Problem 04-01

1
Homework-04
Problem 04-01
In the control system shown in the figure Gp and
Gc are given as
Gp(s)(2s3)/(s36s2-28s) and GcK. a) Is the
system stable for K100. b) What is the value of
the steady-state error for the parabolic input If
the control gain is K80.
Problem 04-02
Kuo 6-9. (P.355)
The block diagram of the dc-motor control system
with tacometer feedback is shown in the figure.
Find the range of the tachometer constant Kt so
that the system is asymtotically stable.
Answer
2
Thompson (p. 131)
Problem 04-03
Find the tranfer funtion of PID controller for
the closed loop system using the Ziegler-Nichols
method. Write the MATLAB program for the step
response.
Answer
Problem 04-04
If the control gain of a closed loop system is
greater than 36.8, the system is unstable. In
this crital gain, the poles are found as -2.4,
1.8i, -13.6i. Find the tranfer funtion of PI
controller for the closed loop system using the
Ziegler-Nichols method.
Problem 04-05
Consider Example 4.2. Compare the results by
plotting the step responses of the closed loop
system for P, PI and PID control.