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Robust Control of Non-Periodic Channel Flow

[+] Author Affiliations
Owen R. Tutty, Eric Rogers, Enda O’Dea

University of Southampton, Highfield, Southampton, UK

Lubomir Baramov

Honeywell Prague Laboratory, Praha, Czech Republic

Paper No. FEDSM2002-31054, pp. 1419-1424; 6 pages
doi:10.1115/FEDSM2002-31054
From:
  • ASME 2002 Joint U.S.-European Fluids Engineering Division Conference
  • Volume 1: Fora, Parts A and B
  • Montreal, Quebec, Canada, July 14–18, 2002
  • Conference Sponsors: Fluids Engineering Division
  • ISBN: 0-7918-3615-0 | eISBN: 0-7918-3600-2
  • Copyright © 2002 by ASME

abstract

In this paper we consider the control of disturbances in a channel where surface sensing and actuation (blowing/suction) are used. Unlike in many other studies, the flow is not assumed to be periodic. As a result disturbances are allowed over the full range of unstable wave numbers/frequencies, and spatially growing disturbances can be studied explicitly. However, a major drawback is that, even for two-dimensional flow, the order of the numerical model is extremely large. Model order reduction based on a non-linear least squares fit is used to generate a model plus an uncertainty bound that are suitable for control design purposes. These are used to produce a robustly stable H∞ controller. The behaviour of this controller is compared with those designed assuming periodic flow. It is shown that a non-periodic controller can perform satisfactorily in cases where a periodic one will not.

Copyright © 2002 by ASME

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