Adaptive control of a functional differential equation exhibiting some features of the vortex sheet in a plane shear layer

Author

Jiang, S.-B. ; Gibson, J.S. ; Pearlstein, A.J. ; Glezer, A.

Author_Institution

Dept. of Mech.-Aerosp.-Nucl. Eng., California Univ., Los Angeles, CA, USA

fYear

1992

fDate

1992

Firstpage

3386

Abstract

The mixing of two fluids in a plane shear layer can be affected by time-dependent heating of one side of the flow partition. The authors describe the development of an adaptive linear-quadratic-Gaussian controller for a functional differential equation whose solutions display some of the characteristics of the motion of the Kelvin-Helmholtz layer separating the two streams. The delay differential equation is developed to exhibit certain important features of the experimental flow, particularly, a stable open-loop limit cycle. An adaptive lattice filter is used to identify a digital input-output model upon which the feedback control law is based

Keywords

adaptive control; adaptive filters; delay-differential systems; differential equations; functional equations; limit cycles; mixing; optimal control; shear flow; stability; vortices; Kelvin-Helmholtz layer; LQG control; adaptive lattice filter; adaptive linear-quadratic-Gaussian controller; delay differential equation; digital I/O model identification; digital input-output model; feedback control law; flow partition; functional differential equation; mixing; plane shear layer; stable open-loop limit cycle; time-dependent heating; vortex sheet; Adaptive control; Delay; Differential equations; Displays; Fluid flow control; Heating; Limit-cycles; Motion control; Open loop systems; Programmable control;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1992., Proceedings of the 31st IEEE Conference on

Conference_Location

Tucson, AZ

Print_ISBN

0-7803-0872-7

Type

conf

DOI

10.1109/CDC.1992.371010

Filename

371010