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Optimal Selection of Sampling Rate in Multiple H2 Control Loops

Authors:
Antonio Sala
Carlos Ariño
Julio Romero
Roberto Sanchis

Keywords: network control; optimal sampling frequency; network resource sharing

Abstract:
In this paper, the scheduling of the sampling frequencies of a set of independent controllers that share a limited resource is addressed. Bandwidth or CPU time limitations are assumed to be translated to constraints on the sum of the sampling frequencies. For the individual loops, ${H}_2$ sampled-data controllers are proposed, whose performance indexes can be calculated for the different sampling frequencies. A weighted sum of the individual loop performance conforms a global cost index. The problem is then posed as an optimization one, and some sensible simplifying alternatives are proposed, based on a grid of frequency points, that allow to solve it with Linear Programming (and hence with a low computing cost).

Pages: 23 to 27

Copyright: Copyright (c) IARIA, 2010

Publication date: October 25, 2010

Published in: conference

ISSN: 2308-4499

ISBN: 978-1-61208-101-4

Location: Florence, Italy

Dates: from October 25, 2010 to October 30, 2010