1. Chapter 5. Time-Domain Analysis of Control Systems
Time response of continuous-data systems: Introduction
Typical test signals for the time response of control systems
The unit-step response and time domain specifications
Steady-state error
Time response of a first-order system
Transient response of a prototype second-order system
Chapter 5. Time-Domain Analysis of Control Systems

2. Chapter 5. Time-Domain Analysis of Control Systems
Time-domain analysis of a position-control system
Effects of adding poles and zeros to transfer functions
Dominant poles of transfer functions
The approximation of high-order systems by low-order system: the formal approach
MATLAB tools
Summary
Chapter 5. Time-Domain Analysis of Control Systems

3. Chapter 5. Time-Domain Analysis of Control Systems
5-1 Introduction
Chapter 5. Time-Domain Analysis of Control Systems

4. 5-2 Typical Test Signals for the Times Response of Control Systems
Chapter 5. Time-Domain Analysis of Control Systems

5. 5-3 The Unit-Step Response and Time-Domain Specifications
Chapter 5. Time-Domain Analysis of Control Systems

6. Chapter 5. Time-Domain Analysis of Control Systems
5-4 Steady-State Error
Chapter 5. Time-Domain Analysis of Control Systems

7. Chapter 5. Time-Domain Analysis of Control Systems
5-4 Steady-State Error
Chapter 5. Time-Domain Analysis of Control Systems

8. Chapter 5. Time-Domain Analysis of Control Systems
5-4 Steady-State Error
Chapter 5. Time-Domain Analysis of Control Systems

9. Chapter 5. Time-Domain Analysis of Control Systems
5-4 Steady-State Error
Chapter 5. Time-Domain Analysis of Control Systems

10. Chapter 5. Time-Domain Analysis of Control Systems
5-4 Steady-State Error
Chapter 5. Time-Domain Analysis of Control Systems

11. Chapter 5. Time-Domain Analysis of Control Systems
5-4 Steady-State Error
Chapter 5. Time-Domain Analysis of Control Systems

12. Chapter 5. Time-Domain Analysis of Control Systems
5-4 Steady-State Error
Chapter 5. Time-Domain Analysis of Control Systems

13. Chapter 5. Time-Domain Analysis of Control Systems
5-4 Steady-State Error
Chapter 5. Time-Domain Analysis of Control Systems

14. Chapter 5. Time-Domain Analysis of Control Systems
5-4 Steady-State Error
Chapter 5. Time-Domain Analysis of Control Systems

15. Chapter 5. Time-Domain Analysis of Control Systems
5-4 Steady-State Error
Chapter 5. Time-Domain Analysis of Control Systems

16. Chapter 5. Time-Domain Analysis of Control Systems
5-4 Steady-State Error
Chapter 5. Time-Domain Analysis of Control Systems

17. Chapter 5. Time-Domain Analysis of Control Systems
5-4 Steady-State Error
Chapter 5. Time-Domain Analysis of Control Systems

18. Chapter 5. Time-Domain Analysis of Control Systems
5-4 Steady-State Error
Chapter 5. Time-Domain Analysis of Control Systems

19. Chapter 5. Time-Domain Analysis of Control Systems
5-4 Steady-State Error
Chapter 5. Time-Domain Analysis of Control Systems

20. Chapter 5. Time-Domain Analysis of Control Systems
5-4 Steady-State Error
Chapter 5. Time-Domain Analysis of Control Systems

21. Chapter 5. Time-Domain Analysis of Control Systems
5-4 Steady-State Error
Chapter 5. Time-Domain Analysis of Control Systems

22. Chapter 5. Time-Domain Analysis of Control Systems
5-4 Steady-State Error
Chapter 5. Time-Domain Analysis of Control Systems

23. Chapter 5. Time-Domain Analysis of Control Systems
5-4 Steady-State Error
Chapter 5. Time-Domain Analysis of Control Systems

24. Chapter 5. Time-Domain Analysis of Control Systems
5-4 Steady-State Error
Chapter 5. Time-Domain Analysis of Control Systems

25. Chapter 5. Time-Domain Analysis of Control Systems
5-4 Steady-State Error
Chapter 5. Time-Domain Analysis of Control Systems

26. Chapter 5. Time-Domain Analysis of Control Systems
5-4 Steady-State Error
Chapter 5. Time-Domain Analysis of Control Systems

27. Chapter 5. Time-Domain Analysis of Control Systems
5-4 Steady-State Error
Chapter 5. Time-Domain Analysis of Control Systems

28. Chapter 5. Time-Domain Analysis of Control Systems
5-4 Steady-State Error
Chapter 5. Time-Domain Analysis of Control Systems

29. 5-5 Time Response of a First-Order System
Chapter 5. Time-Domain Analysis of Control Systems

30. 5-6 Transient Response of a Prototype Second-Order System
Chapter 5. Time-Domain Analysis of Control Systems

31. 5-6 Transient Response of a Prototype Second-Order System
Chapter 5. Time-Domain Analysis of Control Systems

32. 5-6 Transient Response of a Prototype Second-Order System
Chapter 5. Time-Domain Analysis of Control Systems

33. 5-6 Transient Response of a Prototype Second-Order System
Chapter 5. Time-Domain Analysis of Control Systems

34. 5-6 Transient Response of a Prototype Second-Order System
Chapter 5. Time-Domain Analysis of Control Systems

35. 5-6 Transient Response of a Prototype Second-Order System
Chapter 5. Time-Domain Analysis of Control Systems

36. 5-6 Transient Response of a Prototype Second-Order System
Chapter 5. Time-Domain Analysis of Control Systems

37. 5-6 Transient Response of a Prototype Second-Order System
Chapter 5. Time-Domain Analysis of Control Systems

38. 5-6 Transient Response of a Prototype Second-Order System
Chapter 5. Time-Domain Analysis of Control Systems

39. 5-6 Transient Response of a Prototype Second-Order System
Chapter 5. Time-Domain Analysis of Control Systems

40. 5-6 Transient Response of a Prototype Second-Order System
Chapter 5. Time-Domain Analysis of Control Systems

41. 5-6 Transient Response of a Prototype Second-Order System
Chapter 5. Time-Domain Analysis of Control Systems

42. 5-6 Transient Response of a Prototype Second-Order System
Chapter 5. Time-Domain Analysis of Control Systems

43. 5-6 Transient Response of a Prototype Second-Order System
Chapter 5. Time-Domain Analysis of Control Systems

44. 5-6 Transient Response of a Prototype Second-Order System
Chapter 5. Time-Domain Analysis of Control Systems

45. 5-6 Transient Response of a Prototype Second-Order System
Chapter 5. Time-Domain Analysis of Control Systems

46. 5-6 Transient Response of a Prototype Second-Order System
Chapter 5. Time-Domain Analysis of Control Systems

47. 5-6 Transient Response of a Prototype Second-Order System
Chapter 5. Time-Domain Analysis of Control Systems

48. 5-8 Time-Domain Analysis of a Position CS
Chapter 5. Time-Domain Analysis of Control Systems

49. 5-8 Time-Domain Analysis of a Position CS
Chapter 5. Time-Domain Analysis of Control Systems

50. 5-8 Time-Domain Analysis of a Position CS
Chapter 5. Time-Domain Analysis of Control Systems

51. 5-8 Time-Domain Analysis of a Position CS
Chapter 5. Time-Domain Analysis of Control Systems

52. 5-8 Time-Domain Analysis of a Position CS
Chapter 5. Time-Domain Analysis of Control Systems

53. 5-8 Time-Domain Analysis of a Position CS
Chapter 5. Time-Domain Analysis of Control Systems

54. 5-8 Time-Domain Analysis of a Position CS
Chapter 5. Time-Domain Analysis of Control Systems

55. 5-8 Time-Domain Analysis of a Position CS
Chapter 5. Time-Domain Analysis of Control Systems

56. 5-8 Time-Domain Analysis of a Position CS
Chapter 5. Time-Domain Analysis of Control Systems

57. 5-8 Time-Domain Analysis of a Position CS
Chapter 5. Time-Domain Analysis of Control Systems

58. 5-8 Time-Domain Analysis of a Position CS
Chapter 5. Time-Domain Analysis of Control Systems

59. 5-10 Dominant Poles of Transfer Functions
Chapter 5. Time-Domain Analysis of Control Systems

60. 5-10 Dominant Poles of Transfer Functions
Chapter 5. Time-Domain Analysis of Control Systems

61. 5-10 Dominant Poles of Transfer Functions
Chapter 5. Time-Domain Analysis of Control Systems

62. 5-10 Dominant Poles of Transfer Functions
Chapter 5. Time-Domain Analysis of Control Systems

63. 5-10 Dominant Poles of Transfer Functions
Chapter 5. Time-Domain Analysis of Control Systems

64. 5-11 PD controller and PI controller
Chapter 5. Time-Domain Analysis of Control Systems

65. 5-11 PD controller and PI controller
Chapter 5. Time-Domain Analysis of Control Systems

66. 5-11 PD controller and PI controller
Chapter 5. Time-Domain Analysis of Control Systems

67. 5-11 PD controller and PI controller
Chapter 5. Time-Domain Analysis of Control Systems

68. 5-12 MATLAB Tools clear all; close all; t= 0:0.1:10; for iter = 1 : 3
switch iter; case 1; KP=1; KD=0;
case 2; KP=1; KD=0.414; case 3; KP=8; KD=3; end
num=[2*KD 2*KP]; den=[1 2+2*KD 2*KP]; y=step(num,den,t);
switch iter; case 1; plot(t,y,'r-'); case 2; plot(t,y,'b:'); case 3; plot(t,y,'k--'); end
grid ; title('Step response with KP and KD'); hold on;
end
hold off; legend('KP=1 & KD=0','KP=1 & KD=0.414','KP=8 & KD=3')
Chapter 5. Time-Domain Analysis of Control Systems

69. Chapter 5. Time-Domain Analysis of Control Systems
5-13 Summary
Chapter 5. Time-Domain Analysis of Control Systems