Continuous-time and continuous-discrete-time unscented Rauch-Tung-Striebel smoothers

  • Authors:
  • Simo Särkkä

  • Affiliations:
  • Helsinki University of Technology, Department of Biomedical Engineering and Computational Science, P.O. Box 9203, FIN-02015 HUT, Finland

  • Venue:
  • Signal Processing
  • Year:
  • 2010

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Abstract

This article considers the application of the unscented transformation to approximate fixed-interval optimal smoothing of continuous-time non-linear stochastic dynamic systems. The proposed methodology can be applied to systems, where the dynamics can be modeled with non-linear stochastic differential equations and the noise corrupted measurements are obtained continuously or at discrete times. The smoothing algorithm is based on computing the continuous-time limit of the recently proposed unscented Rauch-Tung-Striebel smoother, which is an approximate optimal smoothing algorithm for discrete-time stochastic dynamic systems.