1. Boundary Estimation of Boundary Parameters for Linear Hyperbolic PDEs
- Author
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Florent Di Meglio, Michelangelo Bin, Bin, Michelangelo, and DI Meglio, Florent
- Subjects
Lyapunov function ,0209 industrial biotechnology ,Partial differential equation ,Observer (quantum physics) ,020209 energy ,Boundary estimation ,Boundary (topology) ,02 engineering and technology ,Singular boundary method ,Computer Science Applications ,symbols.namesake ,020901 industrial engineering & automation ,Control and Systems Engineering ,Control theory ,Adaptive system ,Identification for Control ,partial differential equations (PDEs) ,0202 electrical engineering, electronic engineering, information engineering ,Free boundary problem ,symbols ,Applied mathematics ,Boundary value problem ,Electrical and Electronic Engineering ,Mathematics - 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.
- Published
- 2017