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CATEGORIES:CUED Control Group Seminars
SUMMARY:Information Flows in Cooperative Networked Control
Systems - Dr Girish Nair (University of Melbourne
\, Australia)
DTSTART;TZID=Europe/London:20080304T140000
DTEND;TZID=Europe/London:20080304T150000
UID:TALK10474AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/10474
DESCRIPTION:The control-theoretic equivalent of Ahlswede et. a
l's network information theory is the problem of d
etermining the rates at which information must flo
w between system components in order to be able to
cooperatively achieve closed loop stability. This
talk considers the case of a linear\, time-invari
ant plant with multiple sensors and actuators that
communicate with each other over a network of dir
ectional digital channels with finite bit rates. I
t is shown that\, under the stabilisation objectiv
e\, the graph of the system possesses a structure
that permits a fluid flow interpretation. A necess
ary and almost sufficient condition for determinin
g uniform stabilisability is derived\, in terms of
the feasibility of a set of linear inequalities i
n the unstable eigenvalues of the plant and the bi
t rates of the channels. This provides an exact ch
aracterisation\, up to boundary points\, of the re
gion of all stabilising channel bit rate vectors.
The auxiliary variables in this criterion have a n
atural interpretation as the effective rates of in
formation flow associated with each unstable mode.
When channel rates are set to either zero or infi
nity\, this agrees with a classical result on dece
ntralised stabilisability under linear\, time-vary
ing control.
LOCATION: Cambridge University Engineering Department\, Lec
ture Room 4
CONTACT:Dr Guy-Bart Stan
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