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 › Begutachtung

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

Steuerung und Optimierung
Steuerungs- und Systemtechnik

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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.
1/01/16 → 31/03/22
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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",

language = "English",

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pages = "331--336",

journal = "IEEE Control Systems Letters",

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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

N2 - 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.

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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EP - 336

JO - IEEE Control Systems Letters

JF - IEEE Control Systems Letters

SN - 2475-1456

IS - 2

M1 - 8758319

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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