6 Root Locus Real Axis Imaginary Axis (c) What is the value of K when the system is marginally (critically) stable....
View Full Document

## This note was uploaded on 03/04/2011 for the course EET 309 taught by Professor Mariahahmad during the Spring '11 term at University of Malaya.

### Page1 / 5

test2-soln - EET309 Test2-Soln 1 From block diagram in...

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

View Full Document
Ask a homework question - tutors are online