Finite-Time State-Observer for a Class of Linear Time-Varying Systems with Unknown Inputs

Jorge Davila; Markus Tranninger; Leonid Fridman

doi:10.1109/TAC.2021.3096863

Finite-Time State-Observer for a Class of Linear Time-Varying Systems with Unknown Inputs

Jorge Davila^*, Markus Tranninger, Leonid Fridman

^*Corresponding author for this work

Institute of Automation and Control (4430)

Research output: Contribution to journal › Article › peer-review

Abstract

A finite-time observer for a class of linear time-varying systems with bounded unknown inputs is presented in this note. The design of the observer exploits structural properties of the system and, through a linear operator, allows applying the robust-exact differentiator in a block form without requiring additional stabilizing terms. The proposed observer provides an exact estimate of the states after a finite transient-time despite the possible instability of the system and the effects of bounded unknown inputs.

Original language	English
Pages (from-to)	3149-3156
Number of pages	8
Journal	IEEE Transactions on Automatic Control
Volume	67
Issue number	6
DOIs	https://doi.org/10.1109/TAC.2021.3096863
Publication status	Published - 1 Jun 2022

Keywords

Complexity theory
Convergence
Linear systems
Observability
Observers
Switches
Urban areas
time-varying systems
unknown inputs
finite-time observers
Robust observers
high-order sliding modes

ASJC Scopus subject areas

Electrical and Electronic Engineering
Control and Systems Engineering
Computer Science Applications

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10.1109/TAC.2021.3096863

Cite this

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title = "Finite-Time State-Observer for a Class of Linear Time-Varying Systems with Unknown Inputs",

abstract = "A finite-time observer for a class of linear time-varying systems with bounded unknown inputs is presented in this note. The design of the observer exploits structural properties of the system and, through a linear operator, allows applying the robust-exact differentiator in a block form without requiring additional stabilizing terms. The proposed observer provides an exact estimate of the states after a finite transient-time despite the possible instability of the system and the effects of bounded unknown inputs.",

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doi = "10.1109/TAC.2021.3096863",

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T1 - Finite-Time State-Observer for a Class of Linear Time-Varying Systems with Unknown Inputs

AU - Davila, Jorge

AU - Tranninger, Markus

AU - Fridman, Leonid

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Y1 - 2022/6/1

N2 - A finite-time observer for a class of linear time-varying systems with bounded unknown inputs is presented in this note. The design of the observer exploits structural properties of the system and, through a linear operator, allows applying the robust-exact differentiator in a block form without requiring additional stabilizing terms. The proposed observer provides an exact estimate of the states after a finite transient-time despite the possible instability of the system and the effects of bounded unknown inputs.

AB - A finite-time observer for a class of linear time-varying systems with bounded unknown inputs is presented in this note. The design of the observer exploits structural properties of the system and, through a linear operator, allows applying the robust-exact differentiator in a block form without requiring additional stabilizing terms. The proposed observer provides an exact estimate of the states after a finite transient-time despite the possible instability of the system and the effects of bounded unknown inputs.

KW - Complexity theory

KW - Convergence

KW - Linear systems

KW - Observability

KW - Observers

KW - Switches

KW - Urban areas

KW - time-varying systems

KW - unknown inputs

KW - finite-time observers

KW - Robust observers

KW - high-order sliding modes

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DO - 10.1109/TAC.2021.3096863

M3 - Article

SN - 0018-9286

VL - 67

SP - 3149

EP - 3156

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 6

ER -

Finite-Time State-Observer for a Class of Linear Time-Varying Systems with Unknown Inputs

Abstract

Keywords

ASJC Scopus subject areas

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Finite-Time State-Observer for a Class of Linear Time-Varying Systems with Unknown Inputs

Abstract

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ASJC Scopus subject areas

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