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Using Lego Mindstorms NXT in the Classroom Gabriel J. Ferrer Hendrix College ferrer@hendrix.edu http://ozark.hendrix.edu/~ferrer/
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Outline NXT capabilities Software development options Introductory programming projects Advanced programming projects
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Purchasing NXT Kits Two options (same price; $250/kit) –Standard commercial kit –Lego Education kit http://www.lego.com/eng/education/mindstorms/ Advantages of education kit –Includes rechargeable battery ($50 value) –Plastic box superior to cardboard –Extra touch sensor (2 total) Standard commercial kit –Includes NXT-G visual language
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NXT Brick Features 64K RAM, 256K Flash 32-bit ARM7 microcontroller 100 x 64 pixel LCD graphical display Sound channel with 8-bit resolution Bluetooth radio Stores multiple programs –Programs selectable using buttons
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Sensors and Motors Four sensor ports –Sonar –Sound –Light –Touch Three motor ports –Each motor includes rotation counter
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Touch Sensors Education kit includes two sensors Much more robust than old RCX touch sensors
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Light Sensor Reports light intensity as percentage Two modes –Active –Passive Practical uses –Identify intensity on paper –Identify lit objects in dark room –Detect shadows
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Sound Sensor Analogous to light sensor –Reports intensity –Reputed to identify tones I haven’t experimented with this Practical uses –“Clap” to signal robot
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Ultrasonic (Sonar) Sensor Reports distances –Range: about 5 cm to 250 cm –In practice: Longer distances result in more missed “pings” Mostly reliable –Occasionally gets “stuck” –Moving to a new location helps in receiving a sonar “ping”
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Motors Configured in terms of percentage of available power Built-in rotation sensors –360 counts/rotation
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Software development options Onboard programs –RobotC –leJOS –NXC/NBC Remote control –iCommand –NXT_Python
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RobotC Commercially supported –http://www.robotc.net/ Not entirely free of bugs Poor static type checking Nice IDE Custom firmware Costly –$50 single license –$250/12 classroom computers
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Example RobotC Program void forward() { motor[motorA] = 100; motor[motorB] = 100; } void spin() { motor[motorA] = 100; motor[motorB] = -100; }
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Example RobotC Program task main() { SensorType[S4] = sensorSONAR; forward(); while(true) { if (SensorValue[S4] < 25) spin(); else forward(); }
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leJOS Implementation of JVM for NXT Reasonably functional –Threads –Some data structures –Garbage collection added (January 2008) –Eclipse plug-in just released (March 2008) Custom firmware Freely available –http://lejos.sourceforge.net/
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Example leJOS Program sonar = new UltrasonicSensor(SensorPort.S4); Motor.A.forward(); Motor.B.forward(); while (true) { if (sonar.getDistance() < 25) { Motor.A.forward(); Motor.B.backward(); } else { Motor.A.forward(); Motor.B.forward(); }
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Event-driven Control in leJOS The Behavior interface –boolean takeControl() –void action() –void suppress() Arbitrator class –Constructor gets an array of Behavior objects takeControl() checked for highest index first –start() method begins event loop
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Event-driven example class Go implements Behavior { private Ultrasonic sonar = new Ultrasonic(SensorPort.S4); public boolean takeControl() { return sonar.getDistance() > 25; }
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Event-driven example public void action() { Motor.A.forward(); Motor.B.forward(); } public void suppress() { Motor.A.stop(); Motor.B.stop(); }
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Event-driven example class Spin implements Behavior { private Ultrasonic sonar = new Ultrasonic(SensorPort.S4); public boolean takeControl() { return sonar.getDistance() <= 25; }
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Event-driven example public void action() { Motor.A.forward(); Motor.B.backward(); } public void suppress() { Motor.A.stop(); Motor.B.stop(); }
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Event-driven example public class FindFreespace { public static void main(String[] a) { Behavior[] b = new Behavior[] {new Go(), new Stop()}; Arbitrator arb = new Arbitrator(b); arb.start(); }
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NXC/NBC NBC (NXT Byte Codes) –Assembly-like language with libraries –http://bricxcc.sourceforge.net/nbc/ NXC (Not eXactly C) –Built upon NBC –Successor to NQC project for RCX Compatible with standard firmware –http://mindstorms.lego.com/Support/Updates/
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iCommand Java program runs on host computer Controls NXT via Bluetooth Same API as leJOS –Originally developed as an interim project while leJOS NXT was under development –http://lejos.sourceforge.net/ Big problems with latency –Each Bluetooth transmission: 30 ms –Sonar alone requires three transmissions –Decent program: 1-2 Hz
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NXT_Python Remote control via Python –http://home.comcast.net/~dplau/nxt_python/http://home.comcast.net/~dplau/nxt_python/ Similar pros/cons with iCommand
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Developing a Remote Control API Bluetooth library for Java –http://code.google.com/p/bluecove/http://code.google.com/p/bluecove/ Opening a Bluetooth connection –Typical address: 00:16:53:02:e5:75 Bluetooth URL –btspp://00165302e575:1; authenticate=false;encrypt=false
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Opening the Connection import javax.microedition.io.*; import java.io.*; StreamConnection con = (StreamConnection) Connector.open(“btspp:…”); InputStream is = con.openInputStream(); OutputStream os = con.openOutputStream();
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NXT Protocol Key files to read from iCommand: –NXTCommand.java –NXTProtocol.java
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An Interesting Possibility Programmable cell phones with cameras are available Camera-equipped cell phone could provide computer vision for the NXT
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Introductory programming projects Developed for a zero-prerequisite course Most students are not CS majors 4 hours per week –2 meeting times –2 hours each Not much work outside of class –Lab reports –Essays
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First Project (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
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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
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First Project (3) Combine infinite loops with conditionals Enables programming of alternating behaviors –Front touch sensor hit => go backward –Back touch sensor hit => go forward
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Second Project (1) Physics of rotational motion Introduction of the rotation sensors –Built into the motors Balance wheel power –If left counts < right counts Increase left wheel power Race through obstacle course
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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"); }
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Third Project 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”) –Arguably excessive
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Pen-Drawer Robot
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Fourth Project (1) Finding objects Light sensor –Find a line Sonar sensor –Find an object –Find freespace
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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
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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
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Light Sensor/Sonar Robot
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Other Projects “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
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Robot Forklift
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Gearing the motors
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Advanced programming projects From a 300-level AI course Fuzzy logic Reinforcement learning
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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
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Fuzzy Rules for Balancing Rotation Counts Inference rules: –biasRight => leftSlow –biasLeft => rightSlow –biasNone => leftFast –biasNone => rightFast Inference is trivial for this case –Fuzzy membership/defuzzification is more interesting
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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
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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
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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
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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
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Calculating the State (Motors) For each motor: –100% power –93.75% power –87.5% power Six motor states
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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
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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
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Action Selection Determine whether action is random –Determined with probability epsilon If random: – Select uniformly from action set If not: –Visit each array entry for the current state –Select action with maximum Q-value from current state
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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
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Calculating Reward No disparity => highest value Reward decreases with increasing disparity
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Updating Q-values Q[oldState][action] = Q[oldState][action] + learningRate * (reward + discount * maxQ(currentState) - Q[oldState][action])
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Student Exercises Assess performance of wheel-balancer Experiment with different constants –Learning rate –Discount –Epsilon Alternative reward function –Based on change in disparity
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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
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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
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Thanks for attending! Slides available on-line: –http://ozark.hendrix.edu/~ferrer/presentations/http://ozark.hendrix.edu/~ferrer/presentations/ Currently writing lab textbook –Introductory and advanced exercises ferrer@hendrix.edu
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