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 |
ASJC Scopus subject areas
- Control and Systems Engineering
- Computer Science Applications
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Lin, H., Zhai, G., & Antsaklis, P. J. (2003). Set-valued observer design for a class of uncertain linear systems with persistent disturbance and measurement noise. International Journal of Control, 76(16), 1644-1653. https://doi.org/10.1080/00207170310001626798