LEGO Mindstorms NXT

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LEGO Mindstorms NXT

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LEGO Mindstorms NXT SOURCES: Carnegie Mellon Gabriel J. Ferrer Dacta Lego Timothy Friez Miha tajdohar Anjum Gupta Group: Roanne Manzano Eric Tsai Jacob Robison – PowerPoint PPT presentation

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Title: LEGO Mindstorms NXT


1
LEGO Mindstorms NXT
SOURCES
Carnegie Mellon Gabriel J. Ferrer Dacta Lego Timo
thy Friez Miha Štajdohar Anjum Gupta Group
Roanne Manzano Eric Tsai Jacob Robison
2
Introductory programming robotics projects
  • Developed for a zero-prerequisite course
  • Most students are not ECE or CS majors
  • 4 hours per week
  • 2 meeting times
  • 2 hours each
  • Students build robot outside class

3
Beginning activities
  • Bridge
  • Tower
  • LEGO Man
  • Organizing Pieces
  • Naming Pieces
  • Programming Robot People
  • Robots by instructions

4
Teaching Ideas
  • Teach mini-lessons as necessary
  • Gears- Power vs. Speed
  • Transmission of energy/motion
  • Using fasteners
  • Worm Gears
  • Building with bricks vs. building machines

These spin
These dont
5
Project 1 Motors and Sensors (1)
  • Introduce motors
  • Drive with both motors forward for a fixed time
  • Drive with one motor to turn
  • Drive with opposing motors to spin
  • Introduce subroutines
  • Low-level motor commands get tiresome
  • Simple tasks
  • Program a path (using time delays) to drive
    through the doorway

6
First Project (2)
  • Introduce the touch sensor
  • if statements
  • Must touch the sensor at exactly the right time
  • while loops
  • Sensor is constantly monitored
  • Interesting problem
  • Students try to put code in the loop body
  • e.g. set the motor power on each iteration
  • Causes confusion rather than harm

7
First Project (3)
  • Combine infinite loops with conditionals
  • Enables programming of alternating behaviors
  • Front touch sensor hit gt go backward
  • Back touch sensor hit gt go forward
  • Braitenberg vehicles and state-machine based
    robots

8
Project 2 Mobile robot and rotation sensors (1)
  • Physics of rotational motion
  • Introduction of the rotation sensors
  • Built into the motors
  • Balance wheel power
  • If left counts lt right counts
  • Increase left wheel power
  • Race through obstacle course

9
Second Project (2)
  • if (/ Write a condition to put here /)
  • nxtDisplayTextLine(2, "Drifting left")
  • else if (/ Write a condition to put here /)
  • nxtDisplayTextLine(2, "Drifting right")
  • else
  • nxtDisplayTextLine(2, "Not drifting")

Complete this code with various conditions and
various motions
10
Project 3
  • Line Following

11
Line Following
  • Use light sensors to follow a line in the least
    time
  • Design and programming challenge
  • Uses looping or repeating programs
  • Robots appear to be thinking

12
The line following project
  • Objectives
  • Build a mobile robot and program it to follow a
    line
  • Make the robot go as fast as possible
  • Challenges
  • Different lines (large, thin, continuous, with
    gaps, sharp turns, line crossings, etc)
  • Control algorithms for 1, 2 and 3 sensors
  • Real time, changing environment
  • Learning, adaptation
  • Fault tolerance, error recovery

13
Different control algorithms for different lines
(large and thin line)
14
Different control algorithms for 1 and 3 sensors
15
The used techniques and knowledge (1)
  • Real time constraints appear when the robot goes
    as fast as possible
  • Sensor reading and information processing speed
  • Motor-robot inertia, wheel slipping
  • Fault tolerant, error recovery techniques are
    used when
  • Unreliable sensor values
  • Inaccurate surface
  • Loosing the line

16
The used techniques and knowledge (2)
  • Initial calibration and adaptation are used in
    the changing environment
  • Changes in the light intensity of the line (room
    lamps, robot shade, )
  • Batterys charge
  • Learning techniques can be used to determine
  • How fast the robot can go (acceleration on long
    straight lines)
  • How sharply the robot should turn
  • How to avoid endless repetitions

17
Educational benefits of the line following
project
  • Students confronted, used and learned
  • Real time constraints
  • Robust, fault tolerant control algorithms
  • Error recovery techniques
  • Robots learning and adaptation to the changing
    environment

18
The Challenges
19
Project 4 Drawing robot
  • Pen-drawer
  • First project with an effector
  • Builds upon lessons from previous projects
  • Limitations of rotation sensors
  • Slippage problematic
  • Most helpful with a limit switch
  • Shapes (Square, Circle)
  • Word (LEGO

20
Pen-Drawer Robot
21
Pen-Drawer Robot
22
Project 5 Finding objects (1)
  • Finding objects
  • Light sensor
  • Find a line
  • Sonar sensor
  • Find an object
  • Find free space

23
Fourth Project (2)
  • Begin with following a line edge
  • Robot follows a circular track
  • Always turns right when track lost
  • Traversal is one-way
  • Alternative strategy
  • Robot scans both directions when track lost
  • Each pair of scans increases in size

24
Fourth Project (3)
  • Once scanning works, replace light sensor reading
    with sonar reading
  • Scan when distance is short
  • Finds freespace
  • Scan when distance is long
  • Follow a moving object

25
Light Sensor/Sonar Robot
26
Other Projects with mobile robots
  • Theseus
  • Store path (from line following) in an array
  • Backtrack when array fills
  • Robotic forklift
  • Finds, retrieves, delivers an object
  • Perimeter security robot
  • Implemented using RCX
  • 2 light sensors, 2 touch sensors
  • Wall-following robot
  • Build a rotating mount for the sonar
  • Quantum Braitenberg Robots of Arushi Raghuvanshi
  • Maze Robots of Stefan Gebauer and Fuzzy robots of
    Chris Brawn

27
Robot Forklift
28
Gearing the motors
29
Project 6 Fuzzy Logic
  • Implement a fuzzy expert system for the robot to
    perform a task
  • Students given code for using fuzzy logic to
    balance wheel encoder counts
  • Students write fuzzy experts that
  • Avoid an obstacle while wandering
  • Maintain a fixed distance from an object

30
Fuzzy Rules for Balancing Rotation Counts
  • Inference rules
  • biasRight gt leftSlow
  • biasLeft gt rightSlow
  • biasNone gt leftFast
  • biasNone gt rightFast
  • Inference is trivial for this case
  • Fuzzy membership/defuzzification is more
    interesting

31
Fuzzy Membership Functions
  • Disparity leftCount - rightCount
  • biasLeft is
  • 1.0 up to -100
  • Decreases linearly down to 0.0 at 0
  • biasRight is the reverse
  • biasNone is
  • 0.0 up to -50
  • 1.0 at 0
  • falls to 0.0 at 50

32
Defuzzification
  • Use representative values
  • Slow 0
  • Fast 100
  • Left wheel
  • (leftSlow repSlow leftFast repFast) /
    (leftSlow leftFast)
  • Right wheel is symmetric
  • Defuzzified values are motor power levels

33
Project 7. Q-Learning
  • Discrete sets of states and actions
  • States form an N-dimensional array
  • Unfolded into one dimension in practice
  • Individual actions selected on each time step
  • Q-values
  • 2D array (indexed by state and action)
  • Expected rewards for performing actions

Q-values
34
Q-Learning Main Loop
  • Select action
  • Change motor speeds
  • Inspect sensor values
  • Calculate updated state
  • Calculate reward
  • Update Q values
  • Set old state to be the updated state

35
Calculating the State (Motors)
  • For each motor
  • 100 power
  • 93.75 power
  • 87.5 power
  • Six motor states

36
Calculating the State (Sensors)
  • No disparity STRAIGHT
  • Left/Right disparity
  • 1-5 LEFT_1, RIGHT_1
  • 6-12 LEFT_2, RIGHT_2
  • 13 LEFT_3, RIGHT_3
  • Seven total sensor states
  • 63 states overall

37
Action Set for Balancing Rotation Counts
  • MAINTAIN
  • Both motors unchanged
  • UP_LEFT, UP_RIGHT
  • Accelerate motor by one motor state
  • DOWN_LEFT, DOWN_RIGHT
  • Decelerate motor by one motor state
  • Five total actions

38
Action Selection
  • Determine whether action is random
  • Determined with probability epsilon
  • If random
  • Select uniformly from action set
  • If not random
  • Visit each array entry for the current state
  • Select action with maximum Q-value from current
    state

39
Calculating Reward
  • No disparity gt highest value
  • Reward decreases with increasing disparity

40
Updating Q-values
  • QoldStateaction
  • QoldStateaction
  • learningRate
  • (reward discount maxQ(currentState) -
    QoldStateaction)

41
Student Exercises
  • Assess performance of wheel-balancer
  • Experiment with different constants
  • Learning rate
  • Discount
  • Epsilon
  • Alternative reward function
  • Based on change in disparity

42
Learning to Avoid Obstacles
  • Robot equipped with sonar and touch sensor
  • Hitting the touch sensor is penalized
  • Most successful formulation
  • Reward increases with speed
  • Big penalty for touch sensor

43
Other classroom possibilities
  • Operating systems
  • Inspect, document, and modify firmware
  • Programming languages
  • Develop interpreters/compilers
  • NBC an excellent target language
  • Supplementary labs for CS1/CS2

44
Project 8. Sumo and similar fighting competitions
45
The Tug O War
  • Robots pull on opposite ends of a 2 foot string
  • There are limits on mass,motors, and certain
    wheels
  • Teaches integrity, torque, gearing, friction
  • Good challenge for beginners
  • Very little programming

46
Drag Race
  • Least amount of time to cross a set distance
  • Straight, light fast designs
  • Teaches gearing, efficiency
  • Nice contrast to Tug O War
  • Little programming

47
Sprint Rally
  • Cross the table and return, attempting to stay
    within the designated path.
  • Challenging programming
  • Possibly uses sensors
  • Teaches precision, programming logic, prediction

48
Sumo-Autonomous
  • Robots push each other out of the ring
  • A real competition
  • Require light sensors
  • Encourages efficient, robust designs
  • Power isnt everything
  • Designs must predict unknown opponents

49
Sumo-Remote
  • Uses another RCX or tethered sensors to control
  • Do not use Mindstorms remote
  • Like BattleBots
  • Still requires programming
  • Driver skill is a factor

50
Other Challenge Possibilities
  • Weight lifting, obstacle course, tightrope
    walking, soccer, maze navigation, Dancing, golf,
    bipedal locomotion, tractor pull, and many more
  • Cooperative Robots
  • Component Design
  • Time-limited robot design
  • See the website, find more on the internet, or
    create your own
  • Create Specific rules
  • Predict loopholes

51
Final Notes
  • Slides available on-line
  • http//ozark.hendrix.edu/ferrer/presentations/
  • Make sure to check back with www.robotc.net for
    updates and support.
  • Join the robotc.net forums at www.robotc.net/forum
    s
  • www.chiefdelphi.com useful community website
    for getting all other FIRST related questions
    answered
  • Any questions Post to forums, or e-mail me at
    frc-support_at_robotc.net
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