Year: 2025
Type: preprint
Abstract: This study solves the output regulation problem for a reaction-diffusion system confronting concurrent input delay and fully unidentified disturbances (encompassing both unknown frequencies and amplitudes) across all channels. The principal innovation emerges from a novel adaptive control architecture that synergizes the modal decomposition technique with a dual-observer mechanism, enabling real-time concurrent estimation of unmeasurable system states and disturbances through a state observer and an adaptive disturbance estimator. Unlike existing approaches limited to either delay compensation or partial disturbance rejection, our methodology overcomes the technical barrier of coordinating these two requirements through a rigorously constructed tracking-error-based controller, achieving exponential convergence of system output to reference signals. Numerical simulations are presented to validate the effectiveness of the proposed output feedback control strategy.
Source: arXiv (Cornell University)
Authors: Wang, Shen, Han, Zhong-Jie, Liu, Kai, Zhao, Zhi-Xue
Institutions: Tianjin University, Tianjin Normal University
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: green
Awards: G4318353460, G5781728882, G8094460629
OpenAlex ID: W6979350218
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