Title :
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
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;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184937
