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Control Function Block Diagrams EGR 386 8/26/2011
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Control Function Block Diagrams - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/Lecture1EGR386.pdf · Control Function Block Diagrams EGR386 8/26/2011. Block diagram: terminology.

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Page 1: Control Function Block Diagrams - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/Lecture1EGR386.pdf · Control Function Block Diagrams EGR386 8/26/2011. Block diagram: terminology.

Control

Function Block Diagrams

EGR 386

8/26/2011

Page 2: Control Function Block Diagrams - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/Lecture1EGR386.pdf · Control Function Block Diagrams EGR386 8/26/2011. Block diagram: terminology.

Block diagram: terminology

Page 3: Control Function Block Diagrams - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/Lecture1EGR386.pdf · Control Function Block Diagrams EGR386 8/26/2011. Block diagram: terminology.

Feedback Basic Terminology• Process: system or central component whose output is to be

controlled

• Actuator: Device that can influence the process and change the process output

• Plant: Combination of Plant and Actuator

• Controller (or compensator): Device that computes the control signal/variable : Combination of Comparator and Compensator

• Senor: Provides an electrical output proportional to variable to be measuredmeasured

• Reference: the desired value for the output of a system, sometimes called Reference Input or Input or Set point

• Output: the process variable of a system to be controlled

• Comparator: Computes the difference between Reference and Output

• Transfer Function: function when multiplied by an Input provides an Output for the component or system being modeled (usually thought of in terms of Laplace transforms for continuous systems)

Page 4: Control Function Block Diagrams - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/Lecture1EGR386.pdf · Control Function Block Diagrams EGR386 8/26/2011. Block diagram: terminology.

Temperature Control Function Block

Diagram: Open Loop System

Desired

Input T

Disturbance

Heat flow

in/out QDist

Compensator

TActual

OutputQIn Plant

dV/dt

Actuator

RoomInput

TemperatureFuel

Flow Control

TSET

TActualFurnace

dV/dt

Fuel

Rate

Page 5: Control Function Block Diagrams - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/Lecture1EGR386.pdf · Control Function Block Diagrams EGR386 8/26/2011. Block diagram: terminology.

Reference

Input

TempTSET

Error

Disturbance

Heat flow

in/out QDist

TActual

Temperature Control Function Block

Diagram: Closed-Loop Continuous System

OutputQIndV/dt

Compensator Actuator

RoomTSET

TMeasured

+_

ErrorTActual

Temperature

Sensor

Fuel

Flow Control

Furnace

dV/dt

Fuel

Rate

Page 6: Control Function Block Diagrams - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/Lecture1EGR386.pdf · Control Function Block Diagrams EGR386 8/26/2011. Block diagram: terminology.

Function block diagram of a room temperature control system, digital output

Room temperature and furnace output vs. time

Page 7: Control Function Block Diagrams - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/Lecture1EGR386.pdf · Control Function Block Diagrams EGR386 8/26/2011. Block diagram: terminology.

Plant and Controller• Plant ~= Actuator + Process

• Controller ~= Comparator + Compensator

Disturbance

Plant Controller

Room

Reference

Input

TempTSET

TMeasured

+_

Error

Disturbance

Heat flow

in/out QDist

TActual

Temperature

Sensor

Output

Fuel

Flow Control

QIn

Furnace

dV/dt

Fuel

Rate

Compensator Actuator

Page 8: Control Function Block Diagrams - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/Lecture1EGR386.pdf · Control Function Block Diagrams EGR386 8/26/2011. Block diagram: terminology.

Why is feedback needed?

• Disturbances ( weather changes for example)

• Unmodeled plant or actuator characteristics

• Changes plant or actuator

Page 9: Control Function Block Diagrams - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/Lecture1EGR386.pdf · Control Function Block Diagrams EGR386 8/26/2011. Block diagram: terminology.

What is required to control a system

Open Loop? • Compensator + Actuator

• Model of system response to control input

What additional is required to control

a system via feedback control? a system via feedback control?

• Output sensor

• Comparator

Page 10: Control Function Block Diagrams - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/Lecture1EGR386.pdf · Control Function Block Diagrams EGR386 8/26/2011. Block diagram: terminology.

Modeling of Systems

• Needed to design an appropriate compensator

(whether feedback is used or not)

• Characterize the system performance or best

possible performancepossible performance

Page 11: Control Function Block Diagrams - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/Lecture1EGR386.pdf · Control Function Block Diagrams EGR386 8/26/2011. Block diagram: terminology.

Modeling: Dynamic Models

Page 12: Control Function Block Diagrams - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/Lecture1EGR386.pdf · Control Function Block Diagrams EGR386 8/26/2011. Block diagram: terminology.

Mechanical Systems: Car Suspension

Page 13: Control Function Block Diagrams - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/Lecture1EGR386.pdf · Control Function Block Diagrams EGR386 8/26/2011. Block diagram: terminology.

Electro/Mech. Systems : Disk Drive

Page 14: Control Function Block Diagrams - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/Lecture1EGR386.pdf · Control Function Block Diagrams EGR386 8/26/2011. Block diagram: terminology.

Segway

Page 15: Control Function Block Diagrams - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/Lecture1EGR386.pdf · Control Function Block Diagrams EGR386 8/26/2011. Block diagram: terminology.

Electronic circuits

Page 16: Control Function Block Diagrams - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/Lecture1EGR386.pdf · Control Function Block Diagrams EGR386 8/26/2011. Block diagram: terminology.

DC Motor

Page 17: Control Function Block Diagrams - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/Lecture1EGR386.pdf · Control Function Block Diagrams EGR386 8/26/2011. Block diagram: terminology.

DC motor

• (a) electric circuit of the armature;

• (b) free-body diagram of the rotor

Page 18: Control Function Block Diagrams - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/Lecture1EGR386.pdf · Control Function Block Diagrams EGR386 8/26/2011. Block diagram: terminology.

Fluid systems

Page 19: Control Function Block Diagrams - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/Lecture1EGR386.pdf · Control Function Block Diagrams EGR386 8/26/2011. Block diagram: terminology.

Thermal Systems (heat transfer)

Page 20: Control Function Block Diagrams - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/Lecture1EGR386.pdf · Control Function Block Diagrams EGR386 8/26/2011. Block diagram: terminology.

Steam Engine + Control

Page 21: Control Function Block Diagrams - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/Lecture1EGR386.pdf · Control Function Block Diagrams EGR386 8/26/2011. Block diagram: terminology.

Operating parts of a fly-ball governor