Identifying trending model coefficients with an ensemble Kalman filter – a demonstration on a force model for milling

IFAC-PapersOnLine, vol. 53, pp. 2292–2298

Abstract

This paper extends the ensemble Kalman filter (EnKF) for inverse problems to identify trending model coefficients. This is done by repeatedly inflating the ensemble while maintaining the mean of the particles. As a benchmark serves a classic EnKF and a recursive least squares (RLS). As an example serves the identification of a force model in milling, which changes due to the progression of tool wear. For a proper comparison, the true values are simulated and augmented with white Gaussian noise. The results demonstrate the feasibility of the approach for dynamic identification while still achieving good accuracy in the static case. Further, the inflated EnKF shows a remarkably insensitivity on the starting set but a less smooth convergence compared to the classic EnKF.

Authors 6

1. Max Schwenzer corresponding Aachen Laboratory for Machine Tools and Production Engineering (WZL)

   RWTH Aachen University

   Affiliation as printed

   Laboratory for Machine Tools and Production Engineering (WZL), RWTH Aachen University, Campus-Boulevard 30, 52074 Aachen, Germany

2. Giuseppe Visconti Aachen Institute of Geometry and Applied Mathematics

   RWTH Aachen University

   Affiliation as printed

   Institute of Geometry and Applied Mathematics (IGPM), RWTH Aachen University, Templergraben 55, 52056 Aachen, Germany

3. Muzaffer Ay Aachen Institute of Automatic Control (IRT)

   RWTH Aachen University

   Affiliation as printed

   Institute of Automatic Control, RWTH Aachen University, Campus-Boulevard 30, 52074 Aachen, Germany

4. Thomas Bergs Aachen Laboratory for Machine Tools and Production Engineering (WZL)

   RWTH Aachen University

   Affiliation as printed

   Laboratory for Machine Tools and Production Engineering (WZL), RWTH Aachen University, Campus-Boulevard 30, 52074 Aachen, Germany

5. Michaël Herty Aachen Institute of Geometry and Applied Mathematics

   RWTH Aachen University

   Affiliation as printed

   Institute of Geometry and Applied Mathematics (IGPM), RWTH Aachen University, Templergraben 55, 52056 Aachen, Germany

6. Dirk Abel Aachen Institute of Automatic Control (IRT)

   RWTH Aachen University

   Affiliation as printed

   Institute of Automatic Control, RWTH Aachen University, Campus-Boulevard 30, 52074 Aachen, Germany