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Robust observer design via the GKYP lemma

Robust observer design via the GKYP lemma
Robust observer design via the GKYP lemma

This paper considers the robust observer design problem for linear time-invariant dynamic systems subject to external disturbances. In this paper, robustness against disturbances is considered within a finite frequency range, instead of the standard infinite frequency range solution; this is achieved via the well established Generalized Kalman-Yakubovich-Popov (GKYP) results. In order to obtain a convex optimization problem, Finsler's Lemma is used to pose the GKYP Lemma as minimization problem in the form of a Linear Matrix Inequality which represents a finite range version of the Bounded Real Lemma. In contrast to other GKYP LMI formulations, the results presented in this work may be considered more conservative, but may be argued to be more simple and tractable than existing formulations. The effectiveness of the proposed procedure is shown through a simulation example.

900-905
Institute of Electrical and Electronics Engineers Inc.
Herrera, David
8c26850d-9306-4571-88f2-223dfc106a95
Sofrony, Jorge
20f54d8e-0d5f-4a8a-be1e-61f4052f30ff
Turner, Matthew C.
6befa01e-0045-4806-9c91-a107c53acba0
Herrera, David
8c26850d-9306-4571-88f2-223dfc106a95
Sofrony, Jorge
20f54d8e-0d5f-4a8a-be1e-61f4052f30ff
Turner, Matthew C.
6befa01e-0045-4806-9c91-a107c53acba0

Herrera, David, Sofrony, Jorge and Turner, Matthew C. (2015) Robust observer design via the GKYP lemma. In ACC 2015 - 2015 American Control Conference. vol. 2015-July, Institute of Electrical and Electronics Engineers Inc. pp. 900-905 . (doi:10.1109/ACC.2015.7170848).

Record type: Conference or Workshop Item (Paper)

Abstract

This paper considers the robust observer design problem for linear time-invariant dynamic systems subject to external disturbances. In this paper, robustness against disturbances is considered within a finite frequency range, instead of the standard infinite frequency range solution; this is achieved via the well established Generalized Kalman-Yakubovich-Popov (GKYP) results. In order to obtain a convex optimization problem, Finsler's Lemma is used to pose the GKYP Lemma as minimization problem in the form of a Linear Matrix Inequality which represents a finite range version of the Bounded Real Lemma. In contrast to other GKYP LMI formulations, the results presented in this work may be considered more conservative, but may be argued to be more simple and tractable than existing formulations. The effectiveness of the proposed procedure is shown through a simulation example.

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More information

Published date: 2015
Venue - Dates: 2015 American Control Conference, ACC 2015, United States, 2015-06-30 - 2015-07-02

Identifiers

Local EPrints ID: 439222
URI: http://eprints.soton.ac.uk/id/eprint/439222
PURE UUID: 00161010-4cb4-425a-bd1b-cb1c36e1b63f

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Date deposited: 07 Apr 2020 16:30
Last modified: 09 Sep 2020 16:33

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Contributors

Author: David Herrera
Author: Jorge Sofrony
Author: Matthew C. Turner

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