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    CHAPTER 1INTRODUCTION TO CONTROL

    SYSTEMIgnatius Agung Wibowo

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    DEFINITION Control: Regulate, direct or command and ability

    to make something do what you want System: a group of things, pieces of equipment

    that are connected and work together to perform

    certain objective A control system is an interconnection of

    components forming a system configuration that

    will provide a desired system response

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    CONTROL SYSTEM BASIC

    Control system can be described by 3

    components:

    1. Input/ stimulus/ desired response

    2. Control system3. Output/ response/ actual response

    OutputInputControlsystem

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    CONTROL SYSTEM

    OBJECTIVE

    To control the outputs in someprescribed manner by the input through

    the elements of the control system

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    EXAMPLE OF CONTROLSYSTEM

    Controlling the temperature of a furnace

    Input: desired temperature is given by adjusting theopening of the fuel valve

    Control system: Fuel valve, pipes and the furnace

    Output: the actual temperature of the furnace

    Fuel

    Actual Temperature

    Desired Temperature

    Control valve

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    ADVANTAGES OF CONTROLSYSTEM

    Doing tasks which

    are impossible forhuman being tocontrol manually

    Examples: Point a huge

    antenna

    Carry an elevatorand stop at theright floor

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    ADVANTAGES OF CONTROLSYSTEM

    We build control system for 4 primary reasons:

    Power amplification Remote control

    Convenience of input form

    Compensation for disturbances

    All of this primary reason is to make precisioncontrol for a system that impossible forhuman to control manually such as motor

    speed, etc.

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    EXAMPLES Power amplification: rotates a knob can rotate a

    radar antenna Remote control: robot arm can be used to pick

    up material in radioactive environment

    Convenience of input form: by adjusting theposition of thermostat yields a desired thermaloutput in temperature control system

    Compensation for disturbance: In antennapointing system when wind rotates the antennathe system is able to correct it

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    OPEN-LOOP AND CLOSED-LOOPCONTROL SYSTEM

    2 Basic categories of control system:

    1. Open-loop control system

    2. Closed-loop control system

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    OPEN-LOOP CONTROL SYSTEM

    Systems in which the output has no effect on the control

    action are called open-loop control system

    Desiredoutput

    response, rController Controlled

    process

    Output /Controlledvariable, yActuating

    signal, u

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    OPEN-LOOP CONTROL SYSTEM (cont.)

    Open loop control system also can be drawn in the following block

    diagram

    Thus, to each reference input there correspond fixedoperating conditions.

    CONTROLLEROUTPUT

    ELEMENT LOAD

    Outputresponse

    Input signal(reference)

    ACTUATOR

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    EXAMPLE OF OPEN-LOOP CONTROL

    SYSTEM

    1) Antenna pointing system (open loop)

    AMPLIFIER MOTOR

    PowerSupply

    Highpower

    GEARS

    ANTENNA

    O

    Output

    response

    +V

    -V

    0V

    Input

    signal

    Low

    power

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    EXAMPLE OF OPEN-LOOP CONTROL SYSTEM

    (CONT.)

    2. Automatic toaster: the temperature set and toasting aredetermined by a timer

    CONTROLLER

    (TIMER & ON-OFF SWITCH)

    HEATER

    Dial Setting(Desired

    temperature)Actual

    temperature

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    EXAMPLE OF OPEN-LOOP SYSTEM

    (CONT.)

    3 Electronic typewriter

    KEYBOARD(Desired

    character)

    PCONTROLLER

    POWERAMP

    Printwheel

    (Actualcharacter)

    DCMOTOR

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    CLOSED-LOOP SYSTEM

    A closed-loop control system utilizes and additional

    measure of the actual output (feedback signal) tocompare with the desired output response.

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    CLOSED-LOOP SYSTEM (cont.)

    The difference between the desired output response and

    feedback signal is known as actuating error signal The actuating error signal is fed to the controller to

    reduce the error and bring the output of the system to adesired value

    A closed-loop control system is often referred to asfeedback control system.

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    CLOSED-LOOP SYSTEM (cont.)

    Closed loop control system also can be drawn in the

    following block diagram

    CONTROLLEROUTPUT

    ELEMENT LOAD

    Error detector(Comparator/

    Differentiator)

    E

    MEASUREMENTFeedback

    Reference

    signal(R)

    Output(C)

    -

    +

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    EXAMPLE OF CLOSED-LOOP CONTROL

    SYSTEM

    1. Antenna pointing system (closed loop)

    CONTROLLER AMPLIFIER MOTOR

    Feedback

    Errordetector

    Ve = Vi - Vo

    Output

    Input

    (Vi)

    180 0

    +V

    0

    +

    -

    Output

    sensor

    Vo

    180

    +V

    0

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    EXAMPLE OF CLOSED-LOOP SYSTEM

    (CONT.)

    CONTROLLER AMPLIFIER LOAD

    Ve = Vi - Vo

    TACHOMETER

    Small generator

    Reference

    signal(Vi)

    Speed

    MOTOR

    Vo

    Vorpm

    Antenna-

    -

    +

    Speed control block diagram

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    SERVO CONTROL Position control

    When the output variable is mechanical position iscalled servo-mechanism

    Amplifier is called servo amplifier

    Examples of servo-mechanism applications : robotics

    autopilot for an aircraft

    recording devices lathe and milling machines

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    COMPARISON BETWEEN OPEN-LOOP AND

    CLOSED-LOOP CONTROL SYSTEM

    Open-loop system

    The system is simple, makes: its price is cheap

    it is more reliable, and

    it is easy to maintain It is not accurate; accuracy depends on the calibration

    of its elements. If the value of the elements changes,caused by factors like temperature, age, pressure, or

    humidity, then the calibration will change. There is noerror correction by a controller

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    COMPARISON BETWEEN OPEN LOOP

    AND CLOSED LOOP CONTROL SYSTEM(CONT.)

    Open-loop system (cont.):

    It does not experience stability problem.

    Its output response is slow.

    Its controller action does not have any

    relationship with the output.

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    COMPARISON BETWEEN OPEN LOOP

    AND CLOSED LOOP CONTROL SYSTEM(CONT.)

    Closed-loop system

    The system is complex, requires transducerand error detector, makes:

    it is more expensive,

    it is less reliable, and

    it is difficult to maintain.

    The system is very accurate; because there is

    a correcting action by the controller.

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    COMPARISON BETWEEN OPEN LOOP

    AND CLOSED LOOP CONTROL SYSTEM(CONT.)

    Closed-loop system It may experience stability problem, i.e.

    when a positive feedback occurs.

    Its response is fast.

    Its controller action has a relationship withthe output.

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    FEEDBACK AND ITS EFFECTS A system that maintains a relationship between

    the output and some reference input by comparingthem and using the difference as a means ofcontrol is called a feedback control system

    Feedback system = closed loop system

    Feedback effects are: Reduction of system error on system Effect on performance characteristic, such as:

    Stability

    Bandwidth Overall gain

    Impedance Sensitivity

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    CONTROL SYSTEMS CLASSIFICATION

    1. Single-Input-Single-Output (SISO)

    CONTROL SYSTEM

    Input Output

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    CONTROL SYSTEMS CLASSIFICATION

    (CONT.)

    2. Multiple-Input-Multiple-Output (MIMO)

    CONTROL SYSTEM

    Input Output

    .

    .

    .

    .

    .

    .

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    CONTROL SYSTEMS CLASSIFICATION

    (CONT.)

    3. Linear

    Its components show linear characteristics(where superposition theorem may apply)

    4. Non-Linear

    Superposition theorem cannot be used. The

    system is difficult to analyze, there is notheory which can be used for all conditions,e.g. amplifier.

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    CONTROL SYSTEMS CLASSIFICATION

    (CONT.)

    5. Time-Invariant

    The parameters of this control system do notchange with time, e.g. R, L, C.

    6. Time-Variant

    The parameters of this control system change

    with time. It is difficult to analyze, e.g.resistance winding of a DC motor varies whenthe temperature rising, fighter aircraft

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    CONTROL SYSTEMS CLASSIFICATION

    (CONT.)

    7. Analog (Continuous-Time) Control System

    All signals in this system are in the form of analog (continuous)signal

    8. Digital (Discrete-Time) Control System

    In this system a digital computer is used as the controller in thesystem. Any control law can be applied via programming, e.g.

    fly by wire

    DIGITALCOMPUTER D/A

    PLANT

    SENSOR

    Input Output

    A/D

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    CONTROL SYSTEMS CLASSIFICATION

    (CONT.)

    9. Process Control

    Variables which are required to be controlled are temperature,

    pressure, level, flowrate, pH, or viscosity.

    The terminologies are different although the theories are similar.For example reference signal is called set point.

    Valve B

    Level detector

    CONTROLLERSet point

    Control Valve A

    Measured variable

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    CONTROL SYSTEMS CLASSIFICATION

    (CONT.)

    10. Sequential Control

    The operations of this controlsystem are performed in orders

    which are already set before. Forexample in an automatic washing

    machine, the operations of fillingthe tube, washing the clothes,draining the tube, rinsing the

    clothes, and spinning the clothesare already set. Another example is

    the use of PLC (ProgrammableLogic Controller) in control system.

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    CONTROL SYSTEMS CLASSIFICATION

    (CONT.)

    11. Feed Forward Control System

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    CONTROL SYSTEM DESIGN

    Three main objectives of control system

    design are as follows:1.To produce desired transient response

    2.To reduce steady state error

    3.To achieve stability

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    DESIGN PROCESS

    Design of a control system basically follows these 5

    steps:Step 1: Determine physical system andspecification from requirements

    First of all, the design requirements of the systemwhich are desired transient response and steadystate error are determined.

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    DESIGN PROCESS (CONT.)

    Step 2: Functional block diagram and schematic

    Based on the systems requirements, a functionalblock diagram is drawn. Based on the blockdiagram, a schematic of the system is obtained. Thisschematic can be in a form of electrical model,

    mechanical model or both.Step 3 : Mathematical representation

    A mathematical model of the system is obtainedfrom schematic using physical laws such asKirchoff's Voltage Law, Kirchoff's Current Law andNewton's Law

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    DESIGN PROCESS (CONT.)Step 4: Reduction of block diagram

    Initial block diagram might be too complicated.

    Therefore, it is reduced to simple block in order toget simple equations that represent the system

    Step 5: Analyze and design

    Once the simple representation of the system isobtained, it is easier to analyze the system. Thesystem is analyzed to see whether the transient

    response specification, steady state error andstability requirements are met. If the requirementsare not met, then the controller is designed to meetthe specification.