a fractional order (proportional and derivative) motion controller design for a class of...

94
A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems (CSOIS), Dep. Electrical and Computer Engineering, Utah State University, Logan, UT, USA. Ying Luo

Upload: mckenna-cadman

Post on 29-Mar-2015

226 views

Category:

Documents


10 download

TRANSCRIPT

Page 1: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

A Fractional Order (Proportional and Derivative)

Motion Controller Design for A Class of Second-order Systems

Center for Self-Organizing Intelligent Systems (CSOIS), Dep. Electrical and Computer Engineering,

Utah State University, Logan, UT, USA.

Ying Luo

Page 2: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

2

I. IntroductionII. Typical second-order system

concerned and the specifications for the three controllers design

III. Integer Order PID Controller DesignIV. Fractional Order PD Controller DesignV. Fractional Order (PD) Controller DesignVI. Implementation of Two Fractional

Order Operators for Two Fractional Order Controllers

VII. SimulationVIII. ExperimentIX. Conclusion

Outline

Page 3: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

3

I. IntroductionII. Typical second-order system

concerned and the specifications for the three controllers design

III. Integer Order PID Controller DesignIV. Fractional Order PD Controller DesignV. Fractional Order (PD) Controller DesignVI. Implementation of Two Fractional

Order Operators for Two Fractional Order Controllers

VII. SimulationVIII. ExperimentIX. Conclusion

Outline

Page 4: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

4

Introduction

In this work, practical and systemic design methods ofinteger order PID (IO-PID) controller, fractional order

proportional and derivative (FO-PD) controller and fractionalorder (proportional and derivative) controller for a typicalsecond-order plant are proposed. The control performances with

the proposed two fractional order controllersand the traditional IO-PID controller which are all properlydesigned are compared fairly through the simulation andexperiment. The two fractional order controllers can achieve much better

dynamic performance and robustness over the traditional IO-PID controller. Furthermore, the proposed fractional order (proportional and derivative) (FO-(PD)) controller performances even better then the FO-PD controller.

Page 5: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

5

Introduction

The major contributions of this work include:

1) Practical and systemic design procedures of IO-PID, FOPD and FO-(PD) controllers for a class of typical second order plants;

2) Simulation fair comparison of performances with the proposed two fractional order controllers and the traditional IO-PID controller;

3) Experiment verification of the proposed FO-(PD) controller on the real-time dynamometer position control system;

4) Demonstration of the advantage of the FO-(PD) controller performing the simulation and experimental comparisons with the traditional IO-PID controller and the FO-PD controller.

Page 6: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

6

I. Introduction

II. Typical second-order system concerned and the specifications for the three controllers design

III. Integer Order PID Controller Design

IV. Fractional Order PD Controller Design

V. Fractional Order (PD) Controller Design

VI. Implementation of Two Fractional Operators for Two Fractional Order Controllers

VII. Simulation

VIII. Experiment

Outline

Page 7: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

7

Typical second-order system concerned and the specifications for the three controllers design

Page 8: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

8

Typical second-order system concerned and the specifications for the three controllers design

Page 9: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

9

Typical second-order system concerned and the specifications for the three controllers design

Page 10: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

10

Typical second-order system concerned and the specifications for the three controllers design

Page 11: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

11

Typical second-order system concerned and the specifications for the three controllers design

Page 12: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

12

Typical second-order system concerned and the specifications for the three controllers design

Page 13: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

13

Typical second-order system concerned and the specifications for the three controllers design

Page 14: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

14

Typical second-order system concerned and the specifications for the three controllers design

Page 15: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

15

I. IntroductionII. Typical second-order system

concerned and the specifications for the three controllers design

III. Integer Order PID Controller DesignIV. Fractional Order PD Controller DesignV. Fractional Order (PD) Controller DesignVI. Implementation of Two Fractional

Operators for Two Fractional Order Controllers

VII. SimulationVIII. ExperimentIX. Conclusion

Outline

Page 16: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

16

Integer Order PID Controller Design

Page 17: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

17

Integer Order PID Controller Design

Page 18: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

18

Integer Order PID Controller Design

Page 19: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

19

Integer Order PID Controller Design

Page 20: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

20

Integer Order PID Controller Design

Page 21: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

21

Integer Order PID Controller Design

Page 22: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

22

Integer Order PID Controller Design

Page 23: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

23

Integer Order PID Controller Design

Page 24: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

24

Integer Order PID Controller Design

Page 25: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

25

Integer Order PID Controller Design

Page 26: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

26

Integer Order PID Controller Design

Page 27: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

27

Integer Order PID Controller Design

Page 28: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

28

Integer Order PID Controller Design

Page 29: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

29

Integer Order PID Controller Design

Page 30: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

30

Integer Order PID Controller Design

Page 31: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

31

I. IntroductionII. Typical second-order system

concerned and the specifications for the three controllers design

III. Integer Order PID Controller DesignIV. Fractional Order PD Controller DesignV. Fractional Order (PD) Controller DesignVI. Implementation of Two Fractional

Operators for Two Fractional Order Controllers

VII. SimulationVIII. ExperimentIX. Conclusion

Outline

Page 32: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

32

Fractional Order PD Controller Design

Page 33: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

33

Fractional Order PD Controller Design

Page 34: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

34

Fractional Order PD Controller Design

Page 35: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

35

Fractional Order PD Controller Design

Page 36: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

36

Fractional Order PD Controller Design

Page 37: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

37

Fractional Order PD Controller Design

Page 38: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

38

Fractional Order PD Controller Design

Page 39: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

39

Fractional Order PD Controller Design

Page 40: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

40

I. IntroductionII. Typical second-order system

concerned and the specifications for the three controllers design

III. Integer Order PID Controller DesignIV. Fractional Order PD Controller DesignV. Fractional Order (PD) Controller DesignVI. Implementation of Two Fractional

Operators for Two Fractional Order Controllers

VII. SimulationVIII. ExperimentIX. Conclusion

Outline

Page 41: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

41

Fractional Order (PD) Controller Design

Page 42: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

42

Fractional Order (PD) Controller Design

Page 43: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

43

Fractional Order (PD) Controller Design

Page 44: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

44

Fractional Order (PD) Controller Design

Page 45: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

45

Fractional Order (PD) Controller Design

Page 46: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

46

Fractional Order (PD) Controller Design

Page 47: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

47

Fractional Order (PD) Controller Design

Page 48: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

48

Fractional Order (PD) Controller Design

Page 49: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

49

Fractional Order (PD) Controller Design

Page 50: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

50

Fractional Order (PD) Controller Design

Page 51: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

51

Fractional Order (PD) Controller Design

Page 52: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

52

I. IntroductionII. Typical second-order system

concerned and the specifications for the three controllers design

III. Integer Order PID Controller DesignIV. Fractional Order PD Controller DesignV. Fractional Order (PD) Controller DesignVI. Implementation of Two Fractional

Operators for Two Fractional Order Controllers

VII. SimulationVIII. ExperimentIX. Conclusion

Outline

Page 53: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

53

Implementation of Two Fractional Operators

Page 54: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

54

Implementation of Two Fractional Operators

Page 55: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

55

Implementation of Two Fractional Operators

Page 56: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

56

Implementation of Two Fractional Operators

Page 57: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

57

Implementation of Two Fractional Operators

Page 58: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

58

Implementation of Two Fractional Operators

Page 59: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

59

Implementation of Two Fractional Operators

Page 60: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

60

Implementation of Two Fractional Operators

Page 61: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

61

Implementation of Two Fractional Operators

Page 62: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

62

I. IntroductionII. Typical second-order system

concerned and the specifications for the three controllers design

III. Integer Order PID Controller DesignIV. Fractional Order PD Controller DesignV. Fractional Order (PD) Controller DesignVI. Implementation of Two Fractional

Operators for Two Fractional Order Controllers

VII. SimulationVIII. ExperimentIX. Conclusion

Outline

Page 63: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

63

Simulation

Page 64: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

64

Simulation

Page 65: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

65

Simulation

Page 66: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

66

Simulation

Page 67: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

67

Simulation

Page 68: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

68

Simulation

Page 69: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

69

Simulation

Page 70: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

70

Simulation

Page 71: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

71

Simulation

Page 72: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

72

Simulation

Page 73: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

73

Simulation

Page 74: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

74

Simulation

Page 75: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

75

Simulation

Page 76: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

76

Simulation

Page 77: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

77

Simulation

Page 78: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

78

Simulation

Page 79: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

79

Simulation

Page 80: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

80

Simulation

Page 81: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

81

Simulation

Page 82: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

82

Simulation

Page 83: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

83

Simulation

Page 84: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

84

Simulation

Page 85: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

85

I. IntroductionII. Typical second-order system

concerned and the specifications for the three controllers design

III. Integer Order PID Controller DesignIV. Fractional Order PD Controller DesignV. Fractional Order (PD) Controller DesignVI. Implementation of Two Fractional

Operators for Two Fractional Order Controllers

VII. SimulationVIII. ExperimentIX. Conclusion

Outline

Page 86: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

86

Experiment

Page 87: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

87

Experiment

Page 88: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

88

Experiment

Page 89: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

89

Experiment

Page 90: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

90

Experiment

Page 91: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

91

Experiment

Page 92: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

92

I. IntroductionII. Typical second-order system

concerned and the specifications for the three controllers design

III. Integer Order PID Controller DesignIV. Fractional Order PD Controller DesignV. Fractional Order (PD) Controller DesignVI. Implementation of Two Fractional

Operators for Two Fractional Order Controllers

VII. SimulationVIII. ExperimentIX. Conclusion

Outline

Page 93: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

93

Conclusion

Page 94: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems

94

Thanks for your attention !