Boundary Control of PDEs
A Course on Backstepping Designs
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Boundary Control of PDEs by Miroslav Krstic
Book DescriptionThis concise and practical textbook presents an introduction to backstepping, an elegant new approach to boundary control of partial differential equations (PDEs). Backstepping provides mathematical tools for constructing coordinate transformations and boundary feedback laws for converting complex and unstable PDE systems into elementary, stable, and physically intuitive 'target PDE systems' that are familiar to engineers and physicists. Readers will be introduced to constructive control synthesis and Lyapunov stability analysis for distributed parameter systems. The text's broad coverage includes parabolic PDEs; hyperbolic PDEs of first and second order; fluid, thermal, and structural systems; delay systems; real-valued as well as complex-valued PDEs; and stabilisation as well as motion planning and trajectory tracking for PDEs. Even an instructor with no expertise in control of PDEs will find it possible to teach effectively from this book, while an expert researcher looking for novel technical challenges will find many topics of interest.
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Book DetailsISBN: 9780898716504
(247mm x 174mm x 15mm)
Imprint: Society for Industrial & Applied Mathematics,U.S.
Publisher: Society for Industrial & Applied Mathematics,U.S.
Publish Date: 25-Sep-2008
Country of Publication: United States
Books By Author Miroslav Krstic
Nonlinear Control Under Nonconstant Delays, Hardback (November 2013)
A powerful methodology for control of nonlinear systems is presented, along with powerful applications to long-standing problems in delay systems.
Adaptive Control of Parabolic PDEs, Hardback (July 2010)
Introduces a comprehensive methodology for adaptive control design of parabolic partial differential equations with unknown functional parameters. This book emphasizes stabilization by boundary control and using boundary sensing for unstable PDE systems with an infinite relative degree.
Real Time Optimization by Extremum-seeking Control, Hardback (October 2003)
Extremum seeking is a method of adaptive control outside the classical paradigm or model reference and related schemes. The unique feature of extremum seeking as an optimization tool is that is is an on-line methodology, performed by feedback, and with the ability to achieve rapid convergence.
Nonlinear and Adaptive Control Design, Hardback (July 1995)» View all books by Miroslav Krstic
Using a pedagogical style along with detailed proofs and illustrative examples, this book opens a view to the largely unexplored area of nonlinear systems with uncertainties. The focus is on adaptive nonlinear control results introduced with the new recursive design methodology--adaptive backstepping.
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Author Biography - Miroslav Krstic
Miroslav Krstic is Sorenson Professor of Mechanical and Aerospace Engineering at the University of California, San Diego (UCSD), and the founding Director of the Center for Control Systems and Dynamics at UCSD. Andrey Smyshlyaev is a postdoctoral scholar at the University of California, San Diego. His research interests include control of distributed parameter systems, adaptive control, and nonlinear control.
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