Delay Compensation for Nonlinear, Adaptive, and PDE Systems

ISBN-13: 9780817648763 / Angielski / Twarda / 2009 / 466 str.

Miroslav Krstic

Opis

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. It 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. Replete with examples, 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.

Recenzje

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)

Spis treści

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 A. Poincaré, Agmon, and Other Basic Inequalities B. Input-Output Lemmas for LTI and LTV Systems C. Lyapunov Stability and ISS for Nonlinear ODEs D. Bessel Functions E. Parameter Projection F. Strict-Feedforward Systems: A General Design G. Strict-Feedforward Systems: A Linearizable Class H. Strict-Feedforward Systems: Not Linearizable References Index

O autorze

Miroslav Krstic received his PhD from the University of California, Santa Barbara, in 1994 where he is currently a researcher in the Department of Electrical and Computer Engineering.

Blurb

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 and input-to-state stability, parameter projection for adaptive control, and Bessel 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.