PDE Control of String-Actuated Motion

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Physical Properties

Description

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 books 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.

Reviews

"[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

Author Bio

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).