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Adaptation and regulation with signal detection implies internal model

✍ Scribed by Eduardo D. Sontag

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
246 KB
Volume
50
Category
Article
ISSN
0167-6911

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✦ Synopsis

This note provides a simple result showing, under suitable technical assumptions, that if a system adapts to a class of external signals U, in the sense of regulation against disturbances or tracking signals in U, then must necessarily contain a subsystem which is capable of generating all the signals in U. It is not assumed that regulation is robust, nor is there a prior requirement for the system to be partitioned into separate plant and controller components. Instead, one assumes that a "signal detection" property holds.

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