Title: LEGO Mindstorms NXT
1LEGO Mindstorms NXT
SOURCES
Carnegie Mellon Gabriel J. Ferrer Dacta Lego Timo
thy Friez Miha Å tajdohar Anjum Gupta Group
Roanne Manzano Eric Tsai Jacob Robison
2Introductory 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
3Beginning activities
- Bridge
- Tower
- LEGO Man
- Organizing Pieces
- Naming Pieces
- Programming Robot People
- Robots by instructions
4Teaching 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
5Project 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
6First 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
7First 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
8Project 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
9Second 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
10Project 3
11Line 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
12The 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
13Different control algorithms for different lines
(large and thin line)
14Different control algorithms for 1 and 3 sensors
15The 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
16The 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
17Educational 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
18The Challenges
19Project 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
20Pen-Drawer Robot
21Pen-Drawer Robot
22Project 5 Finding objects (1)
- Finding objects
- Light sensor
- Find a line
- Sonar sensor
- Find an object
- Find free space
23Fourth 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
24Fourth 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
25Light Sensor/Sonar Robot
26Other 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
27Robot Forklift
28Gearing the motors
29Project 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
30Fuzzy 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
31Fuzzy 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
32Defuzzification
- 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
33Project 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
34Q-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
35Calculating the State (Motors)
- For each motor
- 100 power
- 93.75 power
- 87.5 power
- Six motor states
36Calculating 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
37Action 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
38Action 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
39Calculating Reward
- No disparity gt highest value
- Reward decreases with increasing disparity
40Updating Q-values
- QoldStateaction
- QoldStateaction
- learningRate
- (reward discount maxQ(currentState) -
QoldStateaction)
41Student Exercises
- Assess performance of wheel-balancer
- Experiment with different constants
- Learning rate
- Discount
- Epsilon
- Alternative reward function
- Based on change in disparity
42Learning 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
43Other classroom possibilities
- Operating systems
- Inspect, document, and modify firmware
- Programming languages
- Develop interpreters/compilers
- NBC an excellent target language
- Supplementary labs for CS1/CS2
44Project 8. Sumo and similar fighting competitions
45The 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
46Drag 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
47Sprint Rally
- Cross the table and return, attempting to stay
within the designated path. - Challenging programming
- Possibly uses sensors
- Teaches precision, programming logic, prediction
48Sumo-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
49Sumo-Remote
- Uses another RCX or tethered sensors to control
- Do not use Mindstorms remote
- Like BattleBots
- Still requires programming
- Driver skill is a factor
50Other 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
51Final 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
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