Delay Compensation for Nonlinear, Adaptive, and PDE Systems (eBook)

Miroslav Krstic (Autor)

eBook Download: PDF

2010
XIV, 466 Seiten
Birkhäuser Boston (Verlag)
978-0-8176-4877-0 (ISBN)

Infos

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.

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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.

Inhalt

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

Produkt-Details

• Erscheint lt. Verlag: 23.1.2010
• Reihe/Serie: Systems & Control: Foundations & Applications
• Reihe/Serie: Systems & Control: Foundations & Applications
• Zusatzinfo: XIV, 466 p. 52 illus.
• Verlagsort: Boston
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Technik ► Bauwesen
• Schlagworte: actuator and sensor delays • Boundary value problem • delay compensation for nonlinear, adaptive, PDE systems • general distributed parameter systems • linear delay systems • linear optimization • linear time-varying system • linear time-varying systems • Lyapunov functionals • Lyapunov input-to-state stability • Ordinary differential equations • Partial differential equations • Smith Predictor • state estimator and observers
• ISBN-10: 0-8176-4877-1 / 0817648771
• ISBN-13: 978-0-8176-4877-0 / 9780817648770