Question# 1 Figure 1 shows the block diagram of a control system The plant used is given in figure 2 with e:(t) as the input voltage and x(t) is the output displacement. The values of the system parameters are: M=1 kg, K=1 N/m, B=1 N-s/m, R=1 N, L=1 H. Assume the value(s) of each other constant(s) (if any you define) equal to unity. a) Find the closed loop transfer function, T(s) = b) Determine the characteristic equation. c) How many closed loop poles this system has? d) Find the zeros (if any) of the system. C(s) R(s) R(s) Controller C(s) Plant, Gp(s) (given in figure 2) G(s) = (2 + 3/s) Figure 1 1 spring K B Viscaus damper Mass; M x(t) R टेल Coel Permament magmet Figure 2

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write neat and clean diagram where necessary.handwritten calculation is needed.show your Work for full Credit. Subject : Control System
Question# 1
Figure 1 shows the block diagram of a control system The plant used is given in figure 2 with
e:(t) as the input voltage and x(t) is the output displacement. The values of the system
parameters are: M=1 kg, K=1 N/m, B=1 N-s/m, R=1 N, L=1 H. Assume the value(s) of each
other constant(s) (if any you define) equal to unity.
a) Find the closed loop transfer function, T(s) =
b) Determine the characteristic equation.
c) How many closed loop poles this system has?
d) Find the zeros (if any) of the system.
C(s)
R(s)
R(s)
Controller
C(s)
Plant, Gp(s)
(given in figure 2)
Ge(s) = (2 + 3/s)
Figure 1
1
spring K
B Viscous
damper
Mass;
M
x(t)
R
देल
Coel
ects
Permament
magnet
Figure 2
Transcribed Image Text:Question# 1 Figure 1 shows the block diagram of a control system The plant used is given in figure 2 with e:(t) as the input voltage and x(t) is the output displacement. The values of the system parameters are: M=1 kg, K=1 N/m, B=1 N-s/m, R=1 N, L=1 H. Assume the value(s) of each other constant(s) (if any you define) equal to unity. a) Find the closed loop transfer function, T(s) = b) Determine the characteristic equation. c) How many closed loop poles this system has? d) Find the zeros (if any) of the system. C(s) R(s) R(s) Controller C(s) Plant, Gp(s) (given in figure 2) Ge(s) = (2 + 3/s) Figure 1 1 spring K B Viscous damper Mass; M x(t) R देल Coel ects Permament magnet Figure 2
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