Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
722814 | IFAC Proceedings Volumes | 2007 | 6 Pages |
Abstract
This paper deals with the problem of positive observation for linear positive time-lag systems for which the states take nonnegative values whenever the initial conditions are nonnegative. That is, the design of positive observers (possibly with time-lag) which guarantee nonnegative estimates of the current states of linear time-lag positive systems. The provided conditions for the existence of a positive observer (extended Luemberger-type) are necessary and sufficient and solvable in terms of Linear Programming (LP). Also, it is shown that it is no longer possible to stabilize any unstable time-lag positive system by using extended Luenberger-type positive observers.
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