We propose an adaptive observer scheme to estimate boundary parameters in first-order hyperbolic systems of Partial Differential Equations (PDE). The considered systems feature an arbitrary number of states traveling in one direction and one counter-convecting state. Uncertainties in the boundary reflection coefficients and boundary additive errors are estimated relying on a pre-existing observer design and a novel Lyapunov-based adaptation law.
Bin, M., DI Meglio, F. (2017). Boundary Estimation of Boundary Parameters for Linear Hyperbolic PDEs. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 62(8), 3890-3904 [10.1109/TAC.2016.2643442].
Boundary Estimation of Boundary Parameters for Linear Hyperbolic PDEs
Bin, Michelangelo
Writing – Original Draft Preparation
;
2017
Abstract
We propose an adaptive observer scheme to estimate boundary parameters in first-order hyperbolic systems of Partial Differential Equations (PDE). The considered systems feature an arbitrary number of states traveling in one direction and one counter-convecting state. Uncertainties in the boundary reflection coefficients and boundary additive errors are estimated relying on a pre-existing observer design and a novel Lyapunov-based adaptation law.File in questo prodotto:
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