Reduced order models for closed-loop control of time-dependent flows

A. Gross, Hermann F Fasel

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Controller development in the relatively young field of closed-loop (or feed back) flow control is constrained by the lack of proper models for the description of the dynamics and response of flows to a control input (actuation). If a set of ordinary differential equations could be derived that describes the unsteady flow with sufficient accuracy and that also models the effect of the actuation, control theory tools could be employed for controller design. In this paper reduced order models (ROMs) based on a Galerkin projection of the incompressible Navier-Stokes equations onto a proper orthogonal decomposition (POD) modal basis are described. The model coefficients can be modified or calibrated to make the model more accurate. An error-minimization technique is employed to obtain the coefficients that describe how the control enters the model equations. These models work well in the vicinity of the design operating point. Composite models are constructed by combining POD modes from different operating points. This approach results in more versatile ROMs that are valid for a larger range of operating conditions.

Original languageEnglish (US)
Title of host publicationCollection of Technical Papers - 44th AIAA Aerospace Sciences Meeting
Pages16872-16893
Number of pages22
Volume22
StatePublished - 2006
Event44th AIAA Aerospace Sciences Meeting 2006 - Reno, NV, United States
Duration: Jan 9 2006Jan 12 2006

Other

Other44th AIAA Aerospace Sciences Meeting 2006
CountryUnited States
CityReno, NV
Period1/9/061/12/06

Fingerprint

actuation
controllers
decomposition
Decomposition
Controllers
control theory
flow control
unsteady flow
Navier-Stokes equations
coefficients
Unsteady flow
Control theory
Flow control
Ordinary differential equations
Navier-Stokes equation
Navier Stokes equations
differential equations
projection
Feedback
optimization

ASJC Scopus subject areas

  • Space and Planetary Science
  • Aerospace Engineering

Cite this

Gross, A., & Fasel, H. F. (2006). Reduced order models for closed-loop control of time-dependent flows. In Collection of Technical Papers - 44th AIAA Aerospace Sciences Meeting (Vol. 22, pp. 16872-16893)

Reduced order models for closed-loop control of time-dependent flows. / Gross, A.; Fasel, Hermann F.

Collection of Technical Papers - 44th AIAA Aerospace Sciences Meeting. Vol. 22 2006. p. 16872-16893.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Gross, A & Fasel, HF 2006, Reduced order models for closed-loop control of time-dependent flows. in Collection of Technical Papers - 44th AIAA Aerospace Sciences Meeting. vol. 22, pp. 16872-16893, 44th AIAA Aerospace Sciences Meeting 2006, Reno, NV, United States, 1/9/06.
Gross A, Fasel HF. Reduced order models for closed-loop control of time-dependent flows. In Collection of Technical Papers - 44th AIAA Aerospace Sciences Meeting. Vol. 22. 2006. p. 16872-16893
Gross, A. ; Fasel, Hermann F. / Reduced order models for closed-loop control of time-dependent flows. Collection of Technical Papers - 44th AIAA Aerospace Sciences Meeting. Vol. 22 2006. pp. 16872-16893
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