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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.
List of contents
Linear Delay-ODE Cascades.- Basic Predictor Feedback.- Predictor Observers.- Inverse Optimal Redesign.- Robustness to Delay Mismatch.- Time-Varying Delay.- Adaptive Control.- Delay-Adaptive Full-State Predictor Feedback.- Delay-Adaptive Predictor with Estimation of Actuator State.- Trajectory Tracking Under Unknown Delay and ODE Parameters.- Nonlinear Systems.- Nonlinear Predictor Feedback.- Forward-Complete Systems.- Strict-Feedforward Systems.- Linearizable Strict-Feedforward Systems.- PDE-ODE Cascades.- ODEs with General Transport-Like Actuator Dynamics.- ODEs with Heat PDE Actuator Dynamics.- ODEs with Wave PDE Actuator Dynamics.- Observers for ODEs Involving PDE Sensor and Actuator Dynamics.- Delay-PDE and PDE-PDE Cascades.- Unstable Reaction-Diffusion PDE with Input Delay.- Antistable Wave PDE with Input Delay.- Other PDE-PDE Cascades.
About the author
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.
Summary
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.
Additional text
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)
Report
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)
