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 |
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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 |
ASJC Scopus subject areas
- Control and Systems Engineering
- Computer Science Applications