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 language | English |
|---|---|
| Pages (from-to) | 1644-1653 |
| Number of pages | 10 |
| Journal | International Journal of Control |
| Volume | 76 |
| Issue number | 16 |
| DOIs | |
| Publication status | Published - 2003 Nov 10 |
| Externally published | Yes |
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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 journal › Article
}
TY - JOUR
T1 - Set-valued observer design for a class of uncertain linear systems with persistent disturbance and measurement noise
AU - Lin, Hai
AU - Zhai, Guisheng
AU - Antsaklis, Panos J.
PY - 2003/11/10
Y1 - 2003/11/10
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0344395213&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0344395213&partnerID=8YFLogxK
U2 - 10.1080/00207170310001626798
DO - 10.1080/00207170310001626798
M3 - Article
VL - 76
SP - 1644
EP - 1653
JO - International Journal of Control
JF - International Journal of Control
SN - 0020-7179
IS - 16
ER -