Question

Q.2 (10 marks) The following figure shows three feedback control systems. System one is a positional servo system (P control). System II is a positional servo system with PD control. System III is a positional servo system with velocity feedback (PV control). (1) Calculate the steady state error for each system for unit step input and unit ramp input. (2) Which system has the biggest steady state error? (3) Build Matlab Simulink model and simulate each system with unit step input, and plot the responses of the three systems on the same plot. (4) From the system step responses, determine the system with the best transient performance with respect to speed of response and maximum overshoot. $R(s)$ \\ $C(s)$ 5 $\frac{1}{s(5s+1)}$ System I $R(s)$ \\ $C_n(s)$ $5(1+0.8s)$ $\frac{1}{s(5s+1)}$ System II $R(s)$ \\ $+$ \\ 5 $\frac{1}{5s+1}$ \\ $C_m(s)$ $\frac{1}{s}$ \\ 0.8 System III Figure 2

          Q.2 (10 marks) The following figure shows three feedback control systems. System
one is a positional servo system (P control). System II is a positional servo system with
PD control. System III is a positional servo system with velocity feedback (PV control).
(1) Calculate the steady state error for each system for unit step input and unit ramp
input.
(2) Which system has the biggest steady state error?
(3) Build Matlab Simulink model and simulate each system with unit step input,
and plot the responses of the three systems on the same plot.
(4) From the system step responses, determine the system with the best transient
performance with respect to speed of response and maximum overshoot.
$R(s)$ \\
$C(s)$
5
$\frac{1}{s(5s+1)}$
System I
$R(s)$ \\
$C_n(s)$
$5(1+0.8s)$
$\frac{1}{s(5s+1)}$
System II
$R(s)$ \\
$+$ \\
5
$\frac{1}{5s+1}$ \\
$C_m(s)$
$\frac{1}{s}$ \\
0.8
System III
Figure 2

Q.2 (10 marks) The following figure shows three feedback control systems. System
one is a positional servo system (P control). System II is a positional servo system with
PD control. System III is a positional servo system with velocity feedback (PV control).
(1) Calculate the steady state error for each system for unit step input and unit ramp
input.
(2) Which system has the biggest steady state error?
(3) Build Matlab Simulink model and simulate each system with unit step input,
and plot the responses of the three systems on the same plot.
(4) From the system step responses, determine the system with the best transient
performance with respect to speed of response and maximum overshoot.
R(s)

C(s)
5
(1)/(s(5s+1))
System I
R(s)

Cn(s)
5(1+0.8s)
(1)/(s(5s+1))
System II
R(s)

+

5
(1)/(5s+1)

Cm(s)
(1)/(s)

0.8
System III
Figure 2

Added by Olga H.

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