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

Hai Lin; Guisheng Zhai; Panos J. Antsaklis

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

Hai Lin, Guisheng Zhai, Panos J. Antsaklis

研究成果: Conference article

抄録

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.

本文言語	English
ページ（範囲）	1902-1907
ページ数	6
ジャーナル	Proceedings of the American Control Conference
巻	3
出版ステータス	Published - 2003 11 6
外部発表	はい
イベント	2003 American Control Conference - Denver, CO, United States 継続期間: 2003 6 4 → 2003 6 6

ASJC Scopus subject areas

Electrical and Electronic Engineering

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引用スタイル

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AB - 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.

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