Asymptotic Stability Analysis of Lur'e Systems With Butterfly Hysteresis Nonlinearities

Marco Vasquez Beltran; Bayu Jayawardhana; Reynier Peletier

doi:10.1109/LCSYS.2019.2921850

Asymptotic Stability Analysis of Lur'e Systems With Butterfly Hysteresis Nonlinearities

Marco Vasquez Beltran^*, Bayu Jayawardhana, Reynier Peletier

^*Corresponding author for this work

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

5 Citations (Scopus)

Abstract

We study the asymptotic stability of Lur'e systems with butterfly hysteresis nonlinearities modeled by the Preisach operators with respect to a set of equilibrium points. We present the input-output rate property of the Preisach operators that exhibit butterfly hysteresis behavior. Based on this characterization, we present sufficient conditions on the linear systems that guarantee the asymptotic stability of the closed-loop system to a set of equilibrium points via circle criterion. Finally numerical simulations are presented to demonstrate these results.

Original language	English
Article number	8755307
Pages (from-to)	349-354
Number of pages	6
Journal	IEEE Control Systems Letters
Volume	4
Issue number	2
DOIs	https://doi.org/10.1109/LCSYS.2019.2921850
Publication status	Published - Apr-2020
Event	58th Conference on Decision and Control (CDC2019) - Nice, France Duration: 11-Dec-2019 → 13-Dec-2019

Keywords

Stability of nonlinear systems
nonlinear output feedback
mechatronics

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10.1109/LCSYS.2019.2921850

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Asymptotic Stability Analysis of Lur’e SystemsWith Butterfly Hysteresis Nonlinearities
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title = "Asymptotic Stability Analysis of Lur'e Systems With Butterfly Hysteresis Nonlinearities",

abstract = "We study the asymptotic stability of Lur'e systems with butterfly hysteresis nonlinearities modeled by the Preisach operators with respect to a set of equilibrium points. We present the input-output rate property of the Preisach operators that exhibit butterfly hysteresis behavior. Based on this characterization, we present sufficient conditions on the linear systems that guarantee the asymptotic stability of the closed-loop system to a set of equilibrium points via circle criterion. Finally numerical simulations are presented to demonstrate these results.",

keywords = "Stability of nonlinear systems, nonlinear output feedback, mechatronics",

author = "{Vasquez Beltran}, Marco and Bayu Jayawardhana and Reynier Peletier",

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language = "English",

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AU - Vasquez Beltran, Marco

AU - Jayawardhana, Bayu

AU - Peletier, Reynier

PY - 2020/4

Y1 - 2020/4

N2 - We study the asymptotic stability of Lur'e systems with butterfly hysteresis nonlinearities modeled by the Preisach operators with respect to a set of equilibrium points. We present the input-output rate property of the Preisach operators that exhibit butterfly hysteresis behavior. Based on this characterization, we present sufficient conditions on the linear systems that guarantee the asymptotic stability of the closed-loop system to a set of equilibrium points via circle criterion. Finally numerical simulations are presented to demonstrate these results.

AB - We study the asymptotic stability of Lur'e systems with butterfly hysteresis nonlinearities modeled by the Preisach operators with respect to a set of equilibrium points. We present the input-output rate property of the Preisach operators that exhibit butterfly hysteresis behavior. Based on this characterization, we present sufficient conditions on the linear systems that guarantee the asymptotic stability of the closed-loop system to a set of equilibrium points via circle criterion. Finally numerical simulations are presented to demonstrate these results.

KW - Stability of nonlinear systems

KW - nonlinear output feedback

KW - mechatronics

U2 - 10.1109/LCSYS.2019.2921850

DO - 10.1109/LCSYS.2019.2921850

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VL - 4

SP - 349

EP - 354

JO - IEEE Control Systems Letters

JF - IEEE Control Systems Letters

SN - 2475-1456

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T2 - 58th Conference on Decision and Control (CDC2019)

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