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

Hai Lin, Guisheng Zhai, Panos J. Antsaklis

Research output: Chapter in Book/Report/Conference proceedingConference contribution

12 Citations (Scopus)

Abstract

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
Title of host publicationProceedings of the American Control Conference
Pages1902-1907
Number of pages6
Volume3
Publication statusPublished - 2003
Externally publishedYes
Event2003 American Control Conference - Denver, CO, United States
Duration: 2003 Jun 42003 Jun 6

Other

Other2003 American Control Conference
CountryUnited States
CityDenver, CO
Period03/6/403/6/6

Fingerprint

Lyapunov functions
Set theory
Error analysis
Linear systems

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Lin, H., Zhai, G., & Antsaklis, P. J. (2003). Set-Valued Observer Design for a Class of Uncertain Linear Systems with Persistent Disturbance. In Proceedings of the American Control Conference (Vol. 3, pp. 1902-1907)

Set-Valued Observer Design for a Class of Uncertain Linear Systems with Persistent Disturbance. / Lin, Hai; Zhai, Guisheng; Antsaklis, Panos J.

Proceedings of the American Control Conference. Vol. 3 2003. p. 1902-1907.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Lin, H, Zhai, G & Antsaklis, PJ 2003, Set-Valued Observer Design for a Class of Uncertain Linear Systems with Persistent Disturbance. in Proceedings of the American Control Conference. vol. 3, pp. 1902-1907, 2003 American Control Conference, Denver, CO, United States, 03/6/4.
Lin H, Zhai G, Antsaklis PJ. Set-Valued Observer Design for a Class of Uncertain Linear Systems with Persistent Disturbance. In Proceedings of the American Control Conference. Vol. 3. 2003. p. 1902-1907
Lin, Hai ; Zhai, Guisheng ; Antsaklis, Panos J. / Set-Valued Observer Design for a Class of Uncertain Linear Systems with Persistent Disturbance. Proceedings of the American Control Conference. Vol. 3 2003. pp. 1902-1907
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