Robust passive control for uncertain nonlinear neutral Markovian jump systems with mode-dependent time-delays

Jiqing Qiu*, Kunfeng Lu, Magdi S. Mahmoud, Na Yao, Xiaoming Du

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

This paper is concerned with the problem of robust passive control for uncertain nonlinear neutral system with mode-dependent time delays and Markovian jump parameters. First, novel robust stability criterion is investigated by utilizing the Lya- punov functional and combining with linear matrix inequality (LMI) approach. Then, a state feedback controller with Markovian jump parameters is established to guarantee that the resulting closed-loop system is robustly stable with an passive performance level. The time-varying delay function in this paper is not required to be either continuously differentiable, or its derivative less than one and dependent on the mode of operation. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach.

Original languageEnglish
Pages (from-to)119-126
Number of pages8
JournalICIC Express Letters
Volume5
Issue number1
StatePublished - Jan 2011

Keywords

  • Linear matrix inequalities (LMIs)
  • Markovian jumping systems
  • Mode-dependent time delays
  • Robust passive control

ASJC Scopus subject areas

  • Control and Systems Engineering
  • General Computer Science

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