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State Estimation for the Homogeneous 1-D Euler Equation by Unscented Kalman Filtering

[+] Author Affiliations
Sascha Wolff, Jan-Simon Schäpel, Rudibert King

Technische Universität Berlin, Berlin, Germany

Phillip Berndt

Freie Universität Berlin, Berlin, Germany

Paper No. DSCC2015-9603, pp. V002T23A001; 9 pages
  • ASME 2015 Dynamic Systems and Control Conference
  • Volume 2: Diagnostics and Detection; Drilling; Dynamics and Control of Wind Energy Systems; Energy Harvesting; Estimation and Identification; Flexible and Smart Structure Control; Fuels Cells/Energy Storage; Human Robot Interaction; HVAC Building Energy Management; Industrial Applications; Intelligent Transportation Systems; Manufacturing; Mechatronics; Modelling and Validation; Motion and Vibration Control Applications
  • Columbus, Ohio, USA, October 28–30, 2015
  • Conference Sponsors: Dynamic Systems and Control Division
  • ISBN: 978-0-7918-5725-0
  • Copyright © 2015 by ASME


In this article we present a dynamic state estimation method for a one dimensional flow field which is described by the homogeneous Euler equation. The estimated quantities include the pressure, velocity, density and temperature field, which are of interest, for instance, for some combustion concepts. The algorithm relies only on a small number of discrete pressure measurements from the flow field. The influence of the number of used pressure measurements on the convergence speed of the algorithm is investigated. For the state estimation, an Unscented Kalman Filter scheme is exploited. The proposed method is applied in numerical simulations to demonstrate its effectiveness.

Copyright © 2015 by ASME



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