Almost Sure Finite-Time Control for Markovian Jump Systems Under Asynchronous Switching With Applications: A Sliding Mode Approach

Yao Wang, Shengyuan Xu, Choon Ki Ahn

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

The almost sure finite-time sliding mode control issue is investigated for Markov jump systems. The switching asynchronism between the constructed controller and considered systems is studied. The influence of time-varying delays and disturbances on systems is fully considered, and the sliding mode controller design within a finite time interval is extended to the probability framework. First, the finite time interval is divided into the reaching and the sliding motion phases, and the almost sure finite-time boundedness is analyzed in both phases. Second, the sliding mode controller gain is determined by the provided linear matrix inequality-based criteria. Finally, a numerical example and DC-DC buck converter circuit example verify the effectiveness and less conservativeness of our method.

Original languageEnglish
Pages (from-to)3726-3735
Number of pages10
JournalIEEE Transactions on Circuits and Systems I: Regular Papers
Volume69
Issue number9
DOIs
Publication statusPublished - 2022 Sept 1

Bibliographical note

Publisher Copyright:
© 2004-2012 IEEE.

Keywords

  • Almost sure stability
  • Markovian jump systems
  • asynchronous switching
  • finite-time control
  • sliding mode control

ASJC Scopus subject areas

  • Hardware and Architecture
  • Electrical and Electronic Engineering

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