Boundary Control of PDEs
A Course on Backstepping Designs
£79.99
Part of Advances in Design and Control
- Authors:
- Miroslav Krstic, University of California, San Diego
- Andrey Smyshlyaev, University of California, San Diego
- Date Published: September 2008
- availability: Available in limited markets only
- format: Hardback
- isbn: 9780898716504
£
79.99
Hardback
Looking for an inspection copy?
This title is not currently available on inspection
-
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.
Read more- Includes homework exercises and a solutions manual, which is available from the authors upon request
- Accessible to both beginning and advanced graduate students, and to engineers with no prior training in PDEs
- Assumes no background beyond that of a typical engineering or physics graduate
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: September 2008
- format: Hardback
- isbn: 9780898716504
- length: 200 pages
- dimensions: 261 x 180 x 15 mm
- weight: 0.6kg
- availability: Available in limited markets only
Table of Contents
List of figures
List of tables
Preface
1. Introduction
2. Lyapunov stability
3. Exact solutions to PDEs
4. Parabolic PDEs: reaction-advection-diffusion and other equations
5. Observer design
6. Complex-valued PDEs: Schrödinger and Ginzburg–Landau equations
7. Hyperbolic PDEs: wave equations
8. Beam equations
9. First-order hyperbolic PDEs and delay equations
10. Kuramoto–Sivashinsky, Korteweg–de Vries, and other 'exotic' equations
11. Navier–Stokes equations
12. Motion planning for PDEs
13. Adaptive control for PDEs
14. Towards nonlinear PDEs
Appendix. Bessel functions
Bibliography
Index.
Related Books
related journals
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×