Ir. Razi has been asked to build one controller in order to control the tilt angle

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Ir. Razi has been asked to build one controller in order to control the tilt angle of the main
rotor in mini aeroplane. As a result, he has successfully designed the system as in Figure
2a.
R(s)
1
Cis)
K
s(s + 3)(s2+ 2s + 2)
Figure 2a
a) Determine the open loop transfer function for this system
b) Sketch the root locus of the system on a graph paper with all relevant refinements
and label your graph completely. Show all intermediate constructions.
c) Locate a point on root locus that gives dominant closed loop poles with 5 = 0.5.
Determine the value of K at this point.
d) From the result obtained in c), determine the value of peak time and settling time of
the system and sketch response of the system at this point.
Transcribed Image Text:Ir. Razi has been asked to build one controller in order to control the tilt angle of the main rotor in mini aeroplane. As a result, he has successfully designed the system as in Figure 2a. R(s) 1 Cis) K s(s + 3)(s2+ 2s + 2) Figure 2a a) Determine the open loop transfer function for this system b) Sketch the root locus of the system on a graph paper with all relevant refinements and label your graph completely. Show all intermediate constructions. c) Locate a point on root locus that gives dominant closed loop poles with 5 = 0.5. Determine the value of K at this point. d) From the result obtained in c), determine the value of peak time and settling time of the system and sketch response of the system at this point.
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