Set-valued observer design for a class of uncertain linear systems with persistent disturbance and measurement noise

Hai Lin, Guisheng Zhai, Panos J. Antsaklis

Research output: Contribution to journalArticle

20 Citations (Scopus)


In this paper, a class of linear systems affected by parameter variations, additive noise and persistent disturbances is considered. The problem of designing a set-valued state observer, which estimates a region containing the real state for each time instant, is investigated. The techniques for designing the observer are based on positive invariant set theory. By constructing a set-induced Lyapunov function, it is shown that the estimation error converges exponentially to a given compact set with an assigned rate of convergence.

Original languageEnglish
Pages (from-to)1644-1653
Number of pages10
JournalInternational Journal of Control
Issue number16
Publication statusPublished - 2003 Nov 10


ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications

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