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Towards a PacketBased Control Theory  Part I: Stabilization over a PacketBased Network 
Abstract 
In this paper, we study the classical prob … In this paper, we study the classical problem
of stabilizing a Linear Time Invariant (LTI) system in a
packetbased network setting. We assume that the LTI system
is unstable but both controllable and observable. The state
information is transmitted to the controller over a packetbased
network. We also assume that there is a perfect link
from the controller to the plant. We give a set of sufficient
conditions under which the system can be stabilized for a
given data rate C. In particular, these conditions can yield an
upper bound on the minimum C for which the system can
be stabilized. A recursive encodingdecoding scheme and an
associated control law are proposed to achieve stability for
rate exceeding this bound. An optimal bit allocation problem
is investigated in which we ask about how to allocate the
bits in a single packet for a subsystem of a general LTI
system such that a minimum upper bound on the data rate is
achieved.We then formulate the optimal bit allocation problem
as a Linear Matrix Inequality (LMI) optimization problem
which can be solved efficiently using standard Semidefinite
Programming (SDP) solvers. Examples and simulations are
given to demonstrate the results. ions are
given to demonstrate the results. +


Authors  Ling Shi and Richard M. Murray + 
ID  2004z + 
Source  2005 American Control Conference (ACC) + 
Tag  sm05bacc + 
Title  Towards a PacketBased Control Theory  Part I: Stabilization over a PacketBased Network + 
Type  Conference Paper + 
Categories  Papers 
Modification date This property is a special property in this wiki.

15 May 2016 06:18:05 + 
URL This property is a special property in this wiki.

http://www.cds.caltech.edu/~murray/preprints/sm05bacc.pdf + 
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Towards a PacketBased Control Theory  Part I: Stabilization over a PacketBased Network +  Title 
