Delay-Adaptive Linear Control

Name: Delay-Adaptive Linear Control
Brand: Princeton University Press
Price: 108.99 EUR
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Yang Zhu Miroslav Krstic(Autor*in)

Princeton University Press

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Erschienen am 28. April 2020

352 Seiten

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978-0-691-20331-7 (ISBN)

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Inhalt

Cover
Contents
List of Figures and Tables
Preface
Acknowledgments
List of Abbreviations
1. Introduction
1.1 Time-Delay Systems
1.2 Delay Compensation or Not
1.3 Adaptive Control for Time-Delay Systems and PDEs
1.4 Results in This Book: Adaptive Control for Uncertain LTI Systems with Input Delays
1.5 Book Organization
1.6 Notation
I. Single-Input Discrete Delay
2. Basic Predictor Feedback for Single-Input Systems
2.1 Basic Idea of Predictor Feedback for LTI Systems with Input Delay
2.2 Backstepping Transformation in Standard ODE Delay Notation
2.3 Backstepping Transformation in Transport PDE Notation
2.4 Backstepping Transformation in Rescaled Unity-Interval Transport PDE Notation
3. Basic Idea of Adaptive Control for Single-Input Systems
3.1 Model Depiction and Basic Idea
3.2 Global Stabilization under Uncertain ODE State
3.3 Global Stabilization under Uncertain Delay
3.4 Local Stabilization under Uncertain Delay and Actuator State
3.5 Global Trajectory Tracking under Uncertain Delay and Parameters
3.6 Local Set-Point Regulation under Uncertain Delay and ODE and PDE States
3.7 Local Set-Point Regulation under Uncertain Delay, Parameters, and PDE State
4. Single-Input Systems with Full Relative Degree
4.1 Problem Formulation
4.2 State Estimation with Kreisselmeier-Filters
4.3 Boundary Control with Adaptive Backstepping
4.4 Identification of Unknown Parameters and Delay
4.5 Stability Analysis
4.6 Simulation
5. Single-Input Systems with Arbitrary Relative Degree
5.1 Mathematical Model
5.2 Trajectory Tracking by PDE Full-State Feedback
5.3 Set-Point Regulation by PDE Output Feedback
5.4 Simulation
II. Multi-Input Discrete Delays
6. Exact Predictor Feedback for Multi-Input Systems
6.1 Basic Idea of Predictor Feedback of Multi-Input LTI Systems with Distinct Input Delays
6.2 Unity-Interval Rescaling for Multi-Input LTI Systems with Input Delays
7. Full-State Feedback of Uncertain Multi-Input Systems
7.1 Problem Statement
7.2 Global Stabilization under Unknown Delays
7.3 Global Stabilization under Uncertain Delays and ODE State
7.4 Global Stabilization under Uncertain Delays and Parameters
7.5 Simulation
7.6 Auxiliary Calculations for Sections 7.2-7.4
8. Output Feedback of Uncertain Multi-Input Systems
8.1 Model Depiction
8.2 Local Stabilization under Uncertain Delays and PDE States
8.3 Stability Analysis
8.4 Simulation
9. Output Feedback of Systems with Uncertain Delays, Parameters, and ODE State
9.1 Model Depiction
9.2 Local Stabilization under Uncertain Delays and ODE State
9.3 Local Stabilization under Uncertain Delays and Parameters
9.4 Auxiliary Calculations for Sections 9.2 and 9.3
III. Distributed Input Delays
10. Predictor Feedback for Uncertainty-Free Systems
10.1 Predictor Feedback for Uncertainty-Free Single-Input Systems
10.2 Predictor Feedback for Uncertainty-Free Multi-Input Systems
11. Predictor Feedback of Uncertain Single-Input Systems
11.1 Adaptive State Feedback under Unknown Delay
11.2 Adaptive State Feedback under Unknown Delay and Delay Kernel
11.3 Adaptive State Feedback under Unknown Delay, Delay Kernel, and Parameter
11.4 Robust Output Feedback under Unknown Delay, Delay Kernel, and PDE State
11.5 Robust Output Feedback under Unknown Delay, Delay Kernel, and ODE State
12. Predictor Feedback of Uncertain Multi-Input Systems
12.1 Adaptive State Feedback under Unknown Delays
12.2 Adaptive State Feedback under Uncertain Delays, Delay Kernels, and Parameters
12.3 Robust Output Feedback under Unknown Delays, Delay Kernels, and ODE States
12.4 Robust Output Feedback under Unknown Delays, Delay Kernels, and PDE States
Appendix A
A.1 Basic Inequalities
Appendix B
B.1 Input-to-Output Stability
Appendix C
C.1 Lyapunov Stability and K8 Functions
C.2 Barbalat's Lemma with Its Alternative and LaSalle-Yoshizawa's Theorem
C.3 Input-to-State Stability
Appendix D
D.1 Parameter Projection
Bibliography
Index

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