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.
Boundary Estimation of Boundary Parameters for Linear Hyperbolic PDEs / Bin, Michelangelo; DI Meglio, Florent. - In: IEEE TRANSACTIONS ON AUTOMATIC CONTROL. - ISSN 0018-9286. - STAMPA. - 62:8(2017), pp. 7792676.3890-7792676.3904. [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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
