TY - BOOK ID - 18502398 TI - Adaptive Control of Parabolic PDEs AU - Smyshlyaev, Andrey, AU - Krstic, Miroslav PY - 2010 SN - 9780691142869 0691142866 9786612569128 1400835364 1282569120 9781400835362 9781282569126 PB - Princeton, NJ DB - UniCat KW - Adaptive control systems. KW - Differential equations, Parabolic. KW - Distributed parameter systems. KW - Self-adaptive control systems KW - Systems, Distributed parameter KW - Parabolic differential equations KW - Parabolic partial differential equations KW - Artificial intelligence KW - Feedback control systems KW - Self-organizing systems KW - Control theory KW - Engineering systems KW - System analysis KW - Differential equations, Partial UR - https://www.unicat.be/uniCat?func=search&query=sysid:18502398 AB - 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. ER -