PDE Control of String-Actuated Motion

Ji Wang, Miroslav Krstic

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English

Princeton University Press
31 January 2023

Applied mathematics; Dynamics & statics; Mechanical engineering

Series: Princeton Series in Applied Mathematics

New adaptive and event-triggered control designs with concrete applications in undersea construction, offshore drilling, and cable elevators

Control applications in undersea construction, cable elevators, and offshore drilling present major methodological challenges because they involve PDE systems (cables and drillstrings) of time-varying length, coupled with ODE systems (the attached loads or tools) that usually have unknown parameters and unmeasured states. In PDE Control of String-Actuated Motion, Ji Wang and Miroslav Krstic develop control algorithms for these complex PDE-ODE systems evolving on time-varying domains.

Motivated by physical systems, the book's algorithms are designed to operate, with rigorous mathematical guarantees, in the presence of real-world challenges, such as unknown parameters, unmeasured distributed states, environmental disturbances, delays, and event-triggered implementations. The book leverages the power of the PDE backstepping approach and expands its scope in many directions.

Filled with theoretical innovations and comprehensive in its coverage, PDE Control of String-Actuated Motion provides new design tools and mathematical techniques with far-reaching potential in adaptive control, delay systems, and event-triggered control.

By: Ji Wang, Miroslav Krstic
Imprint: Princeton University Press
Country of Publication: United States
Dimensions: Height: 254mm, Width: 178mm,
ISBN: 9780691233499
ISBN 10: 0691233497
Series: Princeton Series in Applied Mathematics
Pages: 512
Publication Date: 31 January 2023
Audience: General/trade , ELT Advanced
Format: Paperback
Publisher's Status: Active

Ji Wang is associate professor in the Department of Automation at Xiamen University, China, and a former postdoctoral scholar at the University of California, San Diego. Miroslav Krstic is Distinguished Professor at the University of California, San Diego, where he also serves as senior associate vice chancellor for research. He is a recipient of the Bellman, Reid, and Oldenburger awards, and is the coauthor of many books, including Delay-Adaptive Linear Control and Adaptive Control of Parabolic PDEs (both Princeton).

Reviews for PDE Control of String-Actuated Motion

"""[PDE Control of String-Actuated Motion] is what the metaphor applied mathematics is all about. In this field, there is often a gap between pretension and reality, a mismatch between mathematical rigor and engineering objectives. This book is a nice counterexample!""---Guenter Leugering, SIAM Review"