Detectability Analysis and Observer Design for Linear Time Varying Systems

Markus Tranninger; Richard Seeber; Sergiy Zhuk; Martin Steinberger; Martin Horn

doi:10.1109/LCSYS.2019.2927549

Detectability Analysis and Observer Design for Linear Time Varying Systems

Markus Tranninger^*, Richard Seeber, Sergiy Zhuk, Martin Steinberger, Martin Horn

^*Korrespondierende/r Autor/in für diese Arbeit

Institut für Regelungs- und Automatisierungstechnik (4430)

Publikation: Beitrag in einer Fachzeitschrift › Artikel

Abstract

This letter presents a new detectability criterion and a new observer design method for a class of linear time varying systems. The concept is based on the stabilization of the system’s non-negative Lyapunov exponents. The proposed observer design guarantees exponential convergence of the estimation error. Compared to classical techniques, the computational complexity of the resulting observer is drastically reduced if the number of non-negative Lyapunov exponents is small compared to the system order. A numerical simulation example demonstrates the effectiveness of the proposed approach.

Originalsprache	englisch
Aufsatznummer	8758319
Seiten (von - bis)	331-336
Seitenumfang	6
Fachzeitschrift	IEEE Control Systems Letters
Jahrgang	4
Ausgabenummer	2
DOIs	https://doi.org/10.1109/LCSYS.2019.2927549
Publikationsstatus	Veröffentlicht - Apr 2020
Veranstaltung	58th Conference on Decision and Control - Nice, Frankreich Dauer: 11 Dez 2019 → 13 Dez 2019

ASJC Scopus subject areas

!!Control and Optimization
!!Control and Systems Engineering

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10.1109/LCSYS.2019.2927549

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Boano, C. A., Kubin, G., Bloem, R., Horn, M., Pernkopf, F., Zakany, N., Mangard, S., Witrisal, K., Römer, K. U., Aichernig, B., Bösch, W., Baunach, M. C., Tappler, M., Malenko, M., Weiser, S., Eichlseder, M., Leitinger, E., Grosinger, J., Großwindhager, B., Ebrahimi, M., Alothman Alterkawi, A. B., Knoll, C., Teschl, R., Saukh, O., Rath, M., Steinberger, M., Steinbauer-Wagner, G. & Tranninger, M.
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abstract = "This letter presents a new detectability criterion and a new observer design method for a class of linear time varying systems. The concept is based on the stabilization of the system{\textquoteright}s non-negative Lyapunov exponents. The proposed observer design guarantees exponential convergence of the estimation error. Compared to classical techniques, the computational complexity of the resulting observer is drastically reduced if the number of non-negative Lyapunov exponents is small compared to the system order. A numerical simulation example demonstrates the effectiveness of the proposed approach.",

keywords = "Time-varying systems, observers for linear systems, Lyapunov exponents",

author = "Markus Tranninger and Richard Seeber and Sergiy Zhuk and Martin Steinberger and Martin Horn",

year = "2020",

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doi = "10.1109/LCSYS.2019.2927549",

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AU - Tranninger, Markus

AU - Seeber, Richard

AU - Zhuk, Sergiy

AU - Steinberger, Martin

AU - Horn, Martin

PY - 2020/4

Y1 - 2020/4

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AB - This letter presents a new detectability criterion and a new observer design method for a class of linear time varying systems. The concept is based on the stabilization of the system’s non-negative Lyapunov exponents. The proposed observer design guarantees exponential convergence of the estimation error. Compared to classical techniques, the computational complexity of the resulting observer is drastically reduced if the number of non-negative Lyapunov exponents is small compared to the system order. A numerical simulation example demonstrates the effectiveness of the proposed approach.

KW - Time-varying systems

KW - observers for linear systems

KW - Lyapunov exponents

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DO - 10.1109/LCSYS.2019.2927549

M3 - Article

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JO - IEEE Control Systems Letters

JF - IEEE Control Systems Letters

SN - 2475-1456

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T2 - 58th Conference on Decision and Control

Y2 - 11 December 2019 through 13 December 2019

ER -

Detectability Analysis and Observer Design for Linear Time Varying Systems

Abstract

ASJC Scopus subject areas

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