Delay compensation for nonlinear, adaptive, and PDE systems

書誌事項

Delay compensation for nonlinear, adaptive, and PDE systems

Miroslav Krstic

(Systems & control)

Birkhäuser, c2009

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注記

Includes bibliographical references (p. 453-464) and index

内容説明・目次

内容説明

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.

目次

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. Poincare, 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

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