# Driving Mecanum Wheels Omnidirectional Robots

See how to build an omnidirectional robot with just two Roboteq dual channel DC motor controllers to independently drive four mecanum wheels. The two controllers operate as a single four channel drive over a CAN network.

Download the PDF Application Note

## View Demo Video

Scaled up version of the robot described in this article: Helicopter-carrying omnidirectional tug. Video courtesy of Tiger Tugs.

Mecanum drive is a type of holonomic drive base; meaning that it applies the force of the wheel at a 45° angle to the robot instead of on one of its axes. By applying the force at an angle to the robot, you can vary the magnitude of the force vectors to gain translational control of the robot; In plain English, the robot can move in any direction while keeping the front of the robot in a constant compass direction. The figure below shows the motions that can be achieved for various combination of wheel rotation.

## Control Algorithm

To get the most out of a mecanum drive system you will need to have the following information available to control it:

- Desired Angle – What angle the robot needs to translate at
- Desired Magnitude – What speed the robot must move at
- Desired Rotation – How quickly to change the direction the robot faces

Using that information the voltage multipliers for each wheel (numbers shown in Figure) can be calculated using the formulas found in the following Equations.

## Implementation Using Roboteq Controllers

Mecanum Drive can very easily be implemented using Roboteq controllers thanks to two of our product's major features:

## Networkability using CAN bus

Since each wheel must be driven independently, two dual channel controllers - or in the case of a very large robot, four single channel controllers - must be used. With CAN, the two or four controllers will operate as a single four-channel drive. For this example, two dual channel controllers are used, one serving as the master and the second as the slave. The RoboCAN protocol is used over CANbus for its great ease of use and flexibility.

## Microbasic Scripting

The controller's scripting language is powerful enough to resolve the four equation, in addition to capturing and translating the joystick commands. The script is running in the master controller. New mathematic and trigonometric functions (sqrt, sin, cos and atan) have been added to the language (firmware version 1.6 and above) in order to simplify the algorithm implementation. The script's flow chart is as follows. The script source is provided at the end of this Application Note and can be downloaded from www.roboteq.com

## Performance and Scalability

This architecture and script was successfully tested on a small mecanum platform using two dual-channel SDC2130 controllers. The motors were not equipped with encoders and where therefore operated in open loop. The robot responded to commands from a RC radio using a miniature Spektrum receiver. As expected, the robot can indeed be moved in all directions and orientations in a very intuitive manner with just an X-Y joystick to control de displacement direction and speed, and a second joystick to control the rotation.

This demonstrator can be scaled practically without modification to very large chassis capable of carrying heavy loads, and/or moving at higher speed. Only larger motors and controllers would be needed. Operating in closed loop will bring added precision to the motion.

## Script Source

The source code below is written in Roboteq's MicroBasic language and runs inside the motor controller to perform the AGV functionality described in this application note.

option explicit

' Mecanum drive demonstrator

' Script is written for use in SDC2130 but will work on any other model by changing where commented.

' Script must be loaded and executed in controller that will serve as Master on a RoboCAN network.

' Second dual channel controller will act a Slave. Master node id=1, Slave node id=2

' Script is provided for demonstration purposes, as-is without warranty.

dim VD as integer ' Desired Robot Speed

dim ThetaD as integer ' Desired Angle

dim VTheta as integer ' Desired Rotation Speed

dim ThetaD45 as integer ' Desire Angle + 45o

' Previous values for change detection

dim PrevVD as integer ' Desired Robot Speed

dim PrevThetaD as integer ' Desired Angle

dim PrevVTheta as integer ' Desired Rotation Speed

dim V1 as integer ' Front Left motor

dim V2 as integer ' Front Right motor

dim V3 as integer ' Rear Left motor

dim V4 as integer ' Rear Right motor

dim LR as integer ' Left/Right Command

dim FR as integer ' Forward/Reverse Command

dim CCW as integer ' Rotation command

dim RadioVD as integer ' VD from joystick

dim RadioTh as integer ' Theta from joystick

dim CANAlive as integer ' Alive Robocan nodes

Top:

' Use code below to accept commands via RS232 or USB

' Send commands with !VAR nn value

' VAR 1 contains motion speed, +/-1000 range

' VAR 2 contains motion direction, 0-360 degree range

' VAR 3 contains rotation speed, +/-1000 range

'VD = getvalue(_VAR, 1)

'ThetaD = getvalue(_VAR, 2)

'VTheta = getvalue(_VAR, 3)

' Capture joystick value

' Code below is for use on SDC21300 with Specktrum Radio enabled.

' Change to _PI to capture from standard RC Radio

LR = getvalue(_K, 2) ' X of X-Y joystick

FR = getvalue(_K, 3)

CCW = getvalue(_K, 4)

' Read list of alive RoboCAN nodes

CANAlive = getvalue(_CL, 1)

' Check if Radio is on and Slave is present

if(LR = 0 or FR = 0 or CCW = 0 or CANAlive <> 273)

V1 = 0

V2 = 0

V3 = 0

V4 = 0

goto ApplyCommand ' Stop all motors if no radio or no slave

end if

' Centered joystick = 500. Substract offset to convert to 0 to +/-1000

' Change code below to adapt to other radio than spektrum

if LR < 500

LR = (LR - 500) * 2 ' Multipy by 2 to bring closer to +/-1000

if LR > 0 then LR = 0

elseif LR > 530

LR = (LR - 530) * 2

if LR < 0 then LR = 0

else

LR = 0

end if

LR = -LR

if FR < 500

FR = (FR - 500) * 2

if FR > 0 then FR = 0

elseif FR > 530

FR = (FR - 530) * 2

if FR < 0 then FR = 0

else

FR = 0

end if

if CCW < 500

CCW = (CCW - 500) * 2

if CCW > 0 then CCW = 0

elseif CCW > 530

CCW = (CCW - 530) * 2

if CCW < 0 then CCW = 0

else

CCW = 0

end if

' Compute distance of joystick from center position in any direction

RadioVD = (sqrt(LR * LR + FR * FR)) / 1000 ' sqrt returns result * 1000

' Compute angle of X-Y

if FR <> 0

RadioTh = (atan(LR * 1000/FR)) / 10 ' atan takes input * 1000 and returns angle in degrees * 10

if LR >= 0 and FR < 0

RadioTh += 180

elseif LR < 0 and FR < 0

RadioTh -= 180

end if

elseif LR >0

RadioTh = 90

elseif LR <0

RadioTh = -90

else

RadioTh = 0

end if

VD = RadioVD

ThetaD = RadioTh

VTheta = -CCW

' Uncomment below to check captured values in console

'print (LR, "\t", FR, "\t", RadioVD, "\t", RadioTh, "\r")

' To avoid unnecessary computation, evaluate formulas only if change occurred

if (VD <> PrevVD or ThetaD <> PrevThetaD or VTheta <> PrevVTheta)

ThetaD45 = ThetaD + 45 ' compute once angle + 45 for use in the 4 equations

V1 = (VD * sin(ThetaD45))/1000 + VTheta ' sin takes degrees and returns result * 1000

V2 = (VD * cos(ThetaD45))/1000 - VTheta

V3 = (VD * cos(ThetaD45))/1000 + VTheta

V4 = (VD * sin(ThetaD45))/1000 - VTheta

' Uncomment below to view computed speeds in console

'print (V1,"\t",V2,"\t",V3,"\t",V4,"\r")

end if

' Save for detecting change at next loop execution

PrevVD = VD

PrevThetaD = ThetaD

PrevVTheta = VTheta

ApplyCommand:

' Apply to local motors

SetCommand(_G, 1, V1)

SetCommand(_G, 2, V2)

' Send command to Slave, node 2 on RoboCAN network

SetCANCommand(2, _G, 1, V3)

SetCANCommand(2, _G, 2, V4)

wait(10) ' Repeat loop every 10ms / 100Hz

goto top

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