Delay Compensation for Nonlinear, Adaptive,
and PDE Systems
Miroslav
Krstic
Birkhauser, 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