Exact State Reconstruction for LTI-Systems with Non-Differentiable Unknown Inputs

Markus Tranninger; Richard Seeber; Martin Steinberger; Martin Horn

doi:10.23919/ECC.2019.8796142

Exact State Reconstruction for LTI-Systems with Non-Differentiable Unknown Inputs

Institute of Automation and Control (4430)

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

Abstract

In this paper, a sliding mode based observer design for strongly observable systems in the presence of non-differentiable unknown inputs is presented. The system state is reconstructed in finite time by means of a linear observer in combination with a robust exact differentiator. By appropriate filtering of the measured output, differentiation of signal components involving the unknown input is avoided. For strongly detectable systems, the proposed technique is combined with invariant subspace methods to provide asymptotic reconstruction of the state. A numerical simulation example demonstrates the performance of the proposed approach.

Original language	English
Title of host publication	18th European Control Conference (ECC)
Pages	3096-3102
ISBN (Electronic)	978-3-907144-01-5
DOIs	https://doi.org/10.23919/ECC.2019.8796142
Publication status	Published - 2019
Event	18th European Control Conference - Naples, Italy Duration: 25 Jun 2019 → 28 Jun 2019

Conference

Conference	18th European Control Conference
Abbreviated title	ECC
Country/Territory	Italy
City	Naples
Period	25/06/19 → 28/06/19

Access to Document

10.23919/ECC.2019.8796142

Dependable Internet of Things
Pernkopf, F. (Contact person), Zakany, N. (Contact person), Eichlseder, M. (Contact person), Saukh, O. (Contact person), Mangard, S. (Contact person), Steinbauer-Wagner, G. (Contact person), Knoll, C. (Attendee / Assistant), Tranninger, M. (Attendee / Assistant), Römer, K. U. (Consortium manager resp. coordinator of internal research units), Rath, M. (Attendee / Assistant), Kubin, G. (Contact person), Horn, M. (Contact person), Tappler, M. (Attendee / Assistant), Bloem, R. (Consortium manager resp. coordinator of internal research units), Weiser, S. (Attendee / Assistant), Leitinger, E. (Contact person), Ebrahimi, M. (Attendee / Assistant), Aichernig, B. (Contact person), Malenko, M. (Attendee / Assistant), Steinberger, M. (Contact person), Großwindhager, B. (Attendee / Assistant), Baunach, M. C. (Contact person), Witrisal, K. (Contact person), Teschl, R. (Contact person), Boano, C. A. (Contact person), Alothman Alterkawi, A. B. (Attendee / Assistant), Bösch, W. (Contact person) & Grosinger, J. (Contact person)
1/01/16 → 31/03/22
Project: Research project

Exact State Reconstruction for LTI-Systems with Non-Differentiable Unknown Inputs
Tranninger, M. (Speaker)
28 Jun 2019
Activity: Talk or presentation › Talk at conference or symposium › Science to science

Cite this

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title = "Exact State Reconstruction for LTI-Systems with Non-Differentiable Unknown Inputs",

abstract = "In this paper, a sliding mode based observer design for strongly observable systems in the presence of non-differentiable unknown inputs is presented. The system state is reconstructed in finite time by means of a linear observer in combination with a robust exact differentiator. By appropriate filtering of the measured output, differentiation of signal components involving the unknown input is avoided. For strongly detectable systems, the proposed technique is combined with invariant subspace methods to provide asymptotic reconstruction of the state. A numerical simulation example demonstrates the performance of the proposed approach. ",

author = "Markus Tranninger and Richard Seeber and Martin Steinberger and Martin Horn",

year = "2019",

doi = "10.23919/ECC.2019.8796142",

language = "English",

pages = "3096--3102",

booktitle = "18th European Control Conference (ECC)",

note = "18th European Control Conference, ECC ; Conference date: 25-06-2019 Through 28-06-2019",

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T1 - Exact State Reconstruction for LTI-Systems with Non-Differentiable Unknown Inputs

AU - Tranninger, Markus

AU - Seeber, Richard

AU - Steinberger, Martin

AU - Horn, Martin

PY - 2019

Y1 - 2019

N2 - In this paper, a sliding mode based observer design for strongly observable systems in the presence of non-differentiable unknown inputs is presented. The system state is reconstructed in finite time by means of a linear observer in combination with a robust exact differentiator. By appropriate filtering of the measured output, differentiation of signal components involving the unknown input is avoided. For strongly detectable systems, the proposed technique is combined with invariant subspace methods to provide asymptotic reconstruction of the state. A numerical simulation example demonstrates the performance of the proposed approach.

AB - In this paper, a sliding mode based observer design for strongly observable systems in the presence of non-differentiable unknown inputs is presented. The system state is reconstructed in finite time by means of a linear observer in combination with a robust exact differentiator. By appropriate filtering of the measured output, differentiation of signal components involving the unknown input is avoided. For strongly detectable systems, the proposed technique is combined with invariant subspace methods to provide asymptotic reconstruction of the state. A numerical simulation example demonstrates the performance of the proposed approach.

U2 - 10.23919/ECC.2019.8796142

DO - 10.23919/ECC.2019.8796142

M3 - Conference paper

SP - 3096

EP - 3102

BT - 18th European Control Conference (ECC)

T2 - 18th European Control Conference

Y2 - 25 June 2019 through 28 June 2019

ER -

Exact State Reconstruction for LTI-Systems with Non-Differentiable Unknown Inputs

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Exact State Reconstruction for LTI-Systems with Non-Differentiable Unknown Inputs

Cite this