View source for Existence of Cascade Discrete-Continuous State Estimators for Systems on a Partial Order

{{HTDB paper
| authors = Domtilla Del Vecchio and Richard M. Murray
| title = Existence of Cascade Discrete-Continuous State Estimators for Systems on a Partial Order
| source = <i>Lecture Notes in Computer Science</i> 3414:226--241
| year = 2005
| type = Conference Paper
| funding = NSF/SENSOR
| url = http://www.cds.caltech.edu/~murray/preprints/dm05-hscc.pdf
| abstract = 
In this paper, a cascade discrete-continuous state estimator on a partial
order is proposed and its existence investigated. The continuous state estimation
error is bounded by a monotonically nonincreasing function of the discrete state
estimation error, with both the estimation errors converging to zero. This work
shows that the lattice approach to estimation is general as the proposed estimator
can be constructed for any observable and discrete state observable system.
The main advantage of using the lattice approach for estimation becomes clear
when the system has monotone properties that can be exploited in the estimator
design. In such a case, the computational complexity of the estimator can be drastically
reduced and tractability can be achieved. Some examples are proposed to
illustrate these ideas.
| flags = 
| tag = dm05-hscc
| id = 2004v
}}