Robust observer design for nonlinear uncertain switched systems under asynchronous switching

Weiming Xiang, Jian Xiao, Muhammad Naveed Iqbal

Research output: Contribution to journalArticle

48 Scopus citations

Abstract

Switching between the system and the associated observer or controller is in fact asynchronous in switched control systems. However, many times we assume it synchronous, for simplicity. In this paper, the robust observer design problems for a class of nonlinear uncertain switched systems for synchronous and asynchronous switching are addressed. At first, a robust observer under synchronous switching is proposed based on average dwell time approach. After that, the results are extended to robust observer design in the asynchronous case. In this case, two working modes are adopted to facilitate the studies on the issue. Finally, an extension case covering more practical applications is investigated under asynchronous switching. The designed observer cannot maintain the asymptotical stability of error state, but the eventual boundness is guaranteed. At the end, a numerical design example is given to illustrate our results.

Original languageEnglish (US)
Pages (from-to)754-773
Number of pages20
JournalNonlinear Analysis: Hybrid Systems
Volume6
Issue number1
DOIs
StatePublished - Feb 1 2012
Externally publishedYes

Keywords

  • Asynchronous switching
  • Average dwell time
  • Eventual boundness
  • Observer
  • Switched system

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Analysis
  • Computer Science Applications

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