Publication

Detectability and observer design for switched differential–algebraic equations

Tanwani, A. & Trenn, S., Jan-2019, In : Automatica. 99, p. 289-300 12 p.

Research output: Contribution to journalArticleAcademicpeer-review

APA

Tanwani, A., & Trenn, S. (2019). Detectability and observer design for switched differential–algebraic equations. Automatica, 99, 289-300. https://doi.org/10.1016/j.automatica.2018.10.043

Author

Tanwani, Aneel ; Trenn, Stephan. / Detectability and observer design for switched differential–algebraic equations. In: Automatica. 2019 ; Vol. 99. pp. 289-300.

Harvard

Tanwani, A & Trenn, S 2019, 'Detectability and observer design for switched differential–algebraic equations', Automatica, vol. 99, pp. 289-300. https://doi.org/10.1016/j.automatica.2018.10.043

Standard

Detectability and observer design for switched differential–algebraic equations. / Tanwani, Aneel; Trenn, Stephan.

In: Automatica, Vol. 99, 01.2019, p. 289-300.

Research output: Contribution to journalArticleAcademicpeer-review

Vancouver

Tanwani A, Trenn S. Detectability and observer design for switched differential–algebraic equations. Automatica. 2019 Jan;99:289-300. https://doi.org/10.1016/j.automatica.2018.10.043


BibTeX

@article{4f19ee1aacf6402589b035f8a60c5d41,
title = "Detectability and observer design for switched differential–algebraic equations",
abstract = "This paper studies detectability for switched linear differential–algebraic equations (DAEs) and its application to the synthesis of observers, which generate asymptotically converging state estimates. Equating detectability to asymptotic stability of zero-output-constrained state trajectories, and building on our work on interval-wise observability, we propose the notion of interval-wise detectability: If the output of the system is constrained to be identically zero over an interval, then the norm of the corresponding state trajectories scales down by a certain factor at the end of that interval. Conditions are provided under which the interval-wise detectability leads to asymptotic stability of zero-output-constrained state trajectories. An application is demonstrated in designing state estimators. Decomposing the state into observable and unobservable components, we show that if the observable component of the system is reset appropriately and persistently, then the estimation error converges to zero asymptotically under the interval-wise detectability assumption.",
keywords = "Switched systems, Differential–algebraic equations, Detectability, Observer design, State estimation, Asymptotic convergence, TO-STATE STABILITY",
author = "Aneel Tanwani and Stephan Trenn",
year = "2019",
month = "1",
doi = "10.1016/j.automatica.2018.10.043",
language = "English",
volume = "99",
pages = "289--300",
journal = "Automatica",
issn = "1873-2836",
publisher = "PERGAMON-ELSEVIER SCIENCE LTD",

}

RIS

TY - JOUR

T1 - Detectability and observer design for switched differential–algebraic equations

AU - Tanwani, Aneel

AU - Trenn, Stephan

PY - 2019/1

Y1 - 2019/1

N2 - This paper studies detectability for switched linear differential–algebraic equations (DAEs) and its application to the synthesis of observers, which generate asymptotically converging state estimates. Equating detectability to asymptotic stability of zero-output-constrained state trajectories, and building on our work on interval-wise observability, we propose the notion of interval-wise detectability: If the output of the system is constrained to be identically zero over an interval, then the norm of the corresponding state trajectories scales down by a certain factor at the end of that interval. Conditions are provided under which the interval-wise detectability leads to asymptotic stability of zero-output-constrained state trajectories. An application is demonstrated in designing state estimators. Decomposing the state into observable and unobservable components, we show that if the observable component of the system is reset appropriately and persistently, then the estimation error converges to zero asymptotically under the interval-wise detectability assumption.

AB - This paper studies detectability for switched linear differential–algebraic equations (DAEs) and its application to the synthesis of observers, which generate asymptotically converging state estimates. Equating detectability to asymptotic stability of zero-output-constrained state trajectories, and building on our work on interval-wise observability, we propose the notion of interval-wise detectability: If the output of the system is constrained to be identically zero over an interval, then the norm of the corresponding state trajectories scales down by a certain factor at the end of that interval. Conditions are provided under which the interval-wise detectability leads to asymptotic stability of zero-output-constrained state trajectories. An application is demonstrated in designing state estimators. Decomposing the state into observable and unobservable components, we show that if the observable component of the system is reset appropriately and persistently, then the estimation error converges to zero asymptotically under the interval-wise detectability assumption.

KW - Switched systems

KW - Differential–algebraic equations

KW - Detectability

KW - Observer design

KW - State estimation

KW - Asymptotic convergence

KW - TO-STATE STABILITY

U2 - 10.1016/j.automatica.2018.10.043

DO - 10.1016/j.automatica.2018.10.043

M3 - Article

VL - 99

SP - 289

EP - 300

JO - Automatica

JF - Automatica

SN - 1873-2836

ER -

ID: 67592300