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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 of Uncertain Multi-Input Systems

Predictor Feedback of Uncertain Multi-Input Systems

Chapter:
(p.267) Chapter Twelve Predictor Feedback of Uncertain Multi-Input Systems
Source:
Delay-Adaptive Linear Control
Author(s):

Yang Zhu

Miroslav Krstic

Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691202549.003.0012

This chapter discusses the predictor feedback for uncertain multi-input systems. This is based on the predictor feedback framework for uncertainty-free multi-input systems in the tenth chapter. The chapter addresses four combinations of the five uncertainties that come from a finite-dimensional multi-input linear system with distributed actuator delays. These uncertainties include the following types: unknown and distinct delays, unknown delay kernels, unknown system matrix, unmeasurable finite-dimensional plant state, and unmeasurable infinite-dimensional actuator state. The chapter then examines the adaptive state feedback under unknown as well as uncertain delays, delay kernels, and parameters. It also explores robust output feedback under unknown delays, delay kernels, and PDE or ODE states.

Keywords:   predictor feedback, uncertain multi-input systems, distributed actuator delays, adaptive state feedback, unknown delays, unknown delay kernels, unknown parameters, robust output feedback, PDE states, ODE states

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