Adaptive Control of Parabolic PDEs (Hardcover) (ISBN-13: 9780691142869)

This book introduces a comprehensive methodology for adaptive control design of parabolic partial differential equations with unknown functional parameters, including reaction-convection-diffusion systems ubiquitous in chemical, thermal, biomedical, aerospace, and energy systems. Andrey Smyshlyaev and Miroslav Krstic develop explicit feedback laws that do not require real-time solution of Riccati or other algebraic operator-valued equations. The book emphasizes stabilization by boundary control and using boundary sensing for unstable PDE systems with an infinite relative degree. The book also presents a rich collection of methods for system identification of PDEs, methods that employ Lyapunov, passivity, observer-based, swapping-based, gradient, and least-squares tools and parameterizations, among others.

Including a wealth of stimulating ideas and providing the mathematical and control-systems background needed to follow the designs and proofs, the book will be of great use to students and researchers in mathematics, engineering, and physics. It also makes a valuable supplemental text for graduate courses on distributed parameter systems and adaptive control.

Author: Andrey Smyshlyaev,Miroslav Krstic
ISBN-10: 0691142866
ISBN-13: 9780691142869
Publisher: Princeton University Press
Language: English
Published: 07/21/2010
Pages: 344
Format: Hardcover
Weight: 1.35lbs
Size: 9.30h x 6.10w x 1.00d