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The Center for Control, Dynamical Systems, and Computation University of California at Santa Barbara
 

Summary: The Center for Control, Dynamical Systems, and Computation
University of California at Santa Barbara
Spring 2008 Seminar Series
Presents
Minimum Variance Control over a Gaussian
Communication Channel
Jim Freudenberg
University of Michigan
Friday, April 4, 2008 4:00-5:00pm Harold Frank Hall 1104
Abstract:
Much work has been devoted to the problem of finding the minimum channel ca-
pacity required to stabilize an unstable plant. Much less is known about the prob-
lem of achieving performance goals with a communication channel in the feed-
back loop. In this talk, we consider the problem of minimizing the variance of the
plant output using a measurement obtained from an additive white Gaussian noise
channel. There are two differences between this problem and the standard LQG
problem: the presence of a power constraint at the channel input, and the ability to
add compensation both before and after the noisy channel (the encoder and de-
coder). We use ideas from stochastic control, estimation, and information theory
to design communication and control strategies to minimize a measure of the dis-

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

 

Collections: Mathematics