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Boundary estimation of parameters for linear hyperbolic PDEs

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 travelling 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.
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Contributor : François Chaplais Connect in order to contact the contributor
Submitted on : Monday, February 27, 2017 - 4:54:31 PM
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Michelangelo Bin, Florent Di Meglio. Boundary estimation of parameters for linear hyperbolic PDEs. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2016, PP (99), ⟨10.1109/TAC.2016.2643442⟩. ⟨hal-01477842⟩



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