Set-Valued Observer Design for a Class of Uncertain Linear Systems with Persistent Disturbance

Hai Lin, Guisheng Zhai, Panos J. Antsaklis

Research output: Contribution to journalConference article

12 Citations (Scopus)


In this paper, a class of linear systems affected by both parameter variations and additive disturbances is considered. The problem of designing a set-valued state observer, which estimates a region containing the real state for each time being, 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 exponentially converges to a given compact set with an assigned rate of convergence.

Original languageEnglish
Pages (from-to)1902-1907
Number of pages6
JournalProceedings of the American Control Conference
Publication statusPublished - 2003 Nov 6
Event2003 American Control Conference - Denver, CO, United States
Duration: 2003 Jun 42003 Jun 6


ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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