SMC design for robust H∞ control of uncertain stochastic delay systems

Lirong Huang, Xuerong Mao

Research output: Contribution to journalArticle

53 Citations (Scopus)

Abstract

Recently, sliding mode control method has been extended to accommodate stochastic systems. However, the existing results employ an assumption that may be too restrictive for many stochastic systems. This paper aims to remove this assumption and present in terms of LMIs a sliding mode control design method for stochastic systems with state delay. In some cases, the proposed method provides a control scheme for finite-time stabilization of stochastic delay systems.
LanguageEnglish
Pages405-412
Number of pages8
JournalAutomatica
Volume46
Issue number2
DOIs
Publication statusPublished - Feb 2010

Fingerprint

Stochastic systems
Sliding mode control
Stabilization

Keywords

  • sliding mode control
  • stochastic systems
  • time delay
  • robust control
  • finite-time stabilization

Cite this

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title = "SMC design for robust H∞ control of uncertain stochastic delay systems",
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SMC design for robust H∞ control of uncertain stochastic delay systems. / Huang, Lirong; Mao, Xuerong.

In: Automatica, Vol. 46, No. 2, 02.2010, p. 405-412.

Research output: Contribution to journalArticle

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AU - Mao, Xuerong

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AB - Recently, sliding mode control method has been extended to accommodate stochastic systems. However, the existing results employ an assumption that may be too restrictive for many stochastic systems. This paper aims to remove this assumption and present in terms of LMIs a sliding mode control design method for stochastic systems with state delay. In some cases, the proposed method provides a control scheme for finite-time stabilization of stochastic delay systems.

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KW - stochastic systems

KW - time delay

KW - robust control

KW - finite-time stabilization

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