The authors propose an invariant zonotopic set-membership filter (InZSMF) on Lie groups for group affine systems with unknown but bounded noise, and show via simulation that it outperforms the Euclidean ZSMF.
Set membership state and parameter estimation for systems described by nonlinear differential equations,
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The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups
The authors propose an invariant zonotopic set-membership filter (InZSMF) on Lie groups for group affine systems with unknown but bounded noise, and show via simulation that it outperforms the Euclidean ZSMF.