Delay Compensation for Nonlinear, Adaptive,
and PDE Systems
Miroslav
Krstic
Birkhauser, 2009 (to
appear in October 2009)
466 pages, hardcover
ISBN-13:
978-0-8176-4698-1
Contents:
Preface
1. Introduction
Part I. Linear Delay-ODE
Cascades
2. Basic Predictor
Feedback
3. Predictor Observers
4. Inverse Optimal
Redesign
5. Robustness to Delay
Mismatch
6. Time-Varying Delay
Part II. Adaptive
Control
7. Delay-Adaptive
Full-State Predictor Feedback
8. Delay-Adaptive
Predictor with Estimation of Actuator State
9. Trajectory Tracking
Under Unknown Delay and ODE Parameters
Part III. Nonlinear
Systems
10. Nonlinear Predictor
Feedback
11. Forward-Complete
Systems
12. Strict- Feedforward
Systems
13. Linearizable
Strict-Feedforward Systems
Part IV. PDE-ODE
Cascades
14. ODEs with General
Transport-Like Actuator Dynamics
15. ODEs with Heat PDE
Actuator Dynamics
16. ODEs with Wave PDE
Actuator Dynamics
17. Observers for ODEs
Involving PDE Sensor and Actuator Dynamics
Part V. Delay-PDE and
PDE-PDE Cascades
18. Unstable
Reaction-Diffusion PDE with Input Delay
19. Antistable Wave PDE
with Input Delay
20. Other PDE-PDE
Cascades
Appendices
References
Index
Publisher's
description:
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.
Specific features and
topics include:
· A construction of
explicit Lyapunov functionals, which can be used in control design or stability
analysis, leading to a resolution of several long-standing problems in
predictor feedback.
· A detailed treatment of
individual classes of problems—nonlinear ODEs, parabolic PDEs, first-order
hyperbolic PDEs, second-order hyperbolic PDEs, known time-varying delays,
unknown constant delays—will help the reader master the techniques presented.
· Numerous examples ease a
student new to delay systems into the topic.
· Minimal prerequisites:
the basics of function spaces and Lyapunov theory for ODEs.
· The basics of Poincaré
and Agmon inequalities, Lyapunov input-to-state stability, parameter projection
for adaptive control, and Bessell functions are summarized in appendices for
the reader’s convenience.
Delay
Compensation for Nonlinear, Adaptive, and PDE Systems is an excellent
reference for graduate students, researchers, and practitioners 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.
Written
for: graduate students, researchers, and professionals in mathematics, systems
control, as well as chemical, mechanical, electrical, computer, aerospace, and
civil/structural engineering