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Table of Contents
Tutorial
This is a draft version.
Vocabulary
Before we dive into this tutorial, lets define a few words. I tried to use commonly used vocabulary, and hope I did understand them correclty. Feel free to contact me if you find mistakes.
- IK: Inverse Kinematic
Tutorial 1
Files for this tutorial are available in py4bot/examples/tutorial_1/
Py4bot is just a framework, so it is up to you to write the application matching your robot. But don't worry, it is very easy.
As Py4bot has a nice 3D simulation engine, based on VPython, for this example, we are going to setup an application for a simulated 3DoF hexapod.
All usefull classes are available from the api.py module. So, we just have to import things from here. Let's create a hexapod.py file to put our code, and import what we are going to use in this tutorial:
# -*- coding: utf-8 -*- from py4bot.api import *
Now, let's create the robot! A multi-legs robot is mainly build from a body, and several legs. In most cases, the defaut body provided by Py4bot is OK, but in any case, we need to create legs.
The second thing we also need to create is an actuator pool, which contains all legs joints, in order to move them syncrhonized. In our example, joints are standard (virtual) servos. So, here is what the main robot class looks like:
import settings class Hexapod(Robot): def _createLegs(self): legs = {} legIk = {} for legIndex in settings.LEGS_INDEX: legs[legIndex] = Leg3Dof(legIndex, {'coxa': Coxa(), 'femur': Femur(), 'tibia': Tibia()}) legIk[legIndex] = Leg3DofIk(settings.LEGS_GEOMETRY[legIndex]) return legs, legIk def _createActuatorPool(self): driver = VPython3Dof(settings.LEGS_INDEX, settings.LEGS_GEOMETRY, settings.LEGS_ORIGIN, settings.LEGS_ACTUATORS_MAPPING) pool = ActuatorPool(driver) for leg in self._legs.values(): # Create joints actuators num = settings.LEGS_ACTUATORS_MAPPING[leg.index]['coxa'] actuator = Actuator(leg.coxa, num) pool.add(actuator) num = settings.LEGS_ACTUATORS_MAPPING[leg.index]['femur'] actuator = Actuator(leg.femur, num) pool.add(actuator) num = settings.LEGS_ACTUATORS_MAPPING[leg.index]['tibia'] actuator = Actuator(leg.tibia, num) pool.add(actuator) return pool
As you can see, we just implemented 2 virtual methods, _createLegs() and _createActuatorPool().
Also note that we used some values from the settings.py module. This module is just a simple way to centralise the configuration of our hexapod.
For now, it should contain something like:
# -*- coding: utf-8 -*- from py4bot.common import config # Legs index LEGS_INDEX = ('RF', 'RM', 'RR', 'LR', 'LM', 'LF') # Legs geometry LEGS_GEOMETRY = { 'RM': {'coxa': 25, 'femur': 45, 'tibia': 65}, 'RF': {'coxa': 25, 'femur': 45, 'tibia': 65}, 'LF': {'coxa': 25, 'femur': 45, 'tibia': 65}, 'LM': {'coxa': 25, 'femur': 45, 'tibia': 65}, 'LR': {'coxa': 25, 'femur': 45, 'tibia': 65}, 'RR': {'coxa': 25, 'femur': 45, 'tibia': 65} } # Legs origin LEGS_ORIGIN = { 'RM': {'x': 50., 'y': 0., 'gamma0' : 0.}, 'RF': {'x': 35., 'y': 80., 'gamma0' : 30.}, 'LF': {'x': -35., 'y': 80., 'gamma0' : 150.}, 'LM': {'x': -50., 'y': 0., 'gamma0' : 180.}, 'LR': {'x': -35., 'y': -80., 'gamma0' : 210.}, 'RR': {'x': 35., 'y': -80., 'gamma0' : 330.}, } config.initOrigin(LEGS_INDEX, LEGS_ORIGIN) # Legs (feet) neutral position (femur horizontal, tibia vertical) LEGS_NEUTRAL = { 'RM': { 'l': LEGS_GEOMETRY['RM']['coxa'] + LEGS_GEOMETRY['RM']['femur'], 'z': LEGS_GEOMETRY['RM']['tibia'] }, 'RF': { 'l': LEGS_GEOMETRY['RF']['coxa'] + LEGS_GEOMETRY['RF']['femur'], 'z': LEGS_GEOMETRY['RF']['tibia'] }, 'LF': { 'l': LEGS_GEOMETRY['LF']['coxa'] + LEGS_GEOMETRY['LF']['femur'], 'z': LEGS_GEOMETRY['LF']['tibia'] }, 'LM': { 'l': LEGS_GEOMETRY['LM']['coxa'] + LEGS_GEOMETRY['LM']['femur'], 'z': LEGS_GEOMETRY['LM']['tibia'] }, 'LR': { 'l': LEGS_GEOMETRY['LR']['coxa'] + LEGS_GEOMETRY['LR']['femur'], 'z': LEGS_GEOMETRY['LR']['tibia'] }, 'RR': { 'l': LEGS_GEOMETRY['RR']['coxa'] + LEGS_GEOMETRY['RR']['femur'], 'z': LEGS_GEOMETRY['RR']['tibia'] } } config.initNeutral(LEGS_INDEX, LEGS_NEUTRAL) # Legs / actuators mapping LEGS_ACTUATORS_MAPPING = { 'RF': {'coxa': 0, 'femur': 1, 'tibia': 2}, 'RM': {'coxa': 4, 'femur': 5, 'tibia': 6}, 'RR': {'coxa': 8, 'femur': 9, 'tibia': 10}, 'LR': {'coxa': 15, 'femur': 14, 'tibia': 13}, 'LM': {'coxa': 19, 'femur': 18, 'tibia': 17}, 'LF': {'coxa': 23, 'femur': 22, 'tibia': 21} }
Some of these values seem obvious, some don't; we'll discuss all this later.
Now, let's create our robot. Still in hexapod.py, add:
def main(): robot = Hexapod()
The main interrest of a multi-legs robot is to make it walk! But by default, the Robot class does not know any gait, so, we have to teach it how to actually walk.
Again, as Py4bot is a framework, it comes with some pre-defined gaits. So, all we have to do is to tell our robot which gaits to use (at least one), and give some params:
gait = GaitRiple("riple", settings.GAIT_LEGS_GROUPS, settings.GAIT_PARAMS)
GaitManager().add(gait)
Let's see what wee need to add in the settings.py module:
# Gaits GAIT_LEGS_GROUPS = (('RR',), ('LM',), ('RF',), ('LR',), ('RM',), ('LF',)) GAIT_PARAMS = { 'length': 40., 'angle': 10., 'height': 30., 'minLength': 4., 'minAngle': 2., 'speedMin': 50., 'speedMax': 300. }
Final steps are: launch the gait sequencer, move a little bit the body position, ask the robot to start walking, and run the robot main loop:
GaitSequencer().start()
robot.setBodyPosition(z=-30)
GaitSequencer().walk(0.75, 90., 0., 1)
robot.mainLoop(5)
GaitSequencer().walkStop()
time.sleep(5)
GaitSequencer().stop()
GaitSequencer().join()
if __name__ == "__main__":
main()
You should then see the robot walking for a few seconds:
Settings
Let's discuss about settings used in the previous part. See the FAQ for the Body/legs geometry conventions used.
LEGS_INDEX = ('RF', 'RM', 'RR', 'LR', 'LM', 'LF')
LEGS_INDEX contains the names used to define legs; they can be freely chosen, but these values must be used as keys for other params.
LEGS_GEOMETRY = { 'RM': {'coxa': 25, 'femur': 45, 'tibia': 50}, 'RF': {'coxa': 25, 'femur': 45, 'tibia': 50}, 'LF': {'coxa': 25, 'femur': 45, 'tibia': 50}, 'LM': {'coxa': 25, 'femur': 45, 'tibia': 50}, 'LR': {'coxa': 25, 'femur': 45, 'tibia': 50}, 'RR': {'coxa': 25, 'femur': 45, 'tibia': 50} }
LEGS_GEOMETRY dict contains the lengths of the differents parts of the legs, in mm.
LEGS_ORIGIN = { 'RM': {'x': 50., 'y': 0., 'gamma0' : 0.}, 'RF': {'x': 35., 'y': 80., 'gamma0' : 30.}, 'LF': {'x': -35., 'y': 80., 'gamma0' : 150.}, 'LM': {'x': -50., 'y': 0., 'gamma0' : 180.}, 'LR': {'x': -35., 'y': -80., 'gamma0' : 210.}, 'RR': {'x': 35., 'y': -80., 'gamma0' : 330.}, } config.initOrigin(LEGS_INDEX, LEGS_ORIGIN)
LEGS_ORIGIN dict contains the positions and orientation of the origin of the legs: (x, y) defines the center of rotation of coxa joint, and gamma0 is the angle of the legs at neutral position.
Note that we need to call the initOrigin() function of the config.py module, in order to initialize internal configuration (some matrix are defined, in order to avoid further maths).
LEGS_NEUTRAL = { 'RM': { 'l': LEGS_GEOMETRY['RM']['coxa'] + LEGS_GEOMETRY['RM']['femur'], 'z': LEGS_GEOMETRY['RM']['tibia'] }, 'RF': { 'l': LEGS_GEOMETRY['RF']['coxa'] + LEGS_GEOMETRY['RF']['femur'], 'z': LEGS_GEOMETRY['RF']['tibia'] }, 'LF': { 'l': LEGS_GEOMETRY['LF']['coxa'] + LEGS_GEOMETRY['LF']['femur'], 'z': LEGS_GEOMETRY['LF']['tibia'] }, 'LM': { 'l': LEGS_GEOMETRY['LM']['coxa'] + LEGS_GEOMETRY['LM']['femur'], 'z': LEGS_GEOMETRY['LM']['tibia'] }, 'LR': { 'l': LEGS_GEOMETRY['LR']['coxa'] + LEGS_GEOMETRY['LR']['femur'], 'z': LEGS_GEOMETRY['LR']['tibia'] }, 'RR': { 'l': LEGS_GEOMETRY['RR']['coxa'] + LEGS_GEOMETRY['RR']['femur'], 'z': LEGS_GEOMETRY['RR']['tibia'] } } config.initNeutral(LEGS_INDEX, LEGS_NEUTRAL)
LEGS_NEUTRAL dict contains the
Here too, we need to call the initNeutral() function of the config.py module, in order to initialize internal configuration.
LEGS_ACTUATORS_MAPPING = { 'RF': {'coxa': 0, 'femur': 1, 'tibia': 2}, 'RM': {'coxa': 4, 'femur': 5, 'tibia': 6}, 'RR': {'coxa': 8, 'femur': 9, 'tibia': 10}, 'LR': {'coxa': 15, 'femur': 14, 'tibia': 13}, 'LM': {'coxa': 19, 'femur': 18, 'tibia': 17}, 'LF': {'coxa': 23, 'femur': 22, 'tibia': 21} }
LEGS_ACTUATORS_MAPPING dict contains a table to map all joints to actuators nums.
GAIT_LEGS_GROUPS = (('RR',), ('LM',), ('RF',), ('LR',), ('RM',), ('LF',))
GAIT_LEGS_GROUPS contains the legs grouped together and controlled at the same time during the gait usage.
In this example, the riple gait is made of 6 groups of 1 legs.
Note that we need to define sequences, so don't forget the comma to define a tuple with a unique element.
GAIT_PARAMS = { 'length': 40., 'angle': 10., 'height': 30., 'minLength': 4., 'minAngle': 2., 'speedMin': 50., 'speedMax': 300. }
GAIT_PARAMS contains some additional gaits params:
lengthis the distance each leg will move for an entire cycle when the robot translate;angleis the angle each leg will turn for an entire cycle when the robot rotate;minLengthis the minimum translating length, even when speed is very low;minAnglesame as above for angle;speedMin,speedMaxare the range for speed.
These values must be adjusted for each robot, to avoid legs collisions.
Tutorial 2
Files for this tutorial are available in py4bot/examples/tutorial_2/
In this tutorial, we are just going to add a remote control in order to drive our previous simulated robot.
Let's use an old gamepad, a Thrustmaster Firestorm Dual Analog 3. As I own such gamepad, I already added support in Py4bot.
Add the following code between the Hexapod class, and the main() function:
class Gamepad(RemoteControl): def _createFrontend(self): return FrontendFactory().create("thrustmaster", path="/dev/input/by-id/usb-Mega_World_Thrustmaster_dual_analog_3.2-event-joystick") def _buildComponents(self): self._addComponent(Joystick, command=GaitSequencer().walk, keys=("analog_02", "analog_03", "analog_00"), mapper=MapperWalk()) self._addComponent(Button, command=GaitSequencer().walkStop, key="button_000") self._addComponent(Button, command=GaitSequencer().walkStep, key="button_003") self._addComponent(Button, command=self.robot.incBodyPosition, key="button_004", mapper=MapperSetValue(dz=+5)) self._addComponent(Button, command=self.robot.incBodyPosition, key="button_005", mapper=MapperSetValue(dz=-5))
Then, modify the main.py function as following:
def main(): robot = Hexapod() gait = GaitRiple("riple", settings.GAIT_LEGS_GROUPS, settings.GAIT_PARAMS) GaitManager().add(gait) remote = Gamepad(robot) GaitSequencer().start() remote.start() robot.setBodyPosition(z=-30) robot.mainLoop() remote.stop() remote.join() GaitSequencer().stop() GaitSequencer().join()
See documentation for a full description of the controllers implementation.
Tutorial 3
Files for this tutorial are available in py4bot/examples/tutorial_3/
Ok, a simulated robot is cool, but a real one is much more fun!
Let's say that you built you own cool 3DoF hexapod, like one of these:
and let's say you want to use a Veyron servos driver as low-level hardware driver.
Here is the new Hexapod class:
import settings class Hexapod(Robot): def _createLegs(self): legs = {} legIk = {} for legIndex in settings.LEGS_INDEX: legs[legIndex] = Leg3Dof(legIndex, {'coxa': Coxa(), 'femur': Femur(), 'tibia': Tibia()}) legIk[legIndex] = Leg3DofIk(settings.LEGS_GEOMETRY[legIndex]) return legs, legIk def _createActuatorPool(self): driver = Veyron() pool = ServoPool(driver) for leg in self._legs.values(): # Create joints servos num = settings.LEGS_SERVOS_MAPPING[leg.index]['coxa'] servo = Servo(leg.coxa, num, **settings.SERVOS_CALIBRATION[num]) pool.add(servo) num = settings.LEGS_SERVOS_MAPPING[leg.index]['femur'] servo = Servo(leg.femur, num, **settings.SERVOS_CALIBRATION[num]) pool.add(servo) num = settings.LEGS_SERVOS_MAPPING[leg.index]['tibia'] servo = Servo(leg.tibia, num, **settings.SERVOS_CALIBRATION[num]) pool.add(servo) return pool
In addition, we must modify/add a few things in the settings.py module:
# Legs / servos mapping LEGS_SERVOS_MAPPING = { 'RF': {'coxa': 0, 'femur': 1, 'tibia': 2}, 'RM': {'coxa': 4, 'femur': 5, 'tibia': 6}, 'RR': {'coxa': 8, 'femur': 9, 'tibia': 10}, 'LR': {'coxa': 15, 'femur': 14, 'tibia': 13}, 'LM': {'coxa': 19, 'femur': 18, 'tibia': 17}, 'LF': {'coxa': 23, 'femur': 22, 'tibia': 21} } SERVOS_CALIBRATION = { 0: {'offset': 0., 'pulse90': 1500, 'ratio': 1000/90.}, # coxa leg RF 1: {'offset': -90., 'pulse90': 1500, 'ratio': 1000/90.}, # femur leg RF 2: {'offset': 0., 'pulse90': 1500, 'ratio': 1000/90.}, # tibia leg RF 4: {'offset': 0., 'pulse90': 1500, 'ratio': 1000/90.}, # coxa leg RM 5: {'offset': -90., 'pulse90': 1500, 'ratio': 1000/90.}, # femur leg RM 6: {'offset': 0., 'pulse90': 1500, 'ratio': 1000/90.}, # tibia leg RM 8: {'offset': 0., 'pulse90': 1500, 'ratio': 1000/90.}, # coxa leg RR 9: {'offset': -90., 'pulse90': 1500, 'ratio': 1000/90.}, # femur leg RR 10: {'offset': 0., 'pulse90': 1500, 'ratio': 1000/90.}, # tibia leg RR 15: {'offset': 0., 'pulse90': 1500, 'ratio': 1000/90.}, # coxa leg LR 14: {'offset': -90., 'pulse90': 1500, 'ratio': 1000/90.}, # femur leg LR 13: {'offset': 0., 'pulse90': 1500, 'ratio': 1000/90.}, # tibia leg LR 19: {'offset': 0., 'pulse90': 1505, 'ratio': 1000/90.}, # coxa leg LM 18: {'offset': -90., 'pulse90': 1500, 'ratio': 1000/90.}, # femur leg LM 17: {'offset': 0., 'pulse90': 1500, 'ratio': 1000/90.}, # tibia leg LM 23: {'offset': 0., 'pulse90': 1500, 'ratio': 1000/90.}, # coxa leg LF 22: {'offset': -90., 'pulse90': 1500, 'ratio': 1000/90.}, # femur leg LF 21: {'offset': 0., 'pulse90': 1500, 'ratio': 1000/90.}, # tibia leg LF }
TBC
Settings
In this tutorial, we just renamed LEGS_ACTUATOR_MAPPING to LEGS_SERVOS_MAPPING, and added the SERVOS_CALIBRATION dict, which contains:
offsetis the angle between the servo reference and the real angle. See the FAQ for the real angles definition;pulse90is the pulse value for the neutral position of the servo, which is usually 90°;ratiois the pulse width per degree.
Offsets may vary, depending how you mount the servos. Same, ratio sign may have to be inverted on one side, if you have a symetrical design; all angle are always computed using trigonometric direction (CCW).
See the FAQ to fine tune servos calibration.
Conclusion
Thanks for reading these tutorials! This is the first working dev. release; there are many additional things to do, and final implementation may change, according to feedback/suggestions I will get. But the core is there. Again, the goal of this framework is to provide a high level tool to build complete and powerfull applications to control you multi-legs robots.
Have a look at py4bot/examples/cronos, which contain the code for my 4DoF hexapod, and closely follow Py4bot devs.
