Design of Unknown Input Reconstruction Filter Based on Parity Equations for Errors-in-Variables Case

Małgorzata Sumisławska, Tomasz M. Larkowski, Keith J. Burnham

Research output: Chapter in Book/Report/Conference proceedingChapter

6 Citations (Scopus)

Abstract

This paper presents a novel approach to the problem of unknown input estimation in the presence of measurement noise. The observer developed here is based on the parity equations concept, hence, in contrast to the Kalman filter-based approaches, it is orthogonal (independent) to the system state vector. Therefore, due to the reduction of the number of estimated signals, an increased accuracy of the input estimation is achieved. This makes the scheme advantageous in cases when the accuracy of the unknown input estimate is crucial and knowledge about the system states is not required. By increasing the order of the parity space, which is a tuning parameter of the proposed algorithm, the influence of measurement noise can be reduced. An errors-in-variables case is considered, i.e. both measured input and output signals are affected by noise. A Lagrange multiplier method is used to obtain an analytical solution for the filter parameters. The proposed technique is suitable for both minimum-phase and nonminimum-phase systems.
Original languageEnglish
Title of host publicationIFAC Proceedings Volumes
PublisherElsevier
Pages4272–4277
Volume44
DOIs
Publication statusPublished - Jan 2011

Fingerprint

Lagrange multipliers
Kalman filters
Tuning

Bibliographical note

The full text is not available on the repository.

Keywords

  • errors-in-variables
  • filtering
  • observers
  • parity equations
  • unknown input reconstruction

Cite this

Sumisławska, M., Larkowski, T. M., & Burnham, K. J. (2011). Design of Unknown Input Reconstruction Filter Based on Parity Equations for Errors-in-Variables Case. In IFAC Proceedings Volumes (Vol. 44, pp. 4272–4277). Elsevier. https://doi.org/10.3182/20110828-6-IT-1002.03126

Design of Unknown Input Reconstruction Filter Based on Parity Equations for Errors-in-Variables Case. / Sumisławska, Małgorzata; Larkowski, Tomasz M.; Burnham, Keith J.

IFAC Proceedings Volumes. Vol. 44 Elsevier, 2011. p. 4272–4277.

Research output: Chapter in Book/Report/Conference proceedingChapter

Sumisławska, M, Larkowski, TM & Burnham, KJ 2011, Design of Unknown Input Reconstruction Filter Based on Parity Equations for Errors-in-Variables Case. in IFAC Proceedings Volumes. vol. 44, Elsevier, pp. 4272–4277. https://doi.org/10.3182/20110828-6-IT-1002.03126
Sumisławska M, Larkowski TM, Burnham KJ. Design of Unknown Input Reconstruction Filter Based on Parity Equations for Errors-in-Variables Case. In IFAC Proceedings Volumes. Vol. 44. Elsevier. 2011. p. 4272–4277 https://doi.org/10.3182/20110828-6-IT-1002.03126
Sumisławska, Małgorzata ; Larkowski, Tomasz M. ; Burnham, Keith J. / Design of Unknown Input Reconstruction Filter Based on Parity Equations for Errors-in-Variables Case. IFAC Proceedings Volumes. Vol. 44 Elsevier, 2011. pp. 4272–4277
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