CS452 - Real-Time Programming - Winter 2016

Lecture 19 - Acceleration/deceleration; Anthropomorphic Programming.

Public Service Annoucements

  1. Exam schedule is out; 12.30, 19 April is the date the registrar gave us. Please bring your exam schedule to class next Monday, 29 February.
  2. You can download data from the terminal, such as the track graph, by putting a file onto the terminal program's output.
  3. You can upload data to the terminal by sending its input to a file.
  4. First Train Control Milestone: Wednesday, 11 March.


Calibration I

1. Calibrating Stopping Distance

2. Calibrating Constant Velocity

To stop the train at any point on the track you must be able to give the stop command anywhere on the track. Knowing where you are when not at a sensor is possible only if you know your velocity.

Calibrating Velocity

An implicit assumption you make is that the future will closely resemble the past.

  1. You measure the time interval between two adjacent sensor reports.
  2. Knowing the distance between the sensors you calculate the velocity of the train Subtraction removes the systematic error.
  3. After many measurements you build a table. At its simplest this table has speed as its key and velocity as its value. A more comprehensive table would have a more complex key.

Using Resources Effectively

The scarce resources

  1. Bandwidth to the train controller
  2. Use of the train itself

How to make the most of them

  1. Squeeze every piece of information out of each measurement. For example
  • Allow the user (you) to adjust parameter values at the terminal. For example, This is a standard technique used, for example, when tuning games.
  • Practical Problems You Have to Solve

    1. The table is too big.
    2. The values you measure vary randomly.

    The values you measure vary systematically

    How Long does it Take to Stop?

    Try the following exercise.

    1. Choose a sensor.
    2. Put the train on a course that will cross the sensor.
    3. Run the train up to a constant speed.
    4. Give the speed zero command at a location that stops the train with its contact on the sensor
    5. Calculate the time between when you gave the command and when the sensor triggered.
    6. Look for regularities.

    3. Calibrating Acceleration and Deceleration: short distances.

    Trains often travel short distance, starting with the train stopped, and finishing with it stopped. When doing so the train spends its whole time either accelerating or decelerating. Your constant speed calibration is useless because the train doesn't travel at constant speed. Similarly your measured stopping distances are not useful.

    Creating a perfect calibration of the train's position while it is accelerating is hard. But there is an easy and precise calibration that covers most of the moves the train makes where you need a good calibration. It's the subject of this section.

    Most of the your train project can get away with ignoring acceleration and deceleration. The one place you can't is when you are doing a short move, giving a speed command followed by a stop command before it gets up to speed. How far will the train go? How long will it be before the train is fully stopped?

    Short moves are common when the train is changing direction, which you need to increase the number of possible paths from one point to another.

    The general idea is to give the train a carefully timed series of commands knowing how far and for how long the train moves during the series of commands.

    A procedure to calibrate short moves.

    Write a small application that performs the following sequence of actions.

    1. Place the train on the track in the sort of location where you expect to make short moves.
    2. Give the train a speed n command, where n is big enough to get the train moving reliably.
    3. Wait t seconds.
    4. Give the train a speed 0 command.
    5. Measure how far the train travelled from its initial location to where it stops.
    6. You how far the train will travel for the chosen values of n and t.
    Experiment with different values of t and n until you have a reasonable set of distances you can travel.

    You now know how far the train moves for a given sequence of commands.

    1. Position the train that distance ahead of a sensor.
    2. Read the time and give a speed n command.
    3. After t seconds give a speed 0 command.
    4. When the train triggers the sensor read the time again.
    The distance between the two readings is the time it takes to make that short move.

    Together with knowing when and where the train will stop if given the speed 0 command when running at a constant velocity, this will provide most projects with all the calibration they need. But you can do better.


    4. Calibrating Acceleration and Deceleration: Doing Better

    At this point you can do most of the things you will want to do for your project. But some things can only be done from a standing stop. It's more elegant to keep the train moving, speeding up and slowing down as required. To do so it's necessary fully to calibrate velocity during the act of accelerating and decelerating. Keeping a train at a pre-determined velocity, for example, requires changing from one speed to another frequently.

    To explain velocity changes we must introduce models. On the track the train has a real location, so many cm past sensor S. In your program the train has a position, so many cm past sensor S'. The model is linked to the real train by the calibration. Neither the number of cm nor even the sensor is necessarily the same in the model and in reality because no calibration is perfect. The performance of a project, such as whether trains collide or not, depends on the difference between the model and reality. The remainder of this section is based on minimizing different measures of discrepancies beteen a model and reality.

    Back to real trains. When you give the train a command to change speed, we know roughly how the velocity changes.

    1. slowly at first
    2. increasing
    3. reaching a maximum, possibly for a non-zero time
    4. decreasing
    5. more and more slowly as the new velocity is approached

    How should we model the process of speed changes?

    The simplest possible model is a step change from the initial velocity to the final velocity. When should the change occur?

    How much does the train in the model fall behind the real train? It depends on what the real train is doing.


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