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Slope seeking: a generalization of extremum seeking
Author(s) -
Ariyur Kartik B.,
Krstić Miroslav
Publication year - 2004
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.777
Subject(s) - control theory (sociology) , generalization , perturbation (astronomy) , stability (learning theory) , mathematics , multivariable calculus , work (physics) , gas compressor , control (management) , computer science , mathematical optimization , engineering , control engineering , mathematical analysis , artificial intelligence , quantum mechanics , machine learning , mechanical engineering , physics
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 multivariable 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. Copyright © 2003 John Wiley & Sons, Ltd.