Reduced Order Fast Converging Observer for Systems with Discrete Measurements

Frederic Mazenc; Michael Malisoff; Zhong Ping Jiang

doi:10.1016/j.ifacol.2021.06.078

Reduced Order Fast Converging Observer for Systems with Discrete Measurements

Frederic Mazenc, Michael Malisoff, Zhong Ping Jiang

Electrical and Computer Engineering

Research output: Contribution to journal › Conference article › peer-review

Abstract

We provide new reduced order observers for continuous-time nonlinear systems, first in the case where there are continuous output measurements and next in the case where there are only discrete output measurements. When continuous measurements are available, we provide observers that converge in finite time. When only discrete measurements are available, we provide observers that do not converge in finite time, but which do converge asymptotically with a rate of convergence that is proportional to the negative of the logarithm of the size of the sampling interval. We illustrate our results in a pendulum example.

Original language	English (US)
Pages (from-to)	219-224
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	54
Issue number	9
DOIs	https://doi.org/10.1016/j.ifacol.2021.06.078
State	Published - Jun 1 2021
Event	24th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2020 - Cambridge, United Kingdom Duration: Aug 23 2021 → Aug 27 2021

Keywords

Discrete measurements
Finite time
Reduced order observer

ASJC Scopus subject areas

Control and Systems Engineering

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10.1016/j.ifacol.2021.06.078

Cite this

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title = "Reduced Order Fast Converging Observer for Systems with Discrete Measurements",

abstract = "We provide new reduced order observers for continuous-time nonlinear systems, first in the case where there are continuous output measurements and next in the case where there are only discrete output measurements. When continuous measurements are available, we provide observers that converge in finite time. When only discrete measurements are available, we provide observers that do not converge in finite time, but which do converge asymptotically with a rate of convergence that is proportional to the negative of the logarithm of the size of the sampling interval. We illustrate our results in a pendulum example.",

keywords = "Discrete measurements, Finite time, Reduced order observer",

author = "Frederic Mazenc and Michael Malisoff and Jiang, {Zhong Ping}",

note = "Publisher Copyright: Copyright {\textcopyright} 2021 The Authors. This is an open access article under the CC BY-NC-ND license.; 24th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2020 ; Conference date: 23-08-2021 Through 27-08-2021",

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TY - JOUR

T1 - Reduced Order Fast Converging Observer for Systems with Discrete Measurements

AU - Mazenc, Frederic

AU - Malisoff, Michael

AU - Jiang, Zhong Ping

PY - 2021/6/1

Y1 - 2021/6/1

N2 - We provide new reduced order observers for continuous-time nonlinear systems, first in the case where there are continuous output measurements and next in the case where there are only discrete output measurements. When continuous measurements are available, we provide observers that converge in finite time. When only discrete measurements are available, we provide observers that do not converge in finite time, but which do converge asymptotically with a rate of convergence that is proportional to the negative of the logarithm of the size of the sampling interval. We illustrate our results in a pendulum example.

AB - We provide new reduced order observers for continuous-time nonlinear systems, first in the case where there are continuous output measurements and next in the case where there are only discrete output measurements. When continuous measurements are available, we provide observers that converge in finite time. When only discrete measurements are available, we provide observers that do not converge in finite time, but which do converge asymptotically with a rate of convergence that is proportional to the negative of the logarithm of the size of the sampling interval. We illustrate our results in a pendulum example.

KW - Discrete measurements

KW - Finite time

KW - Reduced order observer

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U2 - 10.1016/j.ifacol.2021.06.078

DO - 10.1016/j.ifacol.2021.06.078

M3 - Conference article

AN - SCOPUS:85117884349

SN - 2405-8963

VL - 54

SP - 219

EP - 224

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 9

T2 - 24th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2020

Y2 - 23 August 2021 through 27 August 2021

ER -

Reduced Order Fast Converging Observer for Systems with Discrete Measurements

Abstract

Keywords

ASJC Scopus subject areas

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