1. Automatic control by meiling chen
Lesson 10
System design
Automatic control by meiling chen

2. Automatic control by meiling chen
Example : An Armature control DC motor
Armature circuit
Field circuit
constant
Automatic control by meiling chen

3. Automatic control by meiling chen+ -
Sensor
Design controller
Automatic control by meiling chen

4. Automatic control by meiling chen
Case I : Proportional control
Characteristic function :
Automatic control by meiling chen

5. Automatic control by meiling chen
Open loop transfer function :
Automatic control by meiling chen

6. Automatic control by meiling chen

7. Automatic control by meiling chen
Type I system
Automatic control by meiling chen

8. Automatic control by meiling chen
G.M.
P.M.
Automatic control by meiling chen

9. Automatic control by meiling chen
g1=zpk([],[0 –1 –5],[10])
margin(g1)
Automatic control by meiling chen

10. Automatic control by meiling chen
Case II : Proportional Integral control + -
Sensor
a zero
Open loop transfer function :
a pole
Automatic control by meiling chen

11. Automatic control by meiling chen
Type II system
The system order
Automatic control by meiling chen

12. Automatic control by meiling chen

13. Automatic control by meiling chen

14. Automatic control by meiling chen

15. Automatic control by meiling chen
g2 (PI controller) is unstable
g1 (P controller) is stable
Automatic control by meiling chen

16. Automatic control by meiling chen
Case III : Proportional derivative control + -
Sensor
Sensor
a zero
Open loop transfer function :
Automatic control by meiling chen

17. Automatic control by meiling chen
Type I system
Automatic control by meiling chen

18. Automatic control by meiling chen

19. Automatic control by meiling chen

20. Automatic control by meiling chen

21. Automatic control by meiling chen
Case IV : Proportional Integral derivative control + -
Open loop transfer function :
Automatic control by meiling chen

22. Automatic control by meiling chen
Open loop transfer function :
Type II system
Automatic control by meiling chen

23. Automatic control by meiling chen

24. Automatic control by meiling chen

25. Automatic control by meiling chen
Case V : phase lead control
Case VI : phase lag control
Automatic control by meiling chen

26. Automatic control by meiling chen+ -
Phase lead:
Phase lag:
Automatic control by meiling chen

27. Automatic control by meiling chen
Green phase lead
G.M.
P.M.
Automatic control by meiling chen

28. Automatic control by meiling chen
Phase lead
Automatic control by meiling chen

29. Automatic control by meiling chen
Green phase lag
G.M.
P.M.
Automatic control by meiling chen

30. Automatic control by meiling chen
Phase lag
Automatic control by meiling chen