View source for Towards a Packet-based Control Theory - Part II: Rate Issues

{{HTDB paper
| authors = Ling Shi and Richard M. Murray
| title = Towards a Packet-based Control Theory - Part II: Rate Issues
| source = Submitted, 2006 American Control Conference
| year = 2005
| type = Conference Paper
| funding = NSF/ITR
| url = http://www.cds.caltech.edu/~murray/preprints/sm06-acc.pdf
| abstract = 
Following the first part [Shi and Murray, 2005] of stabilizing a
Linear Time Invariant (LTI) system in a packet-based network,
this paper further studies various rate issues associated
with networked control systems. Specifically, networks with
finite bandwidth and packet drops and systems with finite
control inputs are studied in details. Similar to what we
did in [Ling and Murray, 2005], we assume that the LTI system is unstable but
both controllable and observable. The state information is
transmitted to the controller over a packet-based network. We
also assume that there is a perfect link from the controller
to the plant. However, we change the notion of the system
being asymptotically stable to almost sure stable which is in a
probabilistic framework. This is because packet drops by the
network introduce unavoidable randomness. With the notion
of almost sure stability, various rate results under different
settings are given. Examples and simulations are provided to
demonstrate the results.
| flags = 
| tag = sm06-acc
| id = 2005n
}}