Ricerc@Sapienza

Boundary observer design of a system of n chi-ODEs coupled to nx-hyperbolic PDEs with positive convective speeds is studied. An infinite dimensional observer is used to solve the considered state estimation problem. The interconnection of the observer and the system is written in estimation error coordinates and analyzed as an abstract dynamical system on a specific Hilbert space. The design of the observer is performed to achieve global exponential stability of the estimation error with respect to a suitable norm.

The problem of unknown input observer design is considered for coupled PDE/ODE linear systems subject to unknown boundary inputs. Assuming available measurements at the boundary of the distributed domain, the synthesis of the observer is based on geometric conditions and Lyapunov methods. Numerical simulations support and validate the theoretical findings, illustrating the robust estimation performances of the proposed unknown input observer.