Detectability Analysis and Observer Design for Linear Time Varying Systems

Publikation: Beitrag in einer FachzeitschriftArtikelForschungBegutachtung

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 201913 Dez 2019

Fingerprint

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

Schlagwörter

    Dies zitieren

    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 FachzeitschriftArtikelForschungBegutachtung

    @article{006f3e927886403b9b64b8062fdf7c1f,
    title = "Detectability Analysis and Observer Design for Linear Time Varying Systems",
    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.",
    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",
    doi = "10.1109/LCSYS.2019.2927549",
    language = "English",
    volume = "4",
    pages = "331--336",
    journal = "IEEE Control Systems Letters",
    issn = "2475-1456",
    publisher = "IEEE Control Systems Society",
    number = "2",

    }

    TY - JOUR

    T1 - Detectability Analysis and Observer Design for Linear Time Varying Systems

    AU - Tranninger, Markus

    AU - Seeber, Richard

    AU - Zhuk, Sergiy

    AU - Steinberger, Martin

    AU - Horn, Martin

    PY - 2020

    Y1 - 2020

    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

    U2 - 10.1109/LCSYS.2019.2927549

    DO - 10.1109/LCSYS.2019.2927549

    M3 - Article

    VL - 4

    SP - 331

    EP - 336

    JO - IEEE Control Systems Letters

    JF - IEEE Control Systems Letters

    SN - 2475-1456

    IS - 2

    ER -