Numerical Analysis of Exponential and BIBS Stability for Linear Discrete Time-Variant Systems using Bohl Exponents

Simon Genser; Georg Stettinger; Daniel Watzenig; Christian Pötzsche

doi:10.1109/MED48518.2020.9183239

Numerical Analysis of Exponential and BIBS Stability for Linear Discrete Time-Variant Systems using Bohl Exponents

Simon Genser, Georg Stettinger, Daniel Watzenig, Christian Pötzsche

Institute of Automation and Control (4430)

Research output: Contribution to conference › Paper › peer-review

Abstract

This work deals with the stability analysis of linear discrete-time time-variant systems, focusing on the most restrictive stability measures for free respectively forced systems, the exponential stability respectively BIBS (bounded-input bounded-state) stability. Additionally the connection of these stability concepts with the so-called Bohl exponent is in focus of this work. The Bohl exponent can be seen as a generalization of eigenvalues for the stability analysis of time-variant systems. The contribution of this work is the combination of the exponential and BIBS stability analysis with the numerical computation of the Bohl exponent, leading to a numerical stability analysis for linear discrete-time time-variant systems. This stability analysis is applied at a time-variant drivetrain control loop.

Original language	English
Pages	630-636
Number of pages	7
DOIs	https://doi.org/10.1109/MED48518.2020.9183239
Publication status	Published - 18 Sept 2020
Event	28th Mediterranean Conference on Control and Automation: MED 2020 - Online, Saint-Raphael, Virtual, France Duration: 15 Sept 2020 → 18 Sept 2020 http://med2020.cran.univ-lorraine.fr/

Conference

Conference	28th Mediterranean Conference on Control and Automation
Country/Territory	France
City	Saint-Raphael, Virtual
Period	15/09/20 → 18/09/20
Internet address	http://med2020.cran.univ-lorraine.fr/

ASJC Scopus subject areas

Control and Optimization
Control and Systems Engineering
Modelling and Simulation

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10.1109/MED48518.2020.9183239

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abstract = "This work deals with the stability analysis of linear discrete-time time-variant systems, focusing on the most restrictive stability measures for free respectively forced systems, the exponential stability respectively BIBS (bounded-input bounded-state) stability. Additionally the connection of these stability concepts with the so-called Bohl exponent is in focus of this work. The Bohl exponent can be seen as a generalization of eigenvalues for the stability analysis of time-variant systems. The contribution of this work is the combination of the exponential and BIBS stability analysis with the numerical computation of the Bohl exponent, leading to a numerical stability analysis for linear discrete-time time-variant systems. This stability analysis is applied at a time-variant drivetrain control loop.",

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AU - Stettinger, Georg

AU - Watzenig, Daniel

AU - Pötzsche, Christian

PY - 2020/9/18

Y1 - 2020/9/18

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AB - This work deals with the stability analysis of linear discrete-time time-variant systems, focusing on the most restrictive stability measures for free respectively forced systems, the exponential stability respectively BIBS (bounded-input bounded-state) stability. Additionally the connection of these stability concepts with the so-called Bohl exponent is in focus of this work. The Bohl exponent can be seen as a generalization of eigenvalues for the stability analysis of time-variant systems. The contribution of this work is the combination of the exponential and BIBS stability analysis with the numerical computation of the Bohl exponent, leading to a numerical stability analysis for linear discrete-time time-variant systems. This stability analysis is applied at a time-variant drivetrain control loop.

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DO - 10.1109/MED48518.2020.9183239

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T2 - 28th Mediterranean Conference on Control and Automation

Y2 - 15 September 2020 through 18 September 2020

ER -

Numerical Analysis of Exponential and BIBS Stability for Linear Discrete Time-Variant Systems using Bohl Exponents

Abstract

Conference

ASJC Scopus subject areas

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