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.
N1 - Funding Information:
The partial support of the National Science Foundation (NSF ECS99-12458 and CCR01-13131) is gratefully acknowledged. The first author appreciates the support from Center of Applied Mathematics Fellowship (2003-04), University of Notre Dame.
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.
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U2 - 10.1080/00207170310001626798
DO - 10.1080/00207170310001626798
M3 - Article
AN - SCOPUS:0344395213
VL - 76
SP - 1644
EP - 1653
JO - International Journal of Control
JF - International Journal of Control
SN - 0020-7179
IS - 16
ER -