8.8 ASSIGNMENT PROBLEMS

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1. Develop a transfer function for the circuit below.

2. Given the transfer functions and input functions, F, use a numerical method to calculate the output of the system as a function of time for 0 to 0.5 seconds in 0.05 second intervals. Record the values in a table.

3. Simplify the following block diagram.

4. Simplify the following block diagram.

5. Simplify the following block diagram.

6. Simplify the following block diagram.

7. Simplify the following block diagram.

8. Simplify the following block diagram for a crane gantry position control system. The system also includes a negative feedback loop to control the sway of an attached load

9. Write a C subroutine to implement the control system that is shown inside the dashed line. The subroutine arguments are the setpoint, C, and the feedback value, F. the subroutine returns the new controller output value, U.

10. Write C subroutines to implement the control system that is shown inside the dashed line. The subroutine arguments are the setpoint, C, and the feedback value, F. the subroutine returns the new controller output value, U.

11. Given the following negative feedback control system, calculate a new controller transfer function (Gc) to get the desired response for the system.

12. Write a C subroutine that implements the control function below. (Hint: Convert it to state equations first.)

13. Develop a transfer function for the following system. The input is Vd and the output is the motor shaft speed. Assume all components are ideal. The motors are identical with a resistance of 10 ohms. With an input voltage of 4V the motors spin at 4000RPM (steady state), and have a time constant of 0.1s.