Adaptive Error Feedback Regulator Design for One-Dimensional Heat Equation With Unknown Harmonic Disturbance Anticollocated With Control

This paper considers the adaptive error feedback regulation problem for a one-dimensional heat equation with general harmonic disturbance anticollocated with control. We first construct an auxiliary system in which the control and the anticollocated disturbance become collocated and the measured err...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2020-02, Vol.65 (2), p.824-830
Main Authors: Guo, Wei, Jin, Feng-Fei
Format: Article
Language:English
Subjects:
Adaptive control
Adaptive systems
Error analysis
Error feedback
Error feedback regulation problem
Harmonic analysis
Harmonic control
heat equation
Heating systems
Linear systems
Mathematical model
Measurement uncertainty
Parameter estimation
Reference signals
Regulators
Servomechanisms
stability
Thermodynamics
Tracking errors
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Summary:This paper considers the adaptive error feedback regulation problem for a one-dimensional heat equation with general harmonic disturbance anticollocated with control. We first construct an auxiliary system in which the control and the anticollocated disturbance become collocated and the measured error becomes the output. Then, we design an error feedback adaptive servomechanism for this system, which includes estimators for the parameters characterizing the disturbance and the reference signals. The control is thus designed to regulate the tracking error to zero and keep the states bounded.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2019.2919818