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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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Single-Input Systems with Full Relative Degree

Single-Input Systems with Full Relative Degree

Chapter:
(p.58) Chapter Four Single-Input Systems with Full Relative Degree
Source:
Delay-Adaptive Linear Control
Author(s):

Yang Zhu

Miroslav Krstic

Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691202549.003.0004

This chapter analyzes single-input systems with full relative degree. The primary approach is based on the adaptive backstepping control with Kreisselmeier-filters. In output-feedback adaptive problems, the relative degree plays a major role in determining the difficulty of a problem. The chapter focuses on a special class of LTI systems with its relative degree being equal to its system dimension. Moreover, in this chapter the actuator state is assumed to be measured. The chapter also presents a combination of prediction-based boundary control with adaptive backstepping to address unknown parameters and time delay. It then develops two Lyapunov-based identifiers to estimate unknown plant parameters and actuator time delay.

Keywords:   single-input systems, relative degree, adaptive backstepping control, Kreisselmeier-filters, output-feedback adaptive problems, actuator state, prediction-based boundary control, time delay, Lyapunov-based identifiers, unknown parameters

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