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    Introduction

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    Control

    The word control is usually taken to mean :

    - regulate,- direct,

    - command .

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    Control system

    A control system is an arrangement of

    physical components connected or related

    in such a manner as to command, direct, orregulate itself or another system.

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    Input

    The input is the excitation or command

    applied to a control system.

    Typically from external energy source,

    usually in order to produce a specified

    response from the control system.

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    Output

    The output is the actual response obtained

    from a control system.

    It may or may not be equal to specified

    response implied by the input.

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    In Summary

    Input - Excitation applied to a control systemfrom an external source.

    Output - The response obtained from a system

    Feedback - The output of a system that isreturned to modify the input.

    Error - The difference between the reference

    input and the output.

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    Disturbance in a feedback control

    system

    Disturbance signalis an unwanted extraneous

    inputsignal that affects the systems outputsignal.

    Feedback control can completely or partially

    eliminate the effect of disturbance signal.

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    Negative Feedback Control System

    CONTROLLER

    CONTROLLED

    DEVICE

    FEEDBACK

    ELEMENT

    + ++

    -

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    Terms and Concepts

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    Control system

    A control system is an interconnection of

    components forming a system configuration that

    will provide a desired system response.

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    Two Types of Control Systems

    Open Loop

    No feedback

    Difficult to controloutput with accuracy

    Closed Loop

    Must have feedback

    Must have sensor on output

    Almost always negative

    feedback

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    Open-loop control

    An open-loop control system utilizes an actuating

    device to control the process directly without using

    feedback.

    Must be closely monitored.

    A common example of an open-loop control systemis an electric toaster in the kitchen.

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    Closed-loop control

    A closed-loop control system uses a measurement of

    the output and feedback of this signal to compare itwith the desired output.

    Continually adjusts the process.

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    A person steering an automobile by

    looking at the autos location on theroad and making the appropriate

    adjustments.

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    Manual control system

    Goal: Regulate the level of fluid by adjusting the output valve.

    The input is a reference level of fluid and is memorized by operator.

    The sensor is visual.Operator compares the actual level with the desired level and opens or

    closes the valve ( actuator).

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    The level of fluid in a tank control.

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    The roles of feedback

    Reduce error (eliminating the error)

    Reduce sensitivity or Enhance robustness

    Disturbance rejection or elimination

    Improve dynamic performance or adjust thetransient response (such as reduce time

    constant)

    Benefits:

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    Major Types of Feedback Used

    Position Feedback

    Used when the output is a linear distance orangular measurement.

    Rate & Acceleration Feedback Feeds back rate of motion or rate of change of

    motion (acceleration)

    Motion smoothing

    Uses a electrical/mechanical device call anaccelerometer

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    Control systems are divided into two

    classes:

    a) If the aim is to maintain a physical variable at some fixed valuewhen there are disturbances, this is aregulator.

    Example: speed-control system

    b) The second class is the servomechanism.This is a controlsystem in which a physical variable is required to follow (track)

    some desired time function.Example: an automatic aircraft landing system, or a robot armdesigned to follow a required path in space.

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    Multivariable control system

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    A robot is a computer-controlled

    machine.

    Industrial robotics is a particular

    field of automation in which therobot is designed to substitute

    for human labor.

    The Honda P3 humanoid robot.

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    Automation- The control of a process by automaticmeans.

    Closed-loop feedback control system-

    A system that uses a measurement of the output andcompares it with the desired output.

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    Design-The process of conceiving or inventing the

    forms, parts, and details of a system to achieve aspecified purpose.

    Feedback signal -A measure of the output of thesystem used for feedback to control the system.

    Multivariable control system -A system with morethan one input variable or more than one outputvariable.

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    Negative feedback -The output signal is fed back sothat it subtracts from the input signal. Negativefeedback initiates to maintain or regulate physiological functionswithin a set and narrow range.

    Open-loop control system -A system that utilizes adevice to control the process without usingfeedback.

    Optimization -The adjustment of the parameters toachieve the most favorable or advantageous design.

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    Positive feedback-The output signal is fed back so that

    it adds to the input signal. Positive feedback mechanisms aredesigned to accelerate or enhance the output created by a stimulus thathas already been activated. In positive feedback systems the presence of aproduct (or signal) results in an increase in the production (amplification)

    of that product (or signal).

    Process-The device, plant, or system under control.

    Productivity -The ratio of physical output to physicalinput of an industrial process.

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    Synthesis -The combining of separate elements or

    devices to form a coherent whole.

    System -An interconnection of elements and devices

    for a desired purpose.

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    The Control System Design Process

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    Design is the process of conceiving or inventing

    the forms, parts, and details of a system to

    achieve a specified purpose.

    Engineering design

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    Engineering design

    Trade-off

    The result of making a judgment about how to

    compromise between conflicting criteria.

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    Control system engineers are concerned with

    understanding and controlling segments of their

    environment, often called systems, to provideuseful economic products.

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    Goals

    Twin goals ofunderstanding and controlling are

    complementary because effective systems

    control requires that the systems beunderstood and modeled.

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    Control engineering

    Control engineering is based on the

    foundations of feedback theory and linear

    system analysis, and it integrates the

    concepts of network theory andcommunication theory.

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    Given a process, how to design a feedback

    control system?

    Three steps:

    Modeling. Obtain mathematical description of the systems.

    Analysis. Analyze the properties of the system.

    Design. Given a plant, design a controller based on performance

    specifications.

    The course spans each of these steps in that sequence.

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    The basis for analysis of a system is the

    foundation provided by linear system theory,

    which assumes a cause-effect relationship for

    the components of a system.

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    The design of control systems is a specific example ofengineering design.

    The goal of control engineering design is to obtain the

    configuration, specifications, and identification of the keyparameters of a proposed system to meet an actual need.

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    The design process consists of seven main building blocks, which

    are arrange into three groups:

    1. Establishment of goals and variables to be controlled, anddefinition of specifications against which to measure performance

    2. System definition and modeling

    3. Control system design and integrated system simulation and

    analysis

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    Design 1

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    Design 2

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    Design 3

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    Design examples

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    Rotating disk speed control

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    Step 1. Control goal

    Design a system that will held a rotating disk at a

    constant speed. Ensure that the actual speed ofrotation is within a specified percentage of

    desired speed.

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    Step 2. Variable to be controlled

    Speed of rotation disc

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    Step 3. Control design specification

    Design a system that will ensure that

    the actual speed of rotation is within a

    specified percentage of desired speed.

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    Step 4 Preliminary system configuration

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    Step 4 Preliminary system configuration

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    Step 4 Preliminary system configuration

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    p y y g

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    With precision components, we could expect

    to reduce the error of the feedback system to

    one-hundredth of error of the open-loop system.

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    Insulin delivery system

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    The blood glucose and insulin concentrations for a healthy person.

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    Step 1. Control goal

    Design a system to regulate the blood sugar

    concentration of a diabetic by controlleddispensing of insulin.

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    Step 2. Variable to be controlled

    Blood glucose concentration

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    Step 3. Control design specification

    Provide a blood glucose level for the diabetic

    that closely approximates the glucose level of

    a healthy person.

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    Step 4 Preliminary system configurations

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    Step 4 Preliminary system configurations

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    A drug-delivery system implanted in the body

    uses an open-loop system, since miniaturized

    glucose sensors are not yet available.

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    E 1: Controlling the position of a

    missile launcher from a remotelocation

    C t lli th iti f i il l h f

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    Controlling the position of a missile launcher from a

    remote location

    The input is the desired angular position of themissile launcher,

    The control system consists:

    of potentiometer,

    power amplifier,

    motor,

    gearing between the motor and the missile launcher,

    missile launcher.

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    A position open loop control

    The input is the desired angular position of the missile launcher,

    and the control system consists of potentiometer, power amplifier,motor, gearing between the motor and missile launcher, and missile

    launcher.

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    A position closed loop control

    Should an error exists, it is amplified and applied to a

    motor drive which adjusts the output-shaft position until itagrees with the input-shaft position, and the error is zero.

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    Applications

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    Applications

    Control engineering is not limited to any engineering

    discipline but is equally applicable to:

    aeronautical,chemical,

    mechanical,

    computer science and engineering ,

    civil engineering,

    electrical engineering.

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    Prerequisite by topics

    Knowledge and proficiency in Matlab

    Concept and solution of linear ordinary

    differential equations

    Laplace transform and its applications

    Poles, zeros, transfer functions, frequency

    response, Bode plots

    Vectors and matrices

    Complex numbers