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Article #27

Nonquadratic Control Costs (Minimum Fuel?)

#27
From: Andrew Mullhaupt
Date: Mon, 14 Sep 1992 00:52
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If you change the control costs in the classical Linear Quadratic
tracking problem from a quadratic form, say u^2, to a term of the
form |u|, does anyone know what to do next?

Note that the Tracking error is still quadratic, so it is not obvious
that L_1 control helps.

I have the idea that this kind of problem may have been called "minimum
fuel" at some point, but I don't really know.

Thanks in Advance,
Andrew Mullhaupt
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Message-ID: <1244@kepler1.rentec.com>
Path: arc1-ca.pugleaf.net!sparky!uunet!gatech!rpi!newsserver.pixel.kodak.com!psinntp!psinntp!kepler1!andrew

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Path: arc1-ca.pugleaf.net!sparky!uunet!gatech!rpi!newsserver.pixel.kodak.com!psinntp!psinntp!kepler1!andrew
From: andrew@rentec.com (Andrew Mullhaupt)
Newsgroups: sci.engr.control
Subject: Nonquadratic Control Costs (Minimum Fuel?)
Message-ID: <1244@kepler1.rentec.com>
Date: 14 Sep 92 00:52:19 GMT
Organization: Renaissance Technologies Corp., Setuket, NY
Lines: 12