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State estimation, smoothing and parameter estimation using Kalman and particle filters.

Home Page: https://baggepinnen.github.io/LowLevelParticleFilters.jl/stable

License: Other

Julia 100.00%
particle-filter kalman-filter estimation state-estimation control-systems dynamical-systems sequential-monte-carlo bayesian-inference system-identification monte-carlo-methods

lowlevelparticlefilters.jl's Introduction

LowLevelParticleFilters

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This is a library for state estimation, smoothing and parameter estimation.

Estimator Types

We provide a number of filter types

  • ParticleFilter: This filter is simple to use and assumes that both dynamics noise and measurement noise are additive.
  • AuxiliaryParticleFilter: This filter is identical to ParticleFilter, but uses a slightly different proposal mechanism for new particles.
  • AdvancedParticleFilter: This filter gives you more flexibility, at the expense of having to define a few more functions.
  • KalmanFilter. A standard Kalman filter. Has the same features as the particle filters, but is restricted to linear dynamics (possibly time varying) and Gaussian noise.
  • SqKalmanFilter. A standard Kalman filter on square-root form (slightly slower but more numerically stable with ill-conditioned covariance).
  • ExtendedKalmanFilter: For nonlinear systems, the EKF runs a regular Kalman filter on linearized dynamics. Uses ForwardDiff.jl for linearization. The noise model must be Gaussian.
  • UnscentedKalmanFilter: The Unscented kalman filter often performs slightly better than the Extended Kalman filter but may be slightly more computationally expensive. The UKF handles nonlinear dynamics and measurement model, but still requires an additive Gaussian noise model.
  • DAEUnscentedKalmanFilter: An Unscented Kalman filter for differential-algebraic systems (DAE).

Documentation

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