Motion Profiling
Migrated from PythonRobotics
AtsushiSakai/PythonRobotics
Python codes for robotics algorithm.
What is this?
This is a Python code collection of robotics algorithms, especially for autonomous navigation.
Features:
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Easy to read for understanding each algorithm’s basic idea.
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Widely used and practical algorithms are selected.
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Minimum dependency.
See this paper for more details:
Requirements
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Python 3.6.x (2.7 is not supported)
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numpy
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scipy
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matplotlib
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pandas
Documentation
This README only shows some examples of this project.
If you are interested in other examples or mathematical backgrounds of each algorithm,
You can check the full documentation online: https://pythonrobotics.readthedocs.io/
All animation gifs are stored here: AtsushiSakai/PythonRoboticsGifs: Animation gifs of PythonRobotics
Localization
Extended Kalman Filter localization
Documentation: Notebook
Particle filter localization
This is a sensor fusion localization with Particle Filter(PF).
The blue line is true trajectory, the black line is dead reckoning trajectory,
and the red line is estimated trajectory with PF.
It is assumed that the robot can measure a distance from landmarks (RFID).
This measurements are used for PF localization.
Ref:
Histogram filter localization
This is a 2D localization example with Histogram filter.
The red cross is true position, black points are RFID positions.
The blue grid shows a position probability of histogram filter.
In this simulation, x,y are unknown, yaw is known.
The filter integrates speed input and range observations from RFID for localization.
Initial position is not needed.
Ref:
Mapping
Gaussian grid map
This is a 2D Gaussian grid mapping example.
Ray casting grid map
This is a 2D ray casting grid mapping example.
k-means object clustering
This is a 2D object clustering with k-means algorithm.
Rectangle fitting
This is a 2D rectangle fitting for vehicle detection.
SLAM
Simultaneous Localization and Mapping(SLAM) examples
Iterative Closest Point (ICP) Matching
This is a 2D ICP matching example with singular value decomposition.
It can calculate a rotation matrix and a translation vector between points to points.
Ref:
FastSLAM 1.0
This is a feature based SLAM example using FastSLAM 1.0.
The blue line is ground truth, the black line is dead reckoning, the red line is the estimated trajectory with FastSLAM.
The red points are particles of FastSLAM.
Black points are landmarks, blue crosses are estimated landmark positions by FastSLAM.
Ref:
Graph based SLAM
This is a graph based SLAM example.
The blue line is ground truth.
The black line is dead reckoning.
The red line is the estimated trajectory with Graph based SLAM.
The black stars are landmarks for graph edge generation.
Ref:
Path Planning
Dynamic Window Approach
This is a 2D navigation sample code with Dynamic Window Approach.
Grid based search
Dijkstra algorithm
This is a 2D grid based shortest path planning with Dijkstra’s algorithm.
In the animation, cyan points are searched nodes.
A* algorithm
This is a 2D grid based shortest path planning with A star algorithm.
In the animation, cyan points are searched nodes.
Its heuristic is 2D Euclid distance.
Potential Field algorithm
This is a 2D grid based path planning with Potential Field algorithm.
In the animation, the blue heat map shows potential value on each grid.
Ref:
State Lattice Planning
This script is a path planning code with state lattice planning.
This code uses the model predictive trajectory generator to solve boundary problem.
Ref:
Biased polar sampling
Lane sampling
Probabilistic Road-Map (PRM) planning
This PRM planner uses Dijkstra method for graph search.
In the animation, blue points are sampled points,
Cyan crosses means searched points with Dijkstra method,
The red line is the final path of PRM.
Ref:
Rapidly-Exploring Random Trees (RRT)
RRT*
This is a path planning code with RRT*
Black circles are obstacles, green line is a searched tree, red crosses are start and goal positions.
Ref:
RRT* with reeds-sheep path
)
Path planning for a car robot with RRT* and reeds sheep path planner.
LQR-RRT*
This is a path planning simulation with LQR-RRT*.
A double integrator motion model is used for LQR local planner.
Ref:
Quintic polynomials planning
Motion planning with quintic polynomials.
It can calculate 2D path, velocity, and acceleration profile based on quintic polynomials.
Ref:
Reeds Shepp planning
A sample code with Reeds Shepp path planning.
Ref:
LQR based path planning
A sample code using LQR based path planning for double integrator model.
Optimal Trajectory in a Frenet Frame
This is optimal trajectory generation in a Frenet Frame.
The cyan line is the target course and black crosses are obstacles.
The red line is predicted path.
Ref:
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Optimal Trajectory Generation for Dynamic Street Scenarios in a Frenet Frame
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Optimal trajectory generation for dynamic street scenarios in a Frenet Frame
Path Tracking
move to a pose control
This is a simulation of moving to a pose control
Ref:
Stanley control
Path tracking simulation with Stanley steering control and PID speed control.
Ref:
Rear wheel feedback control
Path tracking simulation with rear wheel feedback steering control and PID speed control.
Ref:
Linear–quadratic regulator (LQR) speed and steering control
Path tracking simulation with LQR speed and steering control.
Ref:
Model predictive speed and steering control
Path tracking simulation with iterative linear model predictive speed and steering control.
Ref:
Nonlinear Model predictive control with C-GMRES
A motion planning and path tracking simulation with NMPC of C-GMRES
Ref:
Arm Navigation
N joint arm to point control
N joint arm to a point control simulation.
This is a interactive simulation.
You can set the goal position of the end effector with left-click on the ploting area.
In this simulation N = 10, however, you can change it.
Arm navigation with obstacle avoidance
Arm navigation with obstacle avoidance simulation.
Aerial Navigation
drone 3d trajectory following
This is a 3d trajectory following simulation for a quadrotor.
rocket powered landing
This is a 3d trajectory generation simulation for a rocket powered landing.
Ref:
Bipedal
bipedal planner with inverted pendulum
This is a bipedal planner for modifying footsteps with inverted pendulum.
You can set the footsteps and the planner will modify those automatically.
License
MIT
Use-case
See: users_comments
Contribution
A small PR like bug fix is welcome.
If your PR is merged multiple times, I will add your account to the author list.
Your comment using 
is also welcome.
This is a list: Users comments