Linearly Combining Sensor Measurements Optimally to Enforce an SPR Transfer Matrix

Ryan James Caverly; James Richard Forbes

doi:10.1109/CCTA.2018.8511633

Linearly Combining Sensor Measurements Optimally to Enforce an SPR Transfer Matrix

Ryan James Caverly, James Richard Forbes

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

4 Scopus citations

Abstract

This paper presents methods to combine measurements of a linear time-invariant system in such a manner that the new system obtained is strictly positive real (SPR). In particular, this paper focuses on how to best combine measurements in a linear fashion by minimizing the difference in an H 2 or H∞ sense between the new system and a given desired system. The methods proposed to linearly combine sensor measurements rely on linear matrix inequalities (LMIs), which lead to tractable synthesis procedures. Numerical examples involving noncolocated elastic mechanical systems are provided that illustrate the effectiveness of the proposed techniques when used for output tracking control.

Original language	English (US)
Title of host publication	2018 IEEE Conference on Control Technology and Applications, CCTA 2018
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1289-1294
Number of pages	6
ISBN (Electronic)	9781538676981
DOIs	https://doi.org/10.1109/CCTA.2018.8511633
State	Published - Oct 26 2018
Externally published	Yes
Event	2nd IEEE Conference on Control Technology and Applications, CCTA 2018 - Copenhagen, Denmark Duration: Aug 21 2018 → Aug 24 2018

Publication series

Name	2018 IEEE Conference on Control Technology and Applications, CCTA 2018

Other

Other	2nd IEEE Conference on Control Technology and Applications, CCTA 2018
Country/Territory	Denmark
City	Copenhagen
Period	8/21/18 → 8/24/18

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Publisher Copyright:
© 2018 IEEE.

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10.1109/CCTA.2018.8511633

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Caverly, R. J., & Forbes, J. R. (2018). Linearly Combining Sensor Measurements Optimally to Enforce an SPR Transfer Matrix. In 2018 IEEE Conference on Control Technology and Applications, CCTA 2018 (pp. 1289-1294). Article 8511633 (2018 IEEE Conference on Control Technology and Applications, CCTA 2018). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CCTA.2018.8511633

Linearly Combining Sensor Measurements Optimally to Enforce an SPR Transfer Matrix. / Caverly, Ryan James; Forbes, James Richard.
2018 IEEE Conference on Control Technology and Applications, CCTA 2018. Institute of Electrical and Electronics Engineers Inc., 2018. p. 1289-1294 8511633 (2018 IEEE Conference on Control Technology and Applications, CCTA 2018).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Caverly, RJ & Forbes, JR 2018, Linearly Combining Sensor Measurements Optimally to Enforce an SPR Transfer Matrix. in 2018 IEEE Conference on Control Technology and Applications, CCTA 2018., 8511633, 2018 IEEE Conference on Control Technology and Applications, CCTA 2018, Institute of Electrical and Electronics Engineers Inc., pp. 1289-1294, 2nd IEEE Conference on Control Technology and Applications, CCTA 2018, Copenhagen, Denmark, 8/21/18. https://doi.org/10.1109/CCTA.2018.8511633

Caverly RJ, Forbes JR. Linearly Combining Sensor Measurements Optimally to Enforce an SPR Transfer Matrix. In 2018 IEEE Conference on Control Technology and Applications, CCTA 2018. Institute of Electrical and Electronics Engineers Inc. 2018. p. 1289-1294. 8511633. (2018 IEEE Conference on Control Technology and Applications, CCTA 2018). doi: 10.1109/CCTA.2018.8511633

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Linearly Combining Sensor Measurements Optimally to Enforce an SPR Transfer Matrix

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