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)

Abstract

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
Volume76
Issue number16
DOIs
Publication statusPublished - 2003 Nov 10
Externally publishedYes

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Additive noise
Lyapunov functions
Set theory
Error analysis
Linear systems

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Set-valued observer design for a class of uncertain linear systems with persistent disturbance and measurement noise. / Lin, Hai; Zhai, Guisheng; Antsaklis, Panos J.

In: International Journal of Control, Vol. 76, No. 16, 10.11.2003, p. 1644-1653.

Research output: Contribution to journalArticle

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