Sampled Describing Function Analysis of Second Order Sliding Modes

Publikation: Beitrag in Buch/Bericht/KonferenzbandBeitrag in einem KonferenzbandForschungBegutachtung

Abstract

The describing function method is applied to characterize the steady state behavior of the linear sampled data systems stabilized by a second-order sliding mode algorithm. A describing function of the nonlinearity including a sample and hold element is derived. The proposed method allows to predict the amplitude, frequency and phase of occurring limit cycles caused by the discrete time implementation of discontinuous control algorithms. It is shown that the derived describing function is closely related to its classical continuous time counterpart. The proposed approach is demonstrated using a numerical simulation example as well as a real world experiment.
Originalspracheenglisch
TitelDecision and Control (CDC), 2016 IEEE 55th Conference on
Seiten7318-7324
Seitenumfang7
ISBN (elektronisch) 978-1-5090-1837-6
DOIs
PublikationsstatusVeröffentlicht - 29 Dez 2016
Veranstaltung 55th IEEE Conference on Decision and Control - ARIA Resort & Casino, Las Vegas, USA / Vereinigte Staaten
Dauer: 12 Dez 201614 Dez 2016
http://cdc2016.ieeecss.org/

Konferenz

Konferenz 55th IEEE Conference on Decision and Control
LandUSA / Vereinigte Staaten
OrtLas Vegas
Zeitraum12/12/1614/12/16
Internetadresse

Fingerprint

Describing functions
Computer simulation
Experiments

Dies zitieren

Koch, S., Reichhartinger, M., Horn, M., & Fridman, L. (2016). Sampled Describing Function Analysis of Second Order Sliding Modes. in Decision and Control (CDC), 2016 IEEE 55th Conference on (S. 7318-7324) https://doi.org/10.1109/CDC.2016.7799399

Sampled Describing Function Analysis of Second Order Sliding Modes. / Koch, Stefan; Reichhartinger, Markus; Horn, Martin; Fridman, Leonid.

Decision and Control (CDC), 2016 IEEE 55th Conference on. 2016. S. 7318-7324.

Publikation: Beitrag in Buch/Bericht/KonferenzbandBeitrag in einem KonferenzbandForschungBegutachtung

Koch, S, Reichhartinger, M, Horn, M & Fridman, L 2016, Sampled Describing Function Analysis of Second Order Sliding Modes. in Decision and Control (CDC), 2016 IEEE 55th Conference on. S. 7318-7324, Las Vegas, USA / Vereinigte Staaten, 12/12/16. https://doi.org/10.1109/CDC.2016.7799399
Koch S, Reichhartinger M, Horn M, Fridman L. Sampled Describing Function Analysis of Second Order Sliding Modes. in Decision and Control (CDC), 2016 IEEE 55th Conference on. 2016. S. 7318-7324 https://doi.org/10.1109/CDC.2016.7799399
Koch, Stefan ; Reichhartinger, Markus ; Horn, Martin ; Fridman, Leonid. / Sampled Describing Function Analysis of Second Order Sliding Modes. Decision and Control (CDC), 2016 IEEE 55th Conference on. 2016. S. 7318-7324
@inproceedings{0d6bdd1dcd224542b1149370e08f6643,
title = "Sampled Describing Function Analysis of Second Order Sliding Modes",
abstract = "The describing function method is applied to characterize the steady state behavior of the linear sampled data systems stabilized by a second-order sliding mode algorithm. A describing function of the nonlinearity including a sample and hold element is derived. The proposed method allows to predict the amplitude, frequency and phase of occurring limit cycles caused by the discrete time implementation of discontinuous control algorithms. It is shown that the derived describing function is closely related to its classical continuous time counterpart. The proposed approach is demonstrated using a numerical simulation example as well as a real world experiment.",
author = "Stefan Koch and Markus Reichhartinger and Martin Horn and Leonid Fridman",
year = "2016",
month = "12",
day = "29",
doi = "10.1109/CDC.2016.7799399",
language = "English",
pages = "7318--7324",
booktitle = "Decision and Control (CDC), 2016 IEEE 55th Conference on",

}

TY - GEN

T1 - Sampled Describing Function Analysis of Second Order Sliding Modes

AU - Koch, Stefan

AU - Reichhartinger, Markus

AU - Horn, Martin

AU - Fridman, Leonid

PY - 2016/12/29

Y1 - 2016/12/29

N2 - The describing function method is applied to characterize the steady state behavior of the linear sampled data systems stabilized by a second-order sliding mode algorithm. A describing function of the nonlinearity including a sample and hold element is derived. The proposed method allows to predict the amplitude, frequency and phase of occurring limit cycles caused by the discrete time implementation of discontinuous control algorithms. It is shown that the derived describing function is closely related to its classical continuous time counterpart. The proposed approach is demonstrated using a numerical simulation example as well as a real world experiment.

AB - The describing function method is applied to characterize the steady state behavior of the linear sampled data systems stabilized by a second-order sliding mode algorithm. A describing function of the nonlinearity including a sample and hold element is derived. The proposed method allows to predict the amplitude, frequency and phase of occurring limit cycles caused by the discrete time implementation of discontinuous control algorithms. It is shown that the derived describing function is closely related to its classical continuous time counterpart. The proposed approach is demonstrated using a numerical simulation example as well as a real world experiment.

U2 - 10.1109/CDC.2016.7799399

DO - 10.1109/CDC.2016.7799399

M3 - Conference contribution

SP - 7318

EP - 7324

BT - Decision and Control (CDC), 2016 IEEE 55th Conference on

ER -