Question 1:...... a) Sketch the root locus. b) What are the values of the gain and poles at the imaginary axis crossings:.. c) Find the range of the gain making the system stable............ d) Dominant poles are at s1,2= -1 ± / 3.5, whenk = 8, Find the location of third pol......... e) What is the system type?........... f) Find the steady-state errors at k=8,when r(t)= 0.6 u(t) step and 0.6tu(t) ramp inputs are applied............ g) Add a PI controller with k=8 and zero of s=-0.2, find the steady state error at for the same inputs:............... 1 ******************

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write please ansers of b,c d,e,f,g only, demonstrate enough please

 

Question 1:.
a) Sketch the root locus..
b) What are the values of the gain and poles at the imaginary axis crossings:..
c) Find the range of the gain making the system stable.......
d) Dominant poles are at s1,2 = -1 ±j 3.5, whenk = 8, Find the location of third pole.........
e) What is the system type?...
f) Find the steady-state errors at k=8,when r(t)= 0.6 u(t) step and 0.6tu(t) ramp inputs are
applied:.........
g) Add a Pl controller with k-8 and zero of s=-0.2, find the steady state error at for the same
inputs:..........
Ge(s) = k(s + 10) ; Gp(s) =
1
(s + 1)(s + 2)(s + 6)
Transcribed Image Text:Question 1:. a) Sketch the root locus.. b) What are the values of the gain and poles at the imaginary axis crossings:.. c) Find the range of the gain making the system stable....... d) Dominant poles are at s1,2 = -1 ±j 3.5, whenk = 8, Find the location of third pole......... e) What is the system type?... f) Find the steady-state errors at k=8,when r(t)= 0.6 u(t) step and 0.6tu(t) ramp inputs are applied:......... g) Add a Pl controller with k-8 and zero of s=-0.2, find the steady state error at for the same inputs:.......... Ge(s) = k(s + 10) ; Gp(s) = 1 (s + 1)(s + 2)(s + 6)
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