Unknown Input Observer design for coupled PDE/ODE linear systems

Abstract

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.

Unknown Input Observer Design for a Class of Semilinear Hyperbolic Systems With Dynamic Boundary Conditions

“…The construction proposed in this paper, which extends the preliminary work [24] by including nonlinear terms and allowing for space-dependent coefficients, relies on geometric conditions and combines the left and right boundary outputs in order to guarantee an exponentially stable error dynamics. Furthermore, a linear matrix inequalities-based procedure for the synthesis of observer gain matrices is given.…”