BrickEngineer: LEGO Design

LEGO Engineering for LEGO NXT and Robot Enthusiasts

KnuthLab LEGO Exploration Rover


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Image of KnuthLab Exploration Rover

KnuthLab Exploration Rover with Researchers A. Fischer and N. Malakar

The Knuth Cyberphysics Laboratory in the University at Albany Physics Department has developed the KnuthLab LEGO Exploration Rover, which acts as a testbed for robotic intelligence and navigation software. Development of this rover was funded by a NASA SBIR Award (Advanced Bayesian Methods for Lunar Surface Navigation) through Autonomous Exploration Inc. as well as a University at Albany Faculty Research Award (Developing Robotic Explorers, PI: K.H. Knuth).

The LEGO Exploration Rover is powered by six NXT Standard Motors in a Rocker-Bogie suspension system used in all of the NASA Mars rover designs. The rover is approximately 1.5 ft high with a 1 ft x 1.5 ft base. It is larger than the NASA Sojourner Rover, which was part of the Pathfinder Mission to Mars in 1997, and smaller than the Mars Exploration Rovers Spirit and Opportunity. It can safely carry a payload of 8 pounds.

Image of KnuthLab LEGO Exploration Rover

KnuthLab LEGO Exploration Rover


The LEGO Exploration Rover has two laptop bays built into the box-like frame in which it can carry two Asus Eee Laptops for onboard processing. The wheels are controlled by two LEGO NXT bricks, which can communicate with the laptops via Bluetooth. The rocker-bogie suspension and low speed allows it to handle relatively rugged terrain and steep grades.

The white frame mounted on top of the rover is the Bayesian Vision-Based Navigation System being developed by Autonomous Exploration Inc. for NASA.

Check back, as we will be posting videos of its operation and discussing some of the important design features.

Colorful LEGO Storage Ideas

In a previous post, Storing Your LEGO Collection, I discussed various options for storing one’s LEGO collection. Several of these options included tackle boxes since they can hold several utility boxes with adjustable partitions, while providing top bulk storage. I have found them to be quite useful in providing portable storage for small to medium LEGO collections.

Plano has come out with a new line of colorful tackle box designs geared for arts and crafts storage. These are the Creative Options
line of Storage Boxes and Organizers. The color scheme is a avocado green base with a purple lid and gold handles. These storage units are excellent for storing small LEGO collections while providing portability.

Here are some of the available models:

Grab N’ Go Rack System with 2 Deep #2-3630′s and 1 #2-3650 -Avocado Base/Purple Lid/Gold Handle

It comes with Two Deep #2-3630′s and One #2-3650 Prolatch Utility Boxes and Bulk Top Storage. It has dimensions: 13.1 x 9.9 x 13.6 inches

Multi-Craft Rack System

This includes three 2-3650 and two 3449 utility boxes and a compartmentalized top access storage on lid and large bulk storage area. Its dimensions are 17-3/4-Inch (Length) x 9-3/4-Inch (Width) by 11-Inch (Height).

Creative Options Grab & Go Storage Box/Organizer

This includes four #2-3500′s Prolatch Utility Boxes and Bulk Top Storage. ITs dimensions are 11-Inch (Length) by 7-1/4-Inch (Width) by 10-Inch (Height)

Be sure to check out some new ideas at:
New LEGO Storage Opportunities

Interface a Potentiometer to the NXT

NOTE: WE ARE NOT RESPONSIBLE FOR ANY DAMAGE YOU MAY DO TO YOUR NXT BRICK.
THIS EXERCISE PRESUMES SOME WORKING KNOWLEDGE OF ELECTRONICS.

In this exercise, I will walk you through interfacing a potentiometer (variable resistor) to the NXT brick.
You will need:
- A stripped NXT cable
- A potentiometer with a maximum resistance no more than $10 k\Omega$
- A small piece of wire
- An NXT Brick

This exercise is derived and expanded from a chapter in Extreme NXT by Gasperi, Hurbain and Hurbain.

THEORY

The NXT monitors the potential difference between the black and white wires with an Analog-to-Digital (A/D) converter. The A/D converter converts this potential difference to a RAW value between 0 and 1023 (10 bits accuracy). This RAW value is given by the ratio

(1) $RAW = \frac{RAW_{max}}{V_{max}} V_{R} = \frac{1023}{5} V_{R}$

where $RAW_{max}$ is the maximum RAW value of 1023, $V_{max} = 5V$ is the voltage used by the NXT A/D Converter, and $V_{R}$ is the voltage drop between the black and white wires.

The circuit diagram looks like this:

NXT A/D Converter Schematic

I have a little $1k\Omega$ potentiometer that can turn over a range of about $0^{\circ}$ to $270^{\circ}$. Below is a diagram. The resistance between the leftmost and rightmost pins is the maximum resistance of $1k\Omega$. We will focus on the resistance between the leftmost and center pins, which varies based on the angle through which the potentiometer has been rotated. To keep things safe, we wire the center pin and rightmost pin together. This doesn’t affect the potential difference between the leftmost and center pins.

Potentiometer Wiring

I will assume that it is a linear potentiometer (a pretty good assumption), which means that the resistance at any given angle $A$ is given by

(2) $R = \frac{A}{A_{max}} R_{max} = \frac{A}{270} \times 1 k\Omega}$

where $A_{max}$ is the maximum angle of the potentiometer and $R_{max}$ is the $1k\Omega$ maximum resistance.

Equation (2) says that if the angle $A = 0^{\circ}$ then the resistance of the potentiometer $R_{max} = 0 \Omega$, and if the angle $A = 270^{\circ}$ then the resistance of the potentiometer is maximum $R_{max} = 1 k\Omega$.

Looking at the circuit diagram for the A/D converter, the potential drop across our potentiometer (represented by resistor $R$) is given by the typical voltage divider relation

(3) $V_R = \frac{R}{R+R_{int}} V_{max} = \frac{R}{R+10k\Omega} \times 5V$

We can now substitute (2) into (3) so that the voltage between the black and white wires is determined by the angle of the potentiometer rather than its resistance. Then we can substitute the result into (1) to get an equation for the RAW value

(4) $RAW = RAW_{max} \frac{A R_{max}}{A R_{max} + A_{max} R_{int}}$

with my particular values, this is

$RAW  = 1023 \frac{A \times 1 k\Omega}{(A \times 1 k\Omega) + (270 \times 10 k\Omega)}$

This formula will let us predict the NXT RAW value based on the angle of the potentiometer.

For my potentiometer, I find that a maximum angle of $270^{\circ}$ gives me a maximum value of 93. This is less than 7 bits of information, and each RAW value corresponds to $2.9^{\circ}$. If you want a nice angle detector, you will probably need a $10 k\Omega$ potentiometer!

TRY IT

1. Before beginning, you need to cut and strip one of the NXT cables so that you can interface with the wires directly. I have placed a layer of solder on mine, so they can be inserted into a breadboard for easy connecting.

2. Next connect the center and right pins of the potentiometer together with a wire

3. Plug the other end of the NXT cable into the NXT brick.

I wrote a simple NXT-G program to read the sensor and display the RAW value. Notice that the Touch Sensor actually reads the resistance between the wires. So we are just replacing the Touch Sensor with a potentiometer. We will use the raw number output of the Touch Sensor Block, which is represented by the 1010 0101 symbol. We then need to convert it to text so it can be displayed on the NXT LCD panel.

potentio-01.rbt Screenshot

You may download it here,
Potentio-01.rbt
or write your own.

When I try my potentiometer, I find that the RAW value goes from 0 to 95, pretty close to my predicted range of 0 to 93. So it works! Not bad considering I guessed that the potentiometer sweeps through and angle of $270^{\circ}$.


Determining the Angle of the Potentiometer

Now, let’s convert this RAW value to an angle.
In Extreme NXT, the authors worry about the fact that the resulting relationship is nonlinear with respect to the RAW value. As far as I can see, this isn’t a problem. We simply solve (4) above for the angle $A$ in terms of RAW. We can output the angle if we wish, but here I’ll take it a step further and demonstrate the resulting equation by controlling a motor so that it maintains an angle equal to the angle through which I have rotated the potentiometer.

I will leave out the algebra. Try it yourself. Solve (4) for angle A:

(5) $A = \frac{RAW A_{max} R_{int}}{R_{max} (RAW_{max} – RAW)}$

for my potentiometer, this is simply

$A = \frac{2700 RAW}{(1023 – RAW)}$

which is easy to code in NXT-G.
You can download my code here:
Potentio-03.rbt

The motor control is a bit crude, but it works well enough for the demonstration.
Check out the YouTube video to see it in action!

Enjoy!

Danny – NXT Matlab Bluetooth Router

Daniele Benedettelli introduces a MATLAB-based NXC Bluetooth Router. This router relies on connecting a master NXT Brick to a computer via USB. This master NXT Brick then can communicate messages to up to three additional slave NXT Bricks up to a distance of 10 meters from the master. This software would allow one to create small swarms of up to three LEGO robots, which is a nice starting point for investigating distributed robotic systems.

MATLAB NXT Bluetooth Router

MATLAB NXT Bluetooth Router

The system relies on the RWTH – MINDSTORMS NXT Toolbox, the NXT Fantom Library, and John Hansen’s enhanced firmware.  The brick software is written in Not eXactly C (NXC), which requires Brick CC 3.3.

Daniele Benedettelli also has a book published titled Creating Cool MINDSTORMS NXT Robots (Technology in Action)

Infrared-Ultrasonic Beacons for Localization

An article at NXTasy.org highlights a three-wheeled robot that moves in one dimension and detects signals from an external beacon that emits ultrasonic bursts.  The robot relies on a microcontroller that runs a Kalman filter to perform and maintain spatial localization.  The NXT software is implemented using the LabVIEW NXT toolkit

NXT Reciever with Kalman Filter

NXT Reciever with Kalman Filter

Details on the project can be found at http://www.convict.lu/htm/rob/ir_us.htm#Kalman

MATLAB Packages for the NXT

There are now several MATLAB packages for robotics, and specifically for the NXT.  One paradigm is to run the code on a PC and have it communicate direct commands to the NXT Brick via Bluetooth or USB.  I have found this paradigm to be a bit dangerous since in the event of a MATLAB crash or a miscommunication, the NXT Brick will continue with its last command until ordered to stop.  This has the potential to destroy your robot.  The paradigm that I prefer to use is to write several programs that run on the brick.  These programs take commands from files on the brick that can be uploaded rapidly from the PC.  The MATLAB code then is in charge of sending the command files and starting and stopping programs.  In the event of a MATLAB crash or communication failure, the software running on the NXT Brick can be designed to terminate gracefully.

Here are the MATLAB packages that I know of.  The first two are specifically geared toward the NXT; whereas the last is a general robotics package.

Knuth: Developing Robotic Scientists for Space Exploration

The University at Albany (SUNY) has highlighted Knuth’s research in a recent news piece.

UAlbany Professor Kevin Knuth with a robot built from LEGOs. (Photo Mark Schmidt)
UAlbany Professor Kevin Knuth with a robot built from LEGOs. (Photo Mark Schmidt)

Kevin Knuth has a laboratory in the physics department of the University at Albany that is filled with LEGOs. The bricks are relatively cheap and can be used to rapidly prototype a robot’s body. Knuth’s robots are being programmed to solve such problems as mapping complex terrain.

At UAlbany Day on Saturday, Oct. 25, he will give a demonstration on Robotics and Robotic Exploration in Life Sciences Room 143 at 10:45 a.m.

More here:

http://www.albany.edu/news/update_4522.shtml

Building instructions for the robot shown in the UAlbany article can be found on Brickengineer.com

Visit Autonomous Exploration News for information on Knuth’s company Autonomous Exploration Inc.

Visit Robots Everywhere for a general blog on robotics news.

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