Question

(a) Using the root locus plot shown in figure Q2 (a), find the system damped natural frequency ( d)
when the system is marginally stable, then find the maximum gain for stable system.
[5 Marks ]
(b) Using the Root locus plot shown in figure Q2 (a), determine the open loop transfer function.
[ 5 Marks ]
Figure Q2 (a) open-loop Transfer function Root Locus Plot
(c) G(s) is an open loop system transfer functions that include an adjustable gain K.
( )
( 5)( 15)
K
G s
s s s

 
i. Plot suitable Root Locus diagrams for the system such that closed loop performance may
be evaluated [7 marks ]
ii. What value of gain K would result in a system with a second order dominant response
with an overshoot of 10% or less? [4 marks ]
iii. At this value, what are the rise time and settling time of the system?

I tray to post the photo of Root lucus but not save

Answer 1