Overview

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. Readers will find: 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. Accessible and powerful tools for analysis. This book is intended for control engineers in all disciplines (electrical, mechanical, aerospace, chemical), mathematicians, physicists, biologists, and economists. It is appropriate for graduate students, researchers, and industrial users.

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9781611977349

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Tiago Roux Oliveira is professor at the State University of Rio de Janeiro. He has published about 70 journal papers, received the IEEE Transactions on Control Systems Technology Outstanding Paper Award (2021), and given several plenary lectures. He is chair of the IFAC Technical Committee on Adaptive and Learning Systems. Professor Oliveira has also served as associate editor of Systems & Control Letters, International Journal of Robust and Nonlinear Control, and other journals. Miroslav Krstic is Fellow of SIAM, IEEE, IFAC, ASME, AAAS, IET, AIAA (AF), and Serbian Academy of Sciences and Arts. His awards include the SIAM Reid Prize, Bellman, Oldenburger, Ragazzini, Chestnut, Paynter, Nyquist Lecture, IFAC Nonlinear Control , IFAC Ruth Curtain DPS, Axelby, and Schuck ('96 and '19). He has held chief or senior editorial positions for Systems & Control Letters, Automatica, and IEEE Transactions on Automatic Control. Two of Krstic's 18 coauthored books have been with SIAM: Boundary Control of PDEs (recipient of IFAC's Chestnut Prize) and Nonlinear Control under Nonconstant Delays.

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