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Extremum seeking through delays and PDEs
- Author / Creator
- Available as
- Online
- Summary
-
Extremum Seeking through Delays and PDEs, the first book on the topic, expands the scope of applicability of the extremum seeking method, from static and finite-dimensional systems to infinite-dime...
Extremum Seeking through Delays and PDEs, the first book on the topic, expands the scope of applicability of the extremum seeking method, from static and finite-dimensional systems to infinite-dimensional systems. In this book, numerous algorithms for model-free real-time optimization are developed and their convergence guaranteed, extensions from single-player optimization to noncooperative games, under delays and PDEs, are provided, the delays and PDEs are compensated in the control designs using the PDE backstepping approach, and stability is ensured using infinite-dimensional versions of averaging theory, and accessible and powerful tools are provided for analysis.
Details
- Creator
- Tiago Roux Oliveira, Miroslav Krstic
- Format
- Books
- Language
- English
- Publication
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- Philadelphia, Pennsylvania : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), [2023]
- Physical Details
-
- 1 PDF (xviii, 442 pages)
- data file
- ISBNs
- 9781611977356, 9781611977349, 9781611977349
- Includes bibliographical references (pages 427-440) and index.
- Fundamentals of extremum seeking -- Gradient extremum seeking for scalar static map with delay -- Newton-based ES for scalar static map with delay -- Inverse optimal ES under delay -- Stochastic ES for higher-derivative and dynamic maps with delay -- Robustness to delay mismatch in ES -- Multivariable ES for distinct input delays -- ES under time-varying and state-dependent delays -- ES for distributed delays -- ES for heat PDE -- ES for reaction-advection-diffusion PDEs -- ES for wave PDEs -- Multivariable ES for distinct families of PDEs -- ES for PDE-PDE cascades -- Nash equilibrium seeking with arbitrarily delayed player actions -- Nash equilibrium seeking with players acting through heat PDE dynamics -- Heterogeneous duopoly games with delays and heat PDEs -- Appendix A. Averaging theorem for functional differential equations -- Appendix B. Averaging theorem for general infinite-dimensional systems -- Appendix C. Small-gain theorems -- Appendix D. Auxiliary proofs and derivations -- Appendix E. Important inequalities