Dynamical behaviours of an Euler discretized sliding mode control systems

Shaocheng Qu, Xiaohua Xia, Jiangfeng Zhang

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

The dynamical behaviors of an Euler discretized sliding mode control (SMC) systems based on equivalent control strategy are studied. A periodic-2 orbit in steady state is found for the switching function of the Euler discretized SMC systems. The time steps for the switching function to converge toward the periodic-2 orbit are obtained. When the discretized SMC system is stable, it further shows that the system states of the SMC systems will also enter into some periodic-2 orbits, and these periodic-2 orbits are characterized by explicit analytic expressions. Finally, simulation examples are given to illustrate the theoretical results.
Original languageEnglish
Pages (from-to)2525-2529
Number of pages5
JournalIEEE Transactions on Automatic Control
Volume59
Issue number9
Early online date26 Feb 2014
DOIs
Publication statusPublished - Sep 2014

Keywords

  • time-varying systems
  • switching functions
  • equivalent control strategy
  • Euler discretized sliding mode control systems

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