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

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 des...

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Bibliographic Details
Published in:International journal of control 2003-11, Vol.76 (16), p.1644-1653
Main Authors: Lin, Hai, Zhai, Guisheng, Antsaklis, Panos J.
Format: Article
Language:English
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Summary: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.
ISSN:0020-7179
1366-5820
DOI:10.1080/00207170310001626798