Robust Observer Design for Linear Switched Systems Based on Structural Observability Conditions

Manuel Mera; Francisco Javier Bejarano

doi:10.1109/CDC45484.2021.9683568

Robust Observer Design for Linear Switched Systems Based on Structural Observability Conditions

Manuel Mera, Francisco Javier Bejarano

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

An observer, based on the well-known structural conditions of state and mode observability for switched linear systems, using a high-order sliding-mode (HOSM) differentiator, is proposed to recover both the active mode and the continuous state in Finite-time. The estimation of both the mode and the state is ensured, under some mild additional conditions, even for the case when the measurable output is affected by perturbations. Moreover, a continuous state observer for the case when the mode is unobservable, or the mode estimation is negligible, is presented considering some more relaxed structural conditions ensuring the continuous state estimation disregarding the mode.

Original language	English
Title of host publication	60th IEEE Conference on Decision and Control, CDC 2021
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	3918-3923
Number of pages	6
ISBN (Electronic)	9781665436595
DOIs	https://doi.org/10.1109/CDC45484.2021.9683568
State	Published - 2021
Event	60th IEEE Conference on Decision and Control, CDC 2021 - Austin, United States Duration: 13 Dec 2021 → 17 Dec 2021

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	2021-December
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	60th IEEE Conference on Decision and Control, CDC 2021
Country/Territory	United States
City	Austin
Period	13/12/21 → 17/12/21

Access to Document

10.1109/CDC45484.2021.9683568

Cite this

Mera, M., & Bejarano, F. J. (2021). Robust Observer Design for Linear Switched Systems Based on Structural Observability Conditions. In 60th IEEE Conference on Decision and Control, CDC 2021 (pp. 3918-3923). (Proceedings of the IEEE Conference on Decision and Control; Vol. 2021-December). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC45484.2021.9683568

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title = "Robust Observer Design for Linear Switched Systems Based on Structural Observability Conditions",

abstract = "An observer, based on the well-known structural conditions of state and mode observability for switched linear systems, using a high-order sliding-mode (HOSM) differentiator, is proposed to recover both the active mode and the continuous state in Finite-time. The estimation of both the mode and the state is ensured, under some mild additional conditions, even for the case when the measurable output is affected by perturbations. Moreover, a continuous state observer for the case when the mode is unobservable, or the mode estimation is negligible, is presented considering some more relaxed structural conditions ensuring the continuous state estimation disregarding the mode.",

author = "Manuel Mera and Bejarano, {Francisco Javier}",

note = "Publisher Copyright: {\textcopyright} 2021 IEEE.; 60th IEEE Conference on Decision and Control, CDC 2021 ; Conference date: 13-12-2021 Through 17-12-2021",

year = "2021",

doi = "10.1109/CDC45484.2021.9683568",

language = "Ingl{\'e}s",

series = "Proceedings of the IEEE Conference on Decision and Control",

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Mera, M & Bejarano, FJ 2021, Robust Observer Design for Linear Switched Systems Based on Structural Observability Conditions. in 60th IEEE Conference on Decision and Control, CDC 2021. Proceedings of the IEEE Conference on Decision and Control, vol. 2021-December, Institute of Electrical and Electronics Engineers Inc., pp. 3918-3923, 60th IEEE Conference on Decision and Control, CDC 2021, Austin, United States, 13/12/21. https://doi.org/10.1109/CDC45484.2021.9683568

Robust Observer Design for Linear Switched Systems Based on Structural Observability Conditions. / Mera, Manuel ; Bejarano, Francisco Javier.
60th IEEE Conference on Decision and Control, CDC 2021. Institute of Electrical and Electronics Engineers Inc., 2021. p. 3918-3923 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2021-December).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Bejarano, Francisco Javier

PY - 2021

Y1 - 2021

N2 - An observer, based on the well-known structural conditions of state and mode observability for switched linear systems, using a high-order sliding-mode (HOSM) differentiator, is proposed to recover both the active mode and the continuous state in Finite-time. The estimation of both the mode and the state is ensured, under some mild additional conditions, even for the case when the measurable output is affected by perturbations. Moreover, a continuous state observer for the case when the mode is unobservable, or the mode estimation is negligible, is presented considering some more relaxed structural conditions ensuring the continuous state estimation disregarding the mode.

AB - An observer, based on the well-known structural conditions of state and mode observability for switched linear systems, using a high-order sliding-mode (HOSM) differentiator, is proposed to recover both the active mode and the continuous state in Finite-time. The estimation of both the mode and the state is ensured, under some mild additional conditions, even for the case when the measurable output is affected by perturbations. Moreover, a continuous state observer for the case when the mode is unobservable, or the mode estimation is negligible, is presented considering some more relaxed structural conditions ensuring the continuous state estimation disregarding the mode.

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U2 - 10.1109/CDC45484.2021.9683568

DO - 10.1109/CDC45484.2021.9683568

M3 - Contribución a la conferencia

AN - SCOPUS:85126043643

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 3918

EP - 3923

BT - 60th IEEE Conference on Decision and Control, CDC 2021

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 60th IEEE Conference on Decision and Control, CDC 2021

Y2 - 13 December 2021 through 17 December 2021

ER -

Robust Observer Design for Linear Switched Systems Based on Structural Observability Conditions

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