Detectability Analysis and Observer Design for Linear Time Varying Systems

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

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Forschung › 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.
Originalspracheenglisch
Seiten (von - bis)331-336
FachzeitschriftIEEE Control Systems Letters
Jahrgang4
Ausgabenummer2
DOIs
PublikationsstatusVeröffentlicht - 2020
Veranstaltung58th Conference on Decision and Control - Nice, Frankreich
Dauer: 11 Dez 2019 → 13 Dez 2019

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Linear Time-varying Systems
Observer Design
Detectability
Time varying systems
Lyapunov Exponent
Non-negative
Exponential Convergence
Estimation Error
Error analysis
Design Method
Observer
Computational complexity
Computational Complexity
Stabilization
Numerical Simulation
Computer simulation
Demonstrate
Concepts
Class

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    Detectability Analysis and Observer Design for Linear Time Varying Systems. / Tranninger, Markus; Seeber, Richard; Zhuk, Sergiy; Steinberger, Martin; Horn, Martin.

    in: IEEE Control Systems Letters, Jahrgang 4, Nr. 2, 2020, S. 331-336.

    Publikation: Beitrag in einer Fachzeitschrift › Artikel › Forschung › Begutachtung

    Tranninger, M, Seeber, R, Zhuk, S, Steinberger, M & Horn, M 2020, 'Detectability Analysis and Observer Design for Linear Time Varying Systems' IEEE Control Systems Letters, Jg. 4, Nr. 2, S. 331-336. https://doi.org/10.1109/LCSYS.2019.2927549
    Tranninger M, Seeber R, Zhuk S, Steinberger M, Horn M. Detectability Analysis and Observer Design for Linear Time Varying Systems. IEEE Control Systems Letters. 2020;4(2):331-336. https://doi.org/10.1109/LCSYS.2019.2927549
    Tranninger, Markus ; Seeber, Richard ; Zhuk, Sergiy ; Steinberger, Martin ; Horn, Martin. / Detectability Analysis and Observer Design for Linear Time Varying Systems. in: IEEE Control Systems Letters. 2020 ; Jahrgang 4, Nr. 2. S. 331-336.
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