A Python description of the Kinematic Bicycle Model with an animated example.

Overview

Kinematic Bicycle Model

Total alerts Language grade: Python

Abstract

A python library for the Kinematic Bicycle model. The Kinematic Bicycle is a compromise between the non-linear and linear bicycle models for high-speed integration of the library with little configuration.

At initialisation
:param wheelbase:       (float) vehicle's wheelbase [m]
:param max_steer:       (float) vehicle's steering limits [rad]
:param dt:              (float) discrete time period [s]
:param c_r:             (float) vehicle's coefficient of resistance 
:param c_a:             (float) vehicle's aerodynamic coefficient

At every time step  
:param x:               (float) vehicle's x-coordinate [m]
:param y:               (float) vehicle's y-coordinate [m]
:param yaw:             (float) vehicle's heading [rad]
:param velocity:        (float) vehicle's velocity in the x-axis [m/s]
:param throttle:        (float) vehicle's accleration [m/s^2]
:param delta:           (float) vehicle's steering angle [rad]

:return x:              (float) vehicle's x-coordinate [m]
:return y:              (float) vehicle's y-coordinate [m]
:return yaw:            (float) vehicle's heading [rad]
:return velocity:       (float) vehicle's velocity in the x-axis [m/s]
:return delta:          (float) vehicle's steering angle [rad]
:return omega:          (float) vehicle's angular velocity [rad/s]

Advantages

  • The model allows the vehicle to come to rest without passing the model a negative acceleration; similar to the non-linear bicycle.
  • This lightweight model is able to accurately represent a vehicle with no slip or tire stiffness.

Limitations

Just like with all other bicycle models, this model is a discrete model and loses its accuracy when the time step is set too large or the vehicle is made to travel at unreasonably high speeds. Usually, the FPS of the simulation should be set to the highest possible value for the greatest accuracy. However, for rendering high-quality GIFs, 50 FPS is found to be most optimal.

Requirements

pip install numpy

Demo

Install the requirements

pip install -r requirements.txt

Play the animation

python animation.py

Concept

To simplify the equations, we perform all calculations from the rear axle.

Owner
Winston H.
I have no idea what I am doing.
Winston H.
A simple library for implementing common design patterns.

PyPattyrn from pypattyrn.creational.singleton import Singleton class DummyClass(object, metaclass=Singleton): # DummyClass is now a Singleton!

1.7k Jan 01, 2023
Leveraging Unique CPS Properties to Design Better Privacy-Enhancing Algorithms

Differential_Privacy_CPS Python implementation of the research paper Leveraging Unique CPS Properties to Design Better Privacy-Enhancing Algorithms Re

Shubhesh Anand 2 Dec 14, 2022
Python based framework providing a simple and intuitive framework for algorithmic trading

Harvest is a Python based framework providing a simple and intuitive framework for algorithmic trading. Visit Harvest's website for details, tutorials

100 Jan 03, 2023
causal-learn: Causal Discovery for Python

causal-learn: Causal Discovery for Python Causal-learn is a python package for causal discovery that implements both classical and state-of-the-art ca

589 Dec 29, 2022
Algorithms and utilities for SAR sensors

WARNING: THIS CODE IS NOT READY FOR USE Sarsen Algorithms and utilities for SAR sensors Objectives Be faster and simpler than ESA SNAP and cloud nativ

B-Open 201 Dec 27, 2022
Algorithmic virtual trading using the neostox platform

Documentation Neostox doesnt have an API Support, so this is a little selenium code to automate strategies How to use Clone this repository and then m

Abhishek Mittal 3 Jul 20, 2022
CLI Eight Puzzle mini-game featuring BFS, DFS, Greedy and A* searches as solver algorithms.

🕹 Eight Puzzle CLI Jogo do quebra-cabeças de 8 peças em linha de comando desenvolvido para a disciplina de Inteligência Artificial. Escrito em python

Lucas Nakahara 1 Jun 30, 2021
SortingAlgorithmVisualization - A place for me to learn about sorting algorithms

SortingAlgorithmVisualization A place for me to learn about sorting algorithms.

1 Jan 15, 2022
marching rectangles algorithm in python with clean code.

Marching Rectangles marching rectangles algorithm in python with clean code. Tools Python 3 EasyDraw Creators Mohammad Dori Run the Code Installation

Mohammad Dori 3 Jul 15, 2022
A command line tool for memorizing algorithms in Python by typing them.

Algo Drills A command line tool for memorizing algorithms in Python by typing them. In alpha and things will change. How it works Type out an algorith

Travis Jungroth 43 Dec 02, 2022
It is a platform that implements some path planning algorithms.

PathPlanningAlgorithms It is a platform that implements some path planning algorithms. Main dependence: python3.7, opencv4.1.1.26 (for image show) Tip

5 Feb 24, 2022
Algorithm and Structured Programming course project for the first semester of the Internet Systems course at IFPB

Algorithm and Structured Programming course project for the first semester of the Internet Systems course at IFPB

Gabriel Macaúbas 3 May 21, 2022
A collection of design patterns/idioms in Python

python-patterns A collection of design patterns and idioms in Python. Current Patterns Creational Patterns: Pattern Description abstract_factory use a

Sakis Kasampalis 36.2k Jan 05, 2023
FLIght SCheduling OPTimization - a simple optimization library for flight scheduling and related problems in the discrete domain

Fliscopt FLIght SCheduling OPTimization 🛫 or fliscopt is a simple optimization library for flight scheduling and related problems in the discrete dom

33 Dec 17, 2022
Zipline, a Pythonic Algorithmic Trading Library

Zipline, a Pythonic Algorithmic Trading Library

Stefan Jansen 463 Jan 08, 2023
Greedy Algorithm-Problem Solving

MAX-MIN-Hackrrank-Python-Solution Greedy Algorithm-Problem Solving You will be given a list of integers, , and a single integer . You must create an a

Mahesh Nagargoje 3 Jul 13, 2021
implementation of the KNN algorithm on crab biometrics dataset for CS16

crab-knn implementation of the KNN algorithm in Python applied to biometrics data of purple rock crabs (leptograpsus variegatus) to classify the sex o

Andrew W. Chen 1 Nov 18, 2021
A selection of a few algorithms used to sort or search an array

Sort and search algorithms This repository has some common search / sort algorithms written in python, I also included the pseudocode of each algorith

0 Apr 02, 2022
This project is an implementation of a simple K-means algorithm

Simple-Kmeans-Clustering-Algorithm Abstract K-means is a centroid-based algorithm, or a distance-based algorithm, where we calculate the distances to

Saman Khamesian 7 Aug 09, 2022