Overview

The book presents a solution to a problem in adaptive control design that was open for 40 years: robustification of disturbances without compromising asymptotic performance. This original methodology builds on foundational ideas, such as the use of a deadzone in the update law and nonlinear damping in the controller, and advances the tools for and the theory behind designing robust adaptive controllers, thus guaranteeing robustness properties stronger than previously achieved. Numerous examples provide detailed analyses of the new methodology. The authors present all stability notions that are useful in adaptive control, provide examples of all robustness problems (e.g. parameter drift), and analyze all approaches to robustification of adaptive controllers that have appeared in the literature; develop the Deadzone-Adapted Disturbance Suppression (DADS) control, a novel adaptive control scheme, and construct a novel robust identifier that can work in parallel with every direct adaptive controller (not only DADS); present the wing rock instability problem, an application of the DADS control scheme, solved with the DADS controller; and provide ideas for the extension of the control scheme to cases not studied in the book.

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9781611978421

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Iasson Karafyllis is a Professor in the Department of Mathematics, NTUA, Greece. He is a coauthor (with Z.-P. Jiang) of Stability and Stabilization of Nonlinear Systems (Springer, 2011) and a coauthor (with M. Krstic) of Predictor Feedback for Delay Systems: Implementations and Approximations (Birkhäuser, 2017) and Input-to-State Stability for PDEs (Springer, 2019). He has been an associate editor for the International Journal of Control and for the IMA Journal of Mathematical Control and Information since 2013 and for Systems and Control Letters and Mathematics of Control, Signals and Systems since 2019. His research interests include mathematical control theory and nonlinear systems theory. Miroslav Krstic is Distinguished Professor of Mechanical and Aerospace Engineering, holds the Alspach endowed chair, and is the founding director of the Cymer Center for Control Systems and Dynamics at UC San Diego. He also serves as Senior Associate Vice Chancellor for Research at UCSD. He 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 is editor-in-chief of Systems and Control Letters and as a senior editor of Automatica and IEEE Transactions on Automatic Control. Krstic has coauthored eighteen books on adaptive, nonlinear, and stochastic control, extremum seeking, control of PDE systems including turbulent flows, and control of delay systems.

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