This 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.

A clear and concise introduction to backstepping, an elegant new approach to boundary control of partial differential equations (PDEs).

About the Author
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.


Book Information
ISBN 9780898716504
Author Miroslav Krstic
Format Hardback
Page Count 200
Imprint Society for Industrial & Applied Mathematics,U.S.
Publisher Society for Industrial & Applied Mathematics,U.S.
Weight(grams) 600g
Dimensions(mm) 261mm * 180mm * 15mm