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Delay-Adaptive Linear Control$
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Yang Zhu and Miroslav Krstic

Print publication date: 2020

Print ISBN-13: 9780691202549

Published to Princeton Scholarship Online: January 2021

DOI: 10.23943/princeton/9780691202549.001.0001

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Predictor Feedback for Uncertainty-Free Systems

Predictor Feedback for Uncertainty-Free Systems

(p.219) Chapter Ten Predictor Feedback for Uncertainty-Free Systems
Delay-Adaptive Linear Control

Yang Zhu

Miroslav Krstic

Princeton University Press

This chapter assesses predictor feedback for uncertainty-free systems. The previous chapters investigated predictor control problems of uncertain single-input or multi-input LTI systems with discrete input delays. This chapter extends the predictor method to compensate for another big family of delays — distributed input delays. The control designs for unknown discrete input delays in the previous chapters are not applicable to the case of unknown distributed input delays, as the plant and actuator states are not in the strict feedback form. The chapter then presents a new systematic method to stabilize uncertain LTI systems with distributed input delays. First of all, in order to lay a foundation for adaptive and robust control for uncertain systems in later chapters, it contributes to a predictor framework in rescaled unity-interval notation for uncertainty-free systems.

Keywords:   predictor feedback, uncertainty-free systems, distributed input delays, actuator state, uncertain LTI systems, adaptive control, rescaled unity-interval notation

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