Tracking Control of a Wave Equation with Boundary Disturbance: Combining ADRC and Differential Flatness

In this paper, we study the tracking control problem of a wave equation with boundary disturbance. Applying the active disturbance rejection control (ADRC) method, the unknown disturbance is estimated by the extended state observer (ESO). The flatness-based method for trajectory planning is applied...

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Bibliographic Details
Published inChinese Control Conference pp. 897 - 902
Main Authors Zhang, Yu-Long, Wang, Jun-Min
Format Conference Proceeding
LanguageEnglish
Published Technical Committee on Control Theory, Chinese Association of Automation 26.07.2021
Subjects
ADRC
Differential Flatness
Estimation
Numerical simulation
Observers
Propagation
Robust control
Tracking Control
Trajectory
Trajectory planning
Wave Equation
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ISSN1934-1768
DOI10.23919/CCC52363.2021.9549581

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Summary:In this paper, we study the tracking control problem of a wave equation with boundary disturbance. Applying the active disturbance rejection control (ADRC) method, the unknown disturbance is estimated by the extended state observer (ESO). The flatness-based method for trajectory planning is applied to derive the feedforward controller, which allows us to realize the tracking of suitably prescribed trajectories for the system output. Combining the disturbance estimation and the feedforward controller, a feedback controller is designed to stabilize the tracking error system. The closed-loop system of the tracing error is proved to be asymptotically stable and the tracking performance is illustrated by numerical simulation.
ISSN:1934-1768
DOI:10.23919/CCC52363.2021.9549581