SMC for Discrete Semi-Markov Switching Slow Sampling Singularly Perturbed Models With Applications

Wenhai Qi, Ning Zhang, Guangdeng Zong, Choon Ki Ahn

Research output: Contribution to journalArticlepeer-review

Abstract

The sliding mode control (SMC) is addressed for discrete-time semi-Markov switching slow sampling singularly perturbed models. Under only the part known semi-Markov kernel, the ϵ-dependent sliding function is designed for the underlying system. Based on the upper bound of the sojourn time of each system mode, sufficient conditions are obtained for mean-square stability. Then, a strategy to estimate the upper bound of the singularly perturbed parameter is given under an incomplete semi-Markov kernel. Moreover, an appropriate SMC scheme is synthesized to drive the system states onto the pre-specified sliding region. An inverted pendulum model is adopted to verify the practicability of the proposed strategy.

Original languageEnglish
Pages (from-to)1910-1919
Number of pages10
JournalIEEE Transactions on Circuits and Systems I: Regular Papers
Volume71
Issue number4
DOIs
Publication statusPublished - 2024 Apr 1

Bibliographical note

Publisher Copyright:
© 2004-2012 IEEE.

Keywords

  • mean-square stability
  • singularly perturbed parameter
  • Sliding mode control

ASJC Scopus subject areas

  • Hardware and Architecture
  • Electrical and Electronic Engineering

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