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Adaptive output feedback boundary control for a class of axially moving system
Author(s) -
Guo Fang,
Luo Fei,
Liu Yu,
Wu Yilin
Publication year - 2019
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2018.6030
Subject(s) - control theory (sociology) , axial symmetry , class (philosophy) , output feedback , boundary (topology) , adaptive control , computer science , control (management) , control engineering , feedback control , mathematics , engineering , artificial intelligence , mathematical analysis , geometry
In this study, the main concern lies in the development of a boundary control scheme for suppressing the vibration of an axially moving system under the influence of unknown disturbances. To that end, a boundary adaptive output feedback control is presented by merging Lyapunov theory, observer backstepping technique, high‐gain observers and robust adaptive control theory to globally stabilise the vibration and compensate for the uncertainties of the system. Besides, the disturbance observer dynamics is developed to handle unknown boundary disturbance and the σ ‐modification is adopted to adjust the robustness of the system. Under the designed control, the uniformly bounded stability of the controlled system is achieved, and the state observer error exponentially converges to zero as time tends to infinity. Simulation results illustrate that the proposed control can stabilise the system with a better performance.

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