Overview
- Significantly broadens the set of techniques available to a mathematician or engineer working on delay systems
- Numerous examples ease a student new to delay systems into the topic
- For a broad audience of graduate students, researchers, and professionals in mathematics, systems control, as well as chemical, mechanical, electrical, computer, aerospace, and civil/structural engineering
- Parts of the book may be used in graduate courses on general distributed parameter systems, linear delay systems, PDEs, nonlinear control, state estimator and observers, adaptive control, robust control, or linear time-varying systems
- Includes supplementary material: sn.pub/extras
Part of the book series: Systems & Control: Foundations & Applications (SCFA)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (20 chapters)
-
Front Matter
-
Linear Delay-ODE Cascades
-
Front Matter
-
-
Nonlinear Systems
-
Front Matter
-
-
PDE-ODE Cascades
-
Front Matter
-
Keywords
- Boundary value problem
- Lyapunov functionals
- Lyapunov input-to-state stability
- Smith predictor
- actuator and sensor delays
- delay compensation for nonlinear, adaptive, PDE systems
- general distributed parameter systems
- linear delay systems
- linear optimization
- linear time-varying system
- linear time-varying systems
- state estimator and observers
- partial differential equations
- ordinary differential equations
About this book
Some of the most common dynamic phenomena that arise in engineering practice—actuator and sensor delays—fall outside the scope of standard finite-dimensional system theory. The first attempt at infinite-dimensional feedback design in the field of control systems—the Smith predictor—has remained limited to linear finite-dimensional plants over the last five decades. Shedding light on new opportunities in predictor feedback, this book significantly broadens the set of techniques available to a mathematician or engineer working on delay systems.
The book is a collection of tools and techniques that make predictor feedback ideas applicable to nonlinear systems, systems modeled by PDEs, systems with highly uncertain or completely unknown input/output delays, and systems whose actuator or sensor dynamics are modeled by more general hyperbolic or parabolic PDEs, rather than by pure delay. Numerous examples and a detailed treatment of individual classes of problems will help the reader master the techniques.
Delay Compensation for Nonlinear, Adaptive, and PDE Systems is an excellent reference guide for graduate students, researchers, and professionals in mathematics, systems control, as well as chemical, mechanical, electrical, computer, aerospace, and civil/structural engineering. Parts of the book may be used in graduate courses on general distributed parameter systems, linear delay systems, PDEs, nonlinear control, state estimator and observers, adaptive control, robust control, or linear time-varying systems.
Reviews
From the reviews:
“A research monograph that introduces the treatment of systems with input delays as PDE-ODE cascade systems with boundary control. … The book should be of interest to researchers working on control of delay systems - engineers, graduate students, and delay systems specialists in academia. Mathematicians … will find the book interesting … . Chemical engineers and process dynamic researchers, who have traditionally been users of the Smith predictor and related approaches, should find the various extensions of this methodology that the book presents to be useful.” (Bojidar Cheshankov, Zentralblatt MATH, Vol. 1181, 2010)Authors and Affiliations
Bibliographic Information
Book Title: Delay Compensation for Nonlinear, Adaptive, and PDE Systems
Authors: Miroslav Krstic
Series Title: Systems & Control: Foundations & Applications
DOI: https://doi.org/10.1007/978-0-8176-4877-0
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Boston 2009
Hardcover ISBN: 978-0-8176-4876-3Published: 21 September 2009
eBook ISBN: 978-0-8176-4877-0Published: 23 January 2010
Series ISSN: 2324-9749
Series E-ISSN: 2324-9757
Edition Number: 1
Number of Pages: XIV, 466
Number of Illustrations: 52 b/w illustrations
Topics: Applications of Mathematics, Systems Theory, Control, Control and Systems Theory, Partial Differential Equations, Ordinary Differential Equations, Mechanical Engineering