Sampled Describing Function Analysis of Second Order Sliding Modes

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

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.
Original languageEnglish
Title of host publicationDecision and Control (CDC), 2016 IEEE 55th Conference on
Pages7318-7324
Number of pages7
ISBN (Electronic) 978-1-5090-1837-6
DOIs
Publication statusPublished - 29 Dec 2016
Event 55th IEEE Conference on Decision and Control - ARIA Resort & Casino, Las Vegas, United States
Duration: 12 Dec 201614 Dec 2016
http://cdc2016.ieeecss.org/

Conference

Conference 55th IEEE Conference on Decision and Control
CountryUnited States
CityLas Vegas
Period12/12/1614/12/16
Internet address

Fingerprint

Describing functions
Computer simulation
Experiments

Cite this

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 (pp. 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. p. 7318-7324.

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

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. pp. 7318-7324, 55th IEEE Conference on Decision and Control, Las Vegas, United States, 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. p. 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. pp. 7318-7324
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