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Output-Feedback Adaptive Boundary Control of Scalar Hyperbolic ODE–PDE–ODE Cascade Systems
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DOI：10.1002/acs.70101.png)
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Abstract
En 中文
This paper presents an output feedback adaptive boundary control scheme for a hyperbolic ODE–PDE–ODE cascade system with significant uncertainties. The system considers that all parameters, including spatially varying ones, are unknown and that only the ODE subsystem states are measurable. To facilitate the control design, an equivalent system representation is first derived. State observers are then constructed using linear combinations of ODE–PDE cascade filters, while swapping identifiers provide online parameter estimates. By integrating these elements, an adaptive backstepping control law is designed. It is proved that the proposed adaptive control law can stabilize the studied system. Finally, the effectiveness of the derived controller is verified via numerical simulations.
Keywords:
adaptive boundary control
hyperbolic systems
ODE–PDE–ODE cascade systems
swapping identifiers
unknown spatially-varying coefficients
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