Jump to ContentJump to Main Navigation
Delay-Adaptive Linear Control$
Users without a subscription are not able to see the full content.

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

Show Summary Details
Page of

PRINTED FROM PRINCETON SCHOLARSHIP ONLINE (www.princeton.universitypressscholarship.com). (c) Copyright Princeton University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in PRSO for personal use.date: 30 July 2021

Basic Idea of Adaptive Control for Single-Input Systems

Basic Idea of Adaptive Control for Single-Input Systems

(p.35) Chapter Three Basic Idea of Adaptive Control for Single-Input Systems
Delay-Adaptive Linear Control

Yang Zhu

Miroslav Krstic

Princeton University Press

This chapter provides a variety of adaptive predictor control techniques to deal with different uncertainty collections from four basic uncertainties. These include delay, parameter, ODE state, and PDE state. In the presence of a discrete actuator delay that is long and unknown, but when the actuator state is available for measurement, a global adaptive stabilization result is obtainable. In contrast, the problem where the delay value is unknown, and where the actuator state is not measurable at the same time, is not solvable globally, since the problem is not linearly parameterized in the unknown delay. In this case, a local stabilization is feasible, with restrictions on the initial conditions such that not only do the initial values of the ODE and actuator state have to be small, but also the initial value of the delay estimation error has to be small (the delay value is allowed to be large but the initial value of its estimate has to be close to the true value of the delay).

Keywords:   adaptive predictor control techniques, delay, parameter, ODE state, PDE state, actuator delay, actuator state, global adaptive stabilization, local stabilization, delay value

Princeton Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us.