Natural Gradient Gaussian Approximation Filter on Lie Groups for Robot State Estimation

Apr 11, 2026 · Research Publication · Unitree · Humanoid

Accurate state estimation for robotic systems evolving on Lie group manifolds, such as legged robots, is a prerequisite for achieving agile control. However, this task is challenged by nonlinear observation models defined on curved manifolds, where existing filters rely on local linearization in the tangent space to handle such nonlinearity, leading to accumulated estimation errors.

Unitree company media
Company media · Unitree
  • Experiments use Go2 as the physical evaluation platform.
  • The reported results provide an independent evaluation on Go2 hardware.

Develops quadruped and humanoid robots, with strength in dynamic locomotion, vertically integrated hardware, and relatively low-cost commercial deployment. Unitree is one of the clearest examples of a legged robotics company moving from research visibility into real productisation and broader market distribution.