Delay Compensation for Nonlinear, Adaptive, and PDE Systems

Preface1. IntroductionPart I. Linear Delay-ODE Cascades2. Basic Predictor Feedback3. Predictor Observers4. Inverse Optimal Redesign5. Robustness to Delay Mismatch6. Time-Varying DelayPart II. Adaptive Control7. Delay-Adaptive Full-State Predictor Feedback8. Delay-Adaptive Predictor with Estimation of Actuator State9. Trajectory Tracking Under Unknown Delay and ODE ParametersPart III. Nonlinear Systems10. Nonlinear Predictor Feedback11. Forward-Complete Systems12. Strict- Feedforward Systems13. Linearizable Strict-Feedforward SystemsPart IV. PDE-ODE Cascades14. ODEs with General Transport-Like Actuator Dynamics15. ODEs with Heat PDE Actuator Dynamics16. ODEs with Wave PDE Actuator Dynamics17. Observers for ODEs Involving PDE Sensor and Actuator DynamicsPart V. Delay-PDE and PDE-PDE Cascades18. Unstable Reaction-Diffusion PDE with Input Delay19. Antistable Wave PDE with Input Delay20. Other PDE-PDE CascadesAppendicesA. Poincaré, Agmon, and Other Basic InequalitiesB. Input-Output Lemmas for LTI and LTV SystemsC. Lyapunov Stability and ISS for Nonlinear ODEsD. Bessel FunctionsE. Parameter ProjectionF. Strict-Feedforward Systems: A General DesignG. Strict-Feedforward Systems: A Linearizable ClassH. Strict-Feedforward Systems: Not LinearizableReferencesIndex

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)