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Chapter 10. Manual Control

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Chapter 10. Manual Control OVERVIEW the analog form or the time-space trajectory of the response the domain of continuous control human performance in manual control – PowerPoint PPT presentation

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Title: Chapter 10. Manual Control


1
Chapter 10. Manual Control
  • OVERVIEW
  • the analog form or the time-space trajectory of
    the response the domain of continuous control
  • human performance in manual control
  • skills approach
  • primarily involves analog motor behavior, in
    which the operator must produce or reproduce a
    movement pattern from memory with little
    environmental uncertainty
  • with little environmental uncertainty, skills in
    theory may be performed perfectly and identically
    from trial to trial
  • open-loop control because once the skill has
    developed there is little need to process the
    visual feedback from the response
  • focuses on skill acquisition and practice
  • dynamic systems
  • examines human abilities in controlling or
    tracking dynamic system to conform with certain
    time-space trajectories in the face of
    environmental uncertainty
  • because of the need to process error signals ?
    closed-loop control
  • focuses on mathematical representations of the
    humans analog response when processing
    uncertainty
  • generally addresses the behavior of the
    well-trained operator

2
  • OPEN-LOOP MOTOR SKILLS
  • Discrete Movement Time
  • Fitts Law
  • when movement amplitude (A) and target width (W)
    were varied, their joint effects were summarized
    by a simple equation (Fig 10.1 Fig 10.2)
  • speed-accuracy trade-off in movement movement
    time and accuracy reciprocally related
  • index of difficulty (ID) of the movement
  • higher b indicates less efficient movements, a
    reflects the start-up time for a movement
  • Models of Discrete Movement
  • typical trajectory or time history as the stylus
    approaches the target (speed-accuracy tradeoff)
  • an exponential approach to the target with an
    initial high-velocity approach(initial ballistic)
    followed by a smooth, final, homing phase
    (current control)
  • velocity profile ? control is not continuous but
    discrete corrections, acceleration and
    deceleration
  • feedback processing assumption (Fig 10.3)
    sample-and-correct process until the target
    boundary is crossed closed loop behavior --
    generally exponential approach
  • Motor Schema
  • with highly learned skills under minimal
    environmental uncertainty, visual feedback is not
    necessary ? open-loop fashion ? visual feedback
    may be harmful

3
  • general characteristics of well-learned motor
    skills
  • they may well depend on feedback, but the
    feedback is proprioceptive
  • the patterns of desired muscular innervation may
    be stored centrally in LTM and executed as an
    open-loop motor program without visual feedback
    correction or guidance
  • motor program and motor schema
  • highly overlearned skills that do not depend on
    guidance from visual feedback
  • low attention demand, single-response selection,
    and consistency of outcome
  • Low Attention Demand
  • the motor program tends to be automated
  • Single-Response Selection
  • single-response selection required to activate or
    load a single motor program even with a number
    of separate, discrete responses ? resources are
    demanded only once, at the point of initiation,
    when the program is selected
  • Consistency of Outcome Programs Versus Schemata
  • a motor program is assumed to generate very
    consistent space-time trajectories from one
    replication to another ? what is consistent is
    not the process of muscular innervation but the
    product of response ? signature of ones name
    meets the criteria of motor program
  • certain characteristics of the time-space
    trajectories remained invariant ? whatever is
    learned and stored in LTM cannot be a specific
    set of muscle commands but must represent a more
    generic or general set of specifications of how
    to reach the desired goal motor schema
  • once a schema is selected, the process of loading
    requires the specific instance parameters to be
    specified to meet the immediate goals at hand

4
  • TRACKING OF DYNAMIC SYSTEMS
  • when describing human operator control of
    physical systems, research moves from the domain
    of perceptual motor skills and motor behavior to
    the more engineering domain of tracking
  • this shift in domain from three nonhuman elements
    on the performance
  • the dynamics of the system itself
  • the input to the operator
  • the display
  • The Tracking Loop Basic Elements (Fig 10.4)
  • control dynamic the relationship between the
    force, f(t), applied and the steering wheel
    movement, u(t)
  • system dynamic the relationship between control
    position, u(t) and system response, o(t)
  • error sources
  • command inputs, ic(t) changes in the target to
    be tracked
  • disturbance inputs, id(t) applied directly to
    the system
  • input (Fig 10.5) may be transient or continuous
    (predictable, periodic, random)
  • display the source of all information necessary
    to implement the corrective response
  • pursuit display independent movement of both
    the target and the cursor
  • compensatory display only movement of the error
    relative to a fixed 0-error reference
  • tracking performance in terms of error

5
  • Transfer Functions
  • the mathematical relationship between the input
    and the output of a system (Fig 10.6)
  • Pure Gain -- (the output)/(the input) -- low-gain
    system sluggish
  • Pure Time Delay transmission lag
  • delays the input but reproduce it in identical
    form T seconds later
  • no effect on gain, nor does gain have any effect
    on time delay
  • Experimental Lag
  • gradually home in or stabilize on the target
    input
  • defined by time constant Ti the time the output
    reach 63 of its final value
  • Velocity-Control, Integrator, or First-Order
    System
  • constant velocity, time integral of the output
  • closely related to exponential lag
  • Acceleration-Control, Double-Integrator, or
    Second-Order System
  • combines two integrators in series constant
    acceleration
  • unstable, or difficult to control inertia
  • Differentiator
  • minus-first-order produce an output position of
    a value equal to the rate of change of the input
  • theoretically step response is a spike
  • Frequency-Domain Response

6
  • Human Operator Limits in Tracking
  • Processing Time
  • effective time delay perceived error translated
    by operator after a lag
  • zero and first-order system 150 to 300 msec
    second-order 400 to 500 msec
  • time delays due to human processing or system lag
    are harmful to tracking (Fig 10.7)
  • any lag will cause output to no longer line up
    with input
  • with periodic or random inputs, delay produce
    instability, oscillatory behavior
  • Bandwidth
  • tracking involves the transmission of information
    common or disturbance-induces error
  • the limit of information transmission in tracking
    is between 4 to 10 bits/sec (preview)
  • frequency limit determines the maximum bandwidth
    of random inputs -- 0.5 to 1.0 Hz
  • max. frequency with which corrections are exerted
    in tracking 2times/sec
  • Prediction and Anticipation
  • must anticipate future errors on the basis of
    present values to make control correction after a
    considerable lag
  • Processing resources
  • difficulty in anticipation related to the
    resource demands of spatial working memory
  • mental model of the systems dynamics ? working
    memory ? disrupted by concurrent tasks
  • Compatibility
  • tracking is primarily a spatial task -- spatial
    compatibility affects tracking performance

7
  • Effect of System Dynamics on Tracking Performance
  • Gain
  • U-shaped function of system gain (system output /
    control input)
  • intermediate gain the lowest error and easiest
    to track
  • high gain
  • minimal control effort to produce large
    corrections
  • overcorrections and oscillations
  • instability resulted in lags in system
  • optimal gain the crossover point of the
    instability at high gain and effort at low gain
  • Time Delay
  • pure time delay harmful in tracking
  • worse tacking performance with greater delays
  • System Order
  • zero-order and first order roughly equivalent
    successful tracking requires position and
    velocity to be matched (Fig 10.8) economy of
    movement and space
  • the orders above first error and subjective
    workload increase dramatically
  • second order control unequivocally worse
  • generating lead higher order derivatives be
    perceived as a basis for correction
  • ? longer effective time delay ? increased lag ?
    respond smoothly
  • bang-bang double impulse or time-optimal
    control optimal control (Fig 10.9)

8
  • Instability
  • oscillatory and unstable behavior
  • positive feedback systems
  • once an error is in existence, feedback works to
    add the error in the same direction
  • negative feedback systems
  • more typical
  • humans and systems function to reduce rather than
    increase detected error
  • high gain and long phase lag instability
  • Tracking Displays
  • Preview
  • command input and system output determine the
    future error
  • the future input will be most accurately
    available when there is preview it enables the
    operator to compensate for processing lags in the
    tracking loop
  • no preview predict the future course of the
    input (Fig 10.10)
  • precognition mode the input is nonrandom or
    contains periodicities easier prediction
  • Output Prediction and Quickening
  • output prediction a combination of its present
    position and its higher derivatives ? displays in
    which a computer estimates error derivatives and
    future position ? predictive display
  • (Fig 10.11 Fig 10.12)
  • accuracy of any prediction sluggishness
    (inertia) of the system and the frequency of
    control or disturbance inputs

9
  • quickening where the system error likely to be
    in the future if is not controlled --no
    indication of current error because current error
    provides no information that is useful for
    correction
  • Pursuit Versus Compensatory Displays
  • the goal of tracking to match the output to the
    input, or minimize error
  • pursuit display views the command input and the
    system output moving separately
  • generally superior performance to compensatory
    one for two major reasons -- ambiguity of
    compensatory information and the compatibility of
    pursuit displays
  • cannot distinguish among the three potential
    causes of error command input, disturbance
    input, and the operators own incorrect control
    actions -- error is ambiguous and control is more
    difficult
  • a changing command input advantage with greater
    S-R compatibility compensatory display
  • CONTROL DEVICES
  • the light pen, touch screen, trackball, mouse,
    cursor keys, or joysticks
  • implication of different control devices for
    simple positioning tasks, characterized by
    Fittss law
  • Manual Control
  • manual control devices anthropometric and
    biomechanical factors
  • The Speed-Accuracy Trade-off
  • direct point devices (light pen or touch screen)
    -- very rapid but less accurate than indirect
    devices (mouse)
  • the slope of the Fittss law the overall
    effectiveness of a control device, (lower,
    better)
  • the slope by the mouse lower than other control
    devices

10
  • Control Order Compatibility
  • most control devices displacement produce a
    constant displacement (zero-order) or constant
    rate of movement (first-order) of the cursors
    across the screen
  • only the light pen and touch screen must be
    zero-order controllers
  • natural affinities or compatibilities mice
    for zero-order control dynamics, and joysticks
    for first-order control dynamics
  • mouse
  • best captures the natural eye-hand coordination
  • the optimal gain is between one and three the
    cursor should travel between one and three times
    the distance traveled by the hand
  • if first-order control abandons the natural
    eye-hand coordination and the zero-velocity
    resting place
  • spring-loaded joysticks
  • spring loading maximize proprioceptive and
    kinesthetic feedback
  • natural resting state by snap back
    automatically recovered
  • problems as a zero-order device the lack of
    precision with which any position off of the
    center can be maintained, lack of available
    movement range

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