Examples of recent results in lossless convexification

This repository implements the following papers.

@ARTICLE{2019arXiv191109013M,
       author = {{Malyuta}, Danylo and {Acikmese}, Behcet},
        title = "{Lossless Convexification of Optimal Control Problems with Semi-continuous Inputs}",
      journal = {arXiv e-prints},
         year = "2019",
        month = "Nov",
        pages = {arXiv:1911.09013}
}

@ARTICLE{2019arXiv190202726M,
       author = {{Malyuta}, Danylo and {Szmuk}, Michael and {Acikmese}, Behcet},
        title = "{Lossless convexification of non-convex optimal control problems with disjoint semi-continuous inputs}",
      journal = {arXiv e-prints},
         year = "2019",
        month = "Feb",
        pages = {arXiv:1902.02726}
}

Installation

To run the code, you must have Python 2.7.15 and Gurobi 8.1 installed. To install Python and other dependenies (except Gurobi) on Ubuntu, we recommend that you install Anaconda for Python 2.7 and then execute (from inside this repository's directory):

$ conda create -n lcvx python=2.7 anaconda # Answer yes to everything
$ source activate lcvx
$ pip install -r requirements.txt
$ source activate lcvx

Examples

1. Satellite docking to a rotating space station. The actuators are 12 reaction control system (RCS) jets of which up to 4 can be fired simultaneously

2. Rocket landing with a two-mode thruster: a high-thrust low-gimbal mode and a low-thrust high-gimbal mode.