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Figure 4.1 A closed-loop system.

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Presentation on theme: "Figure 4.1 A closed-loop system."— Presentation transcript:

1 Figure 4.1 A closed-loop system.

2 Figure 4. 2 An open-loop system with a disturbance input, Td(s)
Figure An open-loop system with a disturbance input, Td(s). (a) Signal-flow graph. (b) Block diagram.

3 Figure 4. 3 A closed-loop control system. (a) Signal-flow graph
Figure A closed-loop control system. (a) Signal-flow graph. (b) Block diagram.

4 Figure 4.4 (a) Open-loop amplifier. (b) Amplifier with feedback.

5 Figure 4.5 Block diagram model of feedback amplifier assuming Rp ≫ R0 of the amplifier.

6 Figure 4.6 Steel rolling mill.

7 Figure 4.7 Open-loop speed control system (without tachometer feedback).

8 Figure 4.8 Motor speed–torque curves.

9 Figure 4.9 Closed-loop speed tachometer control system.

10 Figure 4. 10 Closed-loop system. (a) Signal-flow graph model
Figure Closed-loop system. (a) Signal-flow graph model. (b) Block diagram model.

11 Figure 4.11 The speed-torque curves for the closed-loop system.

12 Figure 4. 12 Cascade controller system (without feedback)
Figure Cascade controller system (without feedback). (a) Signal-flow graph. (b) Block diagram

13 Figure 4.13 Open-loop speed control system (without feedback).

14 Figure 4. 14 (a) Closed-loop speed control system
Figure (a) Closed-loop speed control system. (b) Transistorized closed-loop speed control system.

15 Figure The response of the open-loop and closed-loop speed control system when Ƭ = 10 and K1KaKt = 100.The time to reach 98% of the final value for the open-loop and closed-loop system is 40 seconds and 0.4 second, respectively.

16 Figure The DLR German Aerospace Center is developing an advanced robotic hand. The final goal—fully autonomous operation—has not yet been acheived. Currently, the control is accomplished via a telemanipulation system consisting of a lightweight robot with a four-fingered articulated hand mounted on a mobile platform. The hand operator receives stereo video feedback and force feedback. This information is employed in conjunction with a data glove equipped with force feedback and an input device to control the robot. (Used with permission. Credit: DLR Institute of Robotics and Mechatronics.)

17 Figure 4.17 A block diagram model of a boring machine control system.

18 Figure The response y(t) to (a) a unit input step r(t) and (b) a unit disturbance step input with Td(s) = 1/s for K = 100.

19 Figure The response y(t) for a unit step input (solid line) and for unit step disturbance (dashed line) for K = 20.

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21 Figure Mars Exploration Rovers are significantly more capable than their predecessor, the Mars Pathfinder Sojourner. (Courtesy of NASA.)

22 Figure 4. 21 Control system for the rover
Figure Control system for the rover. (a) Open-loop (without feedback). (b) Closed-loop with feedback.

23 Figure 4.22 The magnitude of the sensitivity of the closed-loop system for the Mars rover vehicle.

24 Figure Elements of the control system design process emphasized in the blood pressure control example.

25 Figure 4.24 Blood pressure control system configuration.

26 Figure 4.25 Mean arterial pressure (MAP) impulse response for a hypothetical patient.

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28 Figure 4.26 System sensitivity to variations in the parameter p.

29 Figure 4.27 Mean arterial pressure (MAP) step input response with R(s) = 10/s.

30 Figure 4.28 Mean arterial pressure (MAP) disturbance step response.

31

32 Figure 4. 29 Analysis of the open-loop speed control system
Figure Analysis of the open-loop speed control system. (a) Response. (b) m-file script.

33 Figure 4. 30 Analysis of the closed-loop speed control system
Figure Analysis of the closed-loop speed control system. (a) Response. (b) m-file script.

34 Figure 4.31 The response to a step input when (a) K = 100 and (b) K = 20. (c) m-file script.

35 Figure 4.32 The response to a step disturbance when (a) K = 100 and (b) K = 20. (c) m-file script.

36

37 Figure 4. 33 (a) System sensitivity to plant variations (s = jω)
Figure (a) System sensitivity to plant variations (s = jω). (b) m-file script..

38 Figure 4.34 Control system for disk drive head reader.

39 Figure 4.35 Disk drive head control system with the typical parameters of Table 2.10.

40 Figure 4. 36 Closed-loop response. (a) m-file script
Figure Closed-loop response. (a) m-file script. (b) Step response for Ka = 10 and Ka = 80.

41 Figure 4. 37 Disturbance step response. (a) m-file script
Figure Disturbance step response. (a) m-file script. (b) Disturbance response for Ka = 80.

42 Figure 4. 38 (a) A single-loop feedback control system
Figure (a) A single-loop feedback control system. (b) The error response for a unit step disturbance when R(s) = 0.

43

44 Figure E4.2 Digital audio system.

45 Figure E4.3 Robot fruit picker.

46 Figure E4.4 Disk drive control.

47 Figure E4.6 Four-wheel drive auto.

48 Figure E4.7 Depth control system.

49 Figure E4.8 Feedback control system.

50 Figure E4.9 Closed-loop system with nonunity feedback.

51 Figure E4.10 Closed-loop system with nonunity feedback and measurement noise

52 Figure E4. 11 Control system for a steel rolling mill
Figure E Control system for a steel rolling mill. (a) Signal flow graph. (b) Block diagram.

53 Figure E4.12 Closed-loop feedback system with two parameters, K and K1.

54 Figure E4.13 Closed-loop feedback system with K = 120 and K1 = 10.

55 Figure P4.1 Tank level control.

56 Figure P4. 2 Ship stabilization system
Figure P4.2 Ship stabilization system. The effect of the waves is a torque Td (s) on the ship.

57 Figure P4.3 Temperature control system.

58 Figure P4.4 Two-path system.

59 Figure P4.5 Antenna control system.

60 Figure P4.6 Automobile speed control.

61 Figure P4.7 Robot control system.

62 Figure P4.8 Temperature control system.

63 Figure P4.9 Photosensor system.

64 Figure P4.10 Paper tension control.

65 Figure P4.11 Paper-making control.

66 Figure P4.12 Two feedback systems.

67 Figure P4.13 Closed-loop system.

68 Figure P4.14 Hypersonic airplane speed control.

69 Figure P4.15 Ship steering control.

70 Figure P4.16 Two-tank temperature control.

71 Figure P4.17 Robot gripper control.

72 Figure AP4.1 A tank level regulator.

73 Figure AP4.2 Robot joint control.

74 Figure AP4.3 Machine tool feedback.

75 Figure AP4.4 DC motor with feedback.

76 Figure AP4.5 Blood pressure control.

77 Figure AP4.6 A lead network.

78 Figure AP4.7 Feedback system with noise.

79 Figure AP4.8 Machine-tool control.

80 Figure CDP4.1 The model of the feedback system with a capacitance measurement sensor. The tachometer may be mounted on the motor (optional), and the switch will normally be open.

81 Figure DP4.1 Speed control system.

82 Figure DP4.2 Control of the roll angle of an airplane.

83 Figure DP4.3 Speed control system.

84 Figure DP4.4 Laser eye surgery system.

85 Figure DP4.5 Op-map circuit.

86 Figure DP4. 6 a) Europa exploration under the ice
Figure DP4.6 a) Europa exploration under the ice. (Used with permission. Credit: NASA.) (b) Feedback system.

87 Figure CP4.4 A closed-loop negative feedback control system.

88 Figure CP4.5 A closed-loop control system with uncertain parameter a.

89 Figure CP4. 6 (a) A torsional mechanical system
Figure CP4.6 (a) A torsional mechanical system. (b) The torsional mechanical system feedback control system.

90 Figure CP4.7 A simple single-loop feedback control system.

91 Figure CP4.8 Closed-loop system with nonunity feedback and measurement noise.

92 Figure CP4.9 Closed-loop feedback system with external disturbances.

93 Figure CP4.10 Closed-loop system with a sensor in the feedback loop.


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