Question

QUESTION 3 [25 Marks] a) Examine the stability of the control system given below using Routh-Hurwitz Criterion. Identify the location (right half plane, left half plane or on the imaginary plane) of the closed loop poles of the system too. R(s) 1 s+2 s-7 s^2-s+6 C(s) Figure 5.1: Block diagram of a control system. [10 Marks] b) Now, a gain of K(s) is added to the system as shown in Figure 5.2. Decide on the gain K(s), where 100 <K(s) < 1000. Assess the stability of the system with new gain and compare it with the system in Q3(a). R(s) 1 s+2 C(s) K(s) s-7 s^2-s+6 Figure 5.2: Block diagram of control system with new gain. [15 Marks]

          QUESTION 3 [25 Marks]
a) Examine the stability of the control system given below using Routh-Hurwitz
Criterion. Identify the location (right half plane, left half plane or on the
imaginary plane) of the closed loop poles of the system too.
R(s)
1
s+2
s-7
s^2-s+6
C(s)
Figure 5.1: Block diagram of a control system.
[10 Marks]
b) Now, a gain of K(s) is added to the system as shown in Figure 5.2. Decide on
the gain K(s), where 100 <K(s) < 1000. Assess the stability of the system with
new gain and compare it with the system in Q3(a).
R(s)
1
s+2
C(s)
K(s)
s-7
s^2-s+6
Figure 5.2: Block diagram of control system with new gain.
[15 Marks]

QUESTION 3 [25 Marks]
a) Examine the stability of the control system given below using Routh-Hurwitz
Criterion. Identify the location (right half plane, left half plane or on the
imaginary plane) of the closed loop poles of the system too.
R(s)
1
s+2
s-7
s^2-s+6
C(s)
Figure 5.1: Block diagram of a control system.
[10 Marks]
b) Now, a gain of K(s) is added to the system as shown in Figure 5.2. Decide on
the gain K(s), where 100 <K(s) < 1000. Assess the stability of the system with
new gain and compare it with the system in Q3(a).
R(s)
1
s+2
C(s)
K(s)
s-7
s^2-s+6
Figure 5.2: Block diagram of control system with new gain.
[15 Marks]

Added by Ricardo R.

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