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	<id>https://murray.cds.caltech.edu/index.php?action=history&amp;feed=atom&amp;title=Optimal_LQG_Control_Across_a_Packet-Dropping_Link</id>
	<title>Optimal LQG Control Across a Packet-Dropping Link - Revision history</title>
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	<updated>2026-06-28T19:32:28Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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		<id>https://murray.cds.caltech.edu/index.php?title=Optimal_LQG_Control_Across_a_Packet-Dropping_Link&amp;diff=19895&amp;oldid=prev</id>
		<title>Murray: htdb2wiki: creating page for 2004o_gshm04-scl.html</title>
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		<updated>2016-05-15T06:18:15Z</updated>

		<summary type="html">&lt;p&gt;htdb2wiki: creating page for 2004o_gshm04-scl.html&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{HTDB paper&lt;br /&gt;
| authors = Vijay Gupta, Demetri Spanos, Babak Hassibi, Richard M Murray&lt;br /&gt;
| title = Optimal LQG Control Across a Packet-Dropping Link&lt;br /&gt;
| source = Submitted, &amp;lt;i&amp;gt;Systems and Control Letters&amp;lt;/i&amp;gt;&lt;br /&gt;
| year = 2005&lt;br /&gt;
| type = &lt;br /&gt;
Journal Submission&lt;br /&gt;
| funding = AFOSR&lt;br /&gt;
| url = http://www.cds.caltech.edu/~murray/preprints/gshm05-scl.pdf&lt;br /&gt;
| abstract = &lt;br /&gt;
We examine optimal Linear Quadratic Gaussian control for a system in which communication between&lt;br /&gt;
the sensor (output of the plant) and the controller occurs across a packet-dropping link. We extend the&lt;br /&gt;
familiar LQG separation principle to this problem that allows us to solve this problem using a standard&lt;br /&gt;
LQR state-feedback design, along with an optimal algorithm for propagating and using the information&lt;br /&gt;
across the unreliable link. We present one such optimal algorithm, which consists of a Kalman Filter at&lt;br /&gt;
the sensor side of the link, and a switched linear filter at the controller side. Our design does not assume&lt;br /&gt;
any statistical model of the packet drop events, and is thus optimal for an arbitrary packet drop pattern.&lt;br /&gt;
Further, the solution is appealing from a practical point of view because it can be implemented as a&lt;br /&gt;
small modification of an existing LQG control design.&lt;br /&gt;
| flags = &lt;br /&gt;
| tag = gshm04-scl&lt;br /&gt;
| id = 2004o&lt;br /&gt;
}}&lt;/div&gt;</summary>
		<author><name>Murray</name></author>
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