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- W3048560047 abstract "Adaptive output-feedback control is investigated for a class of uncertain damped wave equations. The remarkable features of the system in question are as follows: (i) Unknown damping is allowed at the boundary; (ii) The boundary measurement is corrupted by an unknown harmonic disturbance. These features make the control problem essentially different from those in the related literature. To solve the problem, a novel adaptive output-feedback control scheme is established for the system. Specifically, an ingenious observer is first introduced to reconstruct the unmeasured system state in the space domain. Based on this, a certain compensation mechanism is designed for the unknown damping coefficient and output disturbance by adaptive technique based on projection operator. Then, an output-feedback controller is successfully designed by the backstepping method for ODEs, which guarantees that all states of the resulting closed-loop system are bounded, and the original system state ultimately converges to an arbitrarily prescribed small neighborhood of the origin. Finally, a simulation example is provided to illustrate the effectiveness of the proposed method." @default.
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- W3048560047 date "2020-08-11" @default.
- W3048560047 modified "2023-09-27" @default.
- W3048560047 title "Adaptive output‐feedback control for damped wave equations with unknown damping coefficient and corrupted boundary measurement" @default.
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- W3048560047 doi "https://doi.org/10.1002/rnc.5136" @default.
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