Practical stability analysis of sliding-mode control with explicit computation of sampling time

Pavel Osinenko, Grigory Devadze, Stefan Streif

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

Sliding-mode control is a wide-spread approach to a number of practical problems. The classical stability analyses of sliding-mode control had to face the difficulty of defining a trajectory of a system whose dynamics are discontinuous in the state variable. Different generalizations of the system trajectory were suggested, such as Filippov solutions. Another generalization is based on the sample-and-hold framework, where the system dynamics are in continuous time and the control is changed only at certain discrete times. The current work addresses the sample-and-hold stability analysis of sliding-mode control with special attention to an explicit computation of the required controller sampling time. A computational example is provided.

Original languageEnglish
Pages (from-to)1692-1699
Number of pages8
JournalAsian Journal of Control
Volume22
Issue number4
DOIs
Publication statusPublished - 1 Jul 2020
Externally publishedYes

Keywords

  • computational methods
  • numerical methods
  • sample-and-hold
  • sliding-mode control
  • stability analysis

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