Abstract
We will now consider the \( n + 1 \) system (13.1) again, but with the parameter q in the boundary condition at \( x = 0 \) anti-collocated with actuation uncertain.We allow system (13.1) to have spatially varying coefficients, and assume (13.9) and (13.7), and derive an observer estimating the system states and q from boundary sensing only.
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References
Anfinsen H, Aamo OM (2017) Adaptive stabilization of $ n + 1 $ coupled linear hyperbolic systems with uncertain boundary parameters using boundary sensing. Syst Control Lett 99:72–84
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Anfinsen H, Di Meglio F, Aamo OM (2016) Estimating the left boundary condition of coupled 1–D linear hyberbolic PDEs from right boundary sensing. In: 15th European control conference, Aalborg, Denmark
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Anfinsen, H., Aamo, O.M. (2019). Adaptive Output-Feedback: Uncertain Boundary Condition. In: Adaptive Control of Hyperbolic PDEs. Communications and Control Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-05879-1_16
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DOI: https://doi.org/10.1007/978-3-030-05879-1_16
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