Slope seeking and application to compressor instability control

Author

Ariyur, Kartik B. ; Krstic, Miroslav

Author_Institution

Dept. of Mech. & Aerosp. Eng., California Univ., San Diego, La Jolla, CA, USA

Volume

4

fYear

2002

fDate

10-13 Dec. 2002

Firstpage

3690

Abstract

This work introduces slope seeking, a new idea for non-model based adaptive control. It involves driving the output of a plant to a value corresponding to a commanded slope of its reference-to-output map. To achieve this objective, we introduce a slope reference input into a sinusoidal perturbation-based extremum seeking scheme; derive a stability test for single parameter slope seeking, and then develop a systematic design algorithm based on standard linear SISO control methods to satisfy the stability test. We then extend the results to the multi variable case of gradient seeking. Finally, we illustrate near-optimal compressor operation under slope seeking feedback through a simulation study upon the well-known Moore-Greitzer model of compressor instability.

Keywords

adaptive control; asymptotic stability; compressors; feedback; linear systems; multivariable control systems; optimal control; perturbation techniques; Moore Greitzer model; compressor instability control; extremum seeking scheme; feedback; gradient seeking; linear SISO control methods; multivariable case; nonmodel based adaptive control; optimal compressor operation; reference-output map; simulation; single input single output; single parameter; sinusoidal perturbation; slope reference input; slope seeking; stability test; systematic design algorithm; Adaptive control; Aerospace engineering; Algorithm design and analysis; Control systems; Ear; Guidelines; Hysteresis; Output feedback; Stability; System testing;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2002, Proceedings of the 41st IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-7516-5

Type

conf

DOI

10.1109/CDC.2002.1184937

Filename

1184937