towr

A light-weight and extensible C++ library for trajectory optimization for legged robots.

A base-set of variables, costs and constraints that can be combined and extended to formulate trajectory optimization problems for legged systems. These implementations have been used to generate a variety of motions such as monoped hopping, biped walking, or a complete quadruped trotting cycle, while optimizing over the gait and step durations in less than 100ms (paper).

Features:
:heavy_check_mark: Intuitive and efficient formulation of variables, cost and constraints using Eigen.
:heavy_check_mark: ifopt enables using the high-performance solvers Ipopt and Snopt.
:heavy_check_mark: Elegant rviz visualization of motion plans using xpp.
:heavy_check_mark: ROS/catkin integration (optional).
:heavy_check_mark: Light-weight (~6k lines of code) makes it easy to use and extend.

Install • Run • Develop • Contribute • Publications • Authors

Install

The easiest way to install is through the ROS binaries:

sudo apt-get install ros--towr-ros

In case these don't yet exist for your distro, there are two ways to build this code from source:

• Option 1: core library and hopper-example with pure CMake.
• Option 2 (recommended): core library & GUI & ROS-rviz-visualization built with catkin and ROS.

Building with CMake

• Install dependencies CMake, Eigen, Ipopt:

  bash复制

  sudo apt-get install cmake libeigen3-dev coinor-libipopt-dev

  Install ifopt, by cloning the repo and then: cmake .. && make install on your system.

• Build towr:

  bash复制

  git clone https://github.com/ethz-adrl/towr.git && cd towr/towr
  mkdir build && cd build
  cmake .. -DCMAKE_BUILD_TYPE=Release
  make
  sudo make install # copies files in this folder to /usr/local/*
  # sudo xargs rm -desktop-full ros--xpp

• Build workspace:

  bash复制

  cd catkin_workspace/src
  git clone https://github.com/ethz-adrl/ifopt.git
  git clone https://github.com/ethz-adrl/towr.git
  cd ..
  catkin_make_isolated -DCMAKE_BUILD_TYPE=Release # or `catkin build`
  source ./devel_isolated/setup.bash

• Use: Include in your catkin project by adding to your CMakeLists.txt

  cmake复制

  add_compile_options(-std=c++11)
  find_package(catkin COMPONENTS towr) 
  include_directories(${catkin_INCLUDE_DIRS})
  target_link_libraries(foo ${catkin_LIBRARIES})

  Add the following to your package.xml:

  xml复制

  
    towr
  

Run

Launch the program using

roslaunch towr_ros towr_ros.launch  # debug:=true  (to debug with gdb)

Click in the xterm terminal and hit 'o'.

Information about how to tune the paramters can be found here.

Develop

Library overview

• The relevant classes and parameters to build on are collected modules.
• A nice graphical overview as UML can be seen here.
• The doxygen documentation provides helpful information for developers.

Problem formulation

• This code formulates the variables, costs and constraints using ifopt, so it makes sense to briefly familiarize with the syntax using this example.
• A minimal towr example without ROS, formulating a problem for a one-legged hopper, can be seen here and is great starting point.
• We recommend using the ROS infrastructure provided to dynamically visualize, plot and change the problem formulation. To define your own problem using this infrastructure, use this example as a guide.

Add your own variables, costs and constraints

• This library provides a set of variables, costs and constraints to formulate the trajectory optimization problem. An example formulation of how to combine these is given, however, this formulation can probably be improved. To add your own e.g. constraint-set, define a class with it's values and derivatives, and then add it to the formulation nlp.AddConstraintSet(your_custom_constraints); as shown here.

Add your own robot

• Want to add your own robot to towr? Start here.
• To visualize that robot in rviz, see xpp.

Contribute

We love pull request, whether its new constraint formulations, additional robot models, bug fixes, unit tests or updating the documentation. Please have a look at CONTRIBUTING.md for more information.
See here the list of contributors who participated in this project.

Projects using towr

• https://github.com/popi-mkx3/popi_project

Publications

All publications underlying this code can be found here. The core paper is:

@article{winkler18,
  author    = {Winkler, Alexander W and Bellicoso, Dario C and 
               Hutter, Marco and Buchli, Jonas},
  title     = {Gait and Trajectory Optimization for Legged Systems 
               through Phase-based End-Effector Parameterization},
  journal   = {IEEE Robotics and Automation Letters (RA-L)},
  year      = {2018},
  month     = {July},
  pages     = {1560-1567},
  volume    = {3},
  doi       = {10.1109/LRA.2018.2798285},
}

A broader overview of the topic of Trajectory optimization and derivation of the Single-Rigid-Body Dynamics model used in this work: DOI 10.3929/ethz-b-000272432

Authors

Alexander W. Winkler - Initial Work/Maintainer

The work was carried out at the following institutions: