Output Feedback Exponential Stabilization for a One-Dimensional Wave Equation With Control Matched Nonlinear Disturbance

In this article, we study the output feedback exponential stabilization of a one-dimensional wave equation with control matched nonlinear disturbance. The well posedness of the open-loop system, which is essentially important for the designs of observer and controller, is verified. By designing an i...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2021-05, Vol.66 (5), p.2273-2280
Main Authors: Mei, Zhan-Dong, Zhou, Hua-Cheng
Format: Article
Language:English
Subjects:
Active disturbance rejection control (ADRC)
Control systems design
Design
Feedback control
Nonlinear control
Observers
Output feedback
output feedback stabilization
Propagation
Riesz basis
Stability analysis
Stabilization
State feedback
State observers
Uncertainty
wave equation
Wave equations
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Summary:In this article, we study the output feedback exponential stabilization of a one-dimensional wave equation with control matched nonlinear disturbance. The well posedness of the open-loop system, which is essentially important for the designs of observer and controller, is verified. By designing an infinite-dimensional unknown input state observer in place of the conventional extended state observer, we estimate the total disturbance in real time. Moreover, we prove the convergence of the disturbance estimator. Based on the disturbance estimator, we design a state observer by compensating the total disturbance, and an estimated state feedback controller to exponentially stabilize the original system by means of the Riesz basis approach. Some numerical simulations are presented.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2020.3002497