Graph Approximating SM Discretization

Avi Hanan, Adam Jbara, Arie Levant

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

Abstract

Modern practical sliding mode (SM) control (SMC) involves discrete noisy sampling. Standard SMC discretizations feature the chattering effect, while implicit Euler methods need significant model knowledge, constant sampling steps and are difficult in application for higher relative degrees and multiple discontinuities. The proposed universal discretization method is based on the graph approximation of Filippov inclusions. It guaranties convergence to the continuous-time solutions and is computationally-simple. For the first time we demonstrate low-chattering discretization in the presence of large noises and multiple discontinuities.

Original languageEnglish
Title of host publicationIFAC-PapersOnLine
EditorsHideaki Ishii, Yoshio Ebihara, Jun-ichi Imura, Masaki Yamakita
PublisherElsevier B.V.
Pages1627-1632
Number of pages6
Edition2
ISBN (Electronic)9781713872344
DOIs
StatePublished - 1 Jul 2023
Event22nd IFAC World Congress - Yokohama, Japan
Duration: 9 Jul 202314 Jul 2023

Publication series

NameIFAC-PapersOnLine
Number2
Volume56

Conference

Conference22nd IFAC World Congress
Country/TerritoryJapan
CityYokohama
Period9/07/2314/07/23

Keywords

  • Discrete output-feedback control
  • chattering
  • filtering
  • sliding mode control

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering

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