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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 Arbitrary Relative Degree

Single-Input Systems with Arbitrary Relative Degree

(p.84) Chapter Five Single-Input Systems with Arbitrary Relative Degree
Delay-Adaptive Linear Control

Yang Zhu

Miroslav Krstic

Princeton University Press

This chapter examines single-input systems with arbitrary relative degree. It considers the situation when the actuator state is measurable. The control objective is to design a control strategy to compensate for the system uncertainty as well as actuator delay to ensure all the signals of the closed-loop system are bounded. The chapter then employs the well-known Kreisselmeier-filters. It also looks at the more complex situation of the unmeasured actuator state. Again, Kreisselmeier-filters are employed to virtually estimate the unmeasured ODE state. Finally, the chapter summarizes the stability of the ODE-PDE cascade system (in which the actuator state is unmeasured), before illustrating the proposed scheme.

Keywords:   single-input systems, relative degree, actuator state, control strategy, actuator delay, closed-loop system, Kreisselmeier-filters, ODE state, ODE-PDE cascade system

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