{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

rootlocus4

# rootlocus4 - Root Locus QUESTION 4 For the system shown in...

This preview shows pages 1–2. Sign up to view the full content.

Root Locus Q UESTION 4 For the system shown in Figure 4 with ( 29 1 C G s = and ( 29 ( 29 ( 29 ( 29 2 3 2 2 5 s G s s s s + = + - + , sketch the Root Locus Diagram by hand and using Matlab. How many zeros does the system contain and what are their values? How many poles does the system contain and what are their values? What are the total number of branches and how many branches will go to infinity? Where is the Root Locus on the real axis? If necessary, calculate the asymptote angles and real axis intercept, imaginary axis crossing, and the value of K at the imaginary axis crossing. G(s) KG C (s) R(s) + - Y(s) Figure 4 There is m = 1 zero located at –3. There are n = 4 poles located at 2 j - , 2 j , 2, and –5. There are n = 4 branches and n m = 3 branches go to infinity. The Root Locus is on the real axis between 2 and –3, and from –5 to infinity. The asymptote real axis intercept is [ ] 2 2 2 5 3 0 4 1 a j j σ - + + - - - = = - . The asymptote angles are [ ] 0 2 1 180 0, 1, 2, a i i n m θ + = = ± ± - K . There are n m = 3 distinct asymptotes with angles 0 0 0 60 , 60 ,180 a θ = - .

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

View Full Document
Root Locus The closed–loop transfer function is ( 29 ( 29 ( 29
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 2

rootlocus4 - Root Locus QUESTION 4 For the system shown in...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online