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Path Following Metrics

Description

This is a tool for calculating and plotting the integral absolute cross-track error (IAX) metric for paths in two dimensions.

Citation

@INPROCEEDINGS{TufteAndRambech2026,
  author={Andreas Gudahl Tufte and Alexander Brevad Rambech},
  booktitle={World Congress 2026}, 
  title={The path following evaluation metric IAX: A toolbox for fair comparison across controllers, crafts and conditions}, 
  year={2026},
}

Examples

Provided in our code is a few examples. You can find the underlying data in the data folder.

Remus 100

This is a simulation example of the Remus 100 following a straight line depth path using two different control methods.

Depth tracking

remus depth path

IAE

  • IAE run 1: 167.17570686207148
  • IAE run 2: 160.3756862365071
  • IAE run 3: 177.2129103455127
  • IAE run 4: 190.74477221747378
  • IAE run 5: 212.54095473953026
  • IAE run 6: 209.0230603651244

remus IAE

IAX

  • IAX run 1: 30.482415293568618
  • IAX run 2: 34.48942510140867
  • IAX run 3: 48.301860737637725
  • IAX run 4: 63.04668323898811
  • IAX run 5: 90.07445589918035
  • IAX run 6: 105.49791834067511

remus IAX

AutoNaut

Depth tracking

AutoNaut path

IAE

  • IAE run 1: 164.227824538661
  • IAE run 2: 169.139612201999
  • IAE run 3: 179.817387469234
  • IAE run 4: 244.556319123331
  • IAE run 5: 185.192086626069
  • IAE run 6: 214.396781718436

AutoNaut IAE

IAX

  • IAX run 1: 46.40214250045674
  • IAX run 2: 48.691427222674065
  • IAX run 3: 34.886997015624424
  • IAX run 4: 41.02467757035569
  • IAX run 5: 34.601852015587944
  • IAX run 6: 34.39162528349263

AutoNaut IAX

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