Model-free stabilization by extremum seeking / Alexander Scheinker, Miroslav Krstić.
Scheinker, Alexander.; Krstić, Miroslav.
2017
Q172.5.V37
Available Online

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Title Model-free stabilization by extremum seeking / Alexander Scheinker, Miroslav Krstić.
Author Scheinker, Alexander.
ISBN 9783319507903 (electronic book)
3319507907 (electronic book)
9783319507897
3319507893
DOI https://doi.org/10.1007/978-3-319-50790-3
Publication Details Cham : Springer, 2017.
Language English
Description 1 online resource.
Item Number 10.1007/978-3-319-50790-3 doi
Call Number Q172.5.V37
Dewey Decimal Classification 515/.64
Summary With this brief, the authors present algorithms for model-free stabilization of unstable dynamic systems. An extremum-seeking algorithm assigns the role of a cost function to the dynamic system's control Lyapunov function (clf) aiming at its minimization. The minimization of the clf drives the clf to zero and achieves asymptotic stabilization. This approach does not rely on, or require knowledge of, the system model. Instead, it employs periodic perturbation signals, along with the clf. The same effect is achieved as by using clf-based feedback laws that profit from modeling knowledge, but in a time-average sense. Rather than use integrals of the systems vector field, we employ Lie-bracket-based (i.e., derivative-based) averaging. The brief contains numerous examples and applications, including examples with unknown control directions and experiments with charged particle accelerators. It is intended for theoretical control engineers and mathematicians, and practitioners working in various industrial areas and in robotics.
Bibliography, etc. Note Includes bibliographical references.
Access Note Access limited to authorized users.
Digital File Characteristics text file PDF
Added Author Krstić, Miroslav.
Series SpringerBriefs in electrical and computer engineering.
Available in Other Form Print version: 9783319507897
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All Resources
Introduction
Weak Limit Averaging for Studying the Dynamics of Extremum-Seeking-Stabilized Systems
Minimization of Lyapunov Functions
Control Affine Systems
Non-C2 Extremum Seeking
Bounded Extremum Seeking
Extremum Seeking for Stabilization of Systems Not Affine in Control
General Choice of Extremum-Seeking Dithers
Application Study: Particle Accelerator Tuning.

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