Delayed multivariable extremum seeking with sequential predictors
Open accessAbstract
We provide a method for gradient-based multivariable extremum seeking that allows different delays in each input channel. We allow output delays, and for the delays to be arbitrarily long. We use averaging and a perturbation based estimate, but our sequential predictor based approach provides a useful alternative to the distributed terms that were used in earlier delay compensation approaches to extremum seeking. We illustrate our approach in a source seeking example.
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In this work, flux control leads to a controlled boundary that is nonlinearly influenced by the history of the nonlinear ODE to be stabilized.
“In our case, flux control leads to a controlled boundary that is nonlinearly influenced by the history of the nonlinear ODE to be stabilized, marking a key distinction from the problem settings in [17,37].”
From Multi-layer predictor feedback design for nonlinear integro-differential equations with state-dependent input delays (2026) · cites this paper as [37]
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References 24 · Cited by 3
- Authors
- Malisoff, M., & Krstic, M.
- Affiliations
- Louisiana State University (US)
- ORCID
- Malisoff, Michael
- Venue
- 2020 American Control Conference (ACC)
- Publisher
- IEEE
- Published
- 2020-07
- Pages
- 2649-2653
- ISSN
- 0743-1619 (ISSN-L)
- OpenAlex
- W3046116855
- Cited by
- 3
- References
- 24
- Citations by year
- 2026: 1 · 2020: 2
- FWCI
- 0.75
- Type
- conference paper
- Language
- en
- Open access
- Locations
- Proceedings of the ... American Control Conference/Proceedings of the American Control Conference (publishedVersion)
- Civil War Book Review (submittedVersion)
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Extremum Seeking Control Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Advanced Control Systems Design
- Physical Sciences › Engineering › Control and Systems Engineering › Stability and Control of Uncertain Systems
- Keywords
- extremum seeking, multivariable control, input delay, output delay, time delay compensation, gradient-based control, averaging, perturbation estimation, source seeking
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