Luenberger observer design for state estimation of a linear parabolic distributed parameter system with discrete measurement sensors

This paper discusses the problem of Luenberger-type PDE observer design for state estimation of a linear parabolic distributed parameter system with discrete measurement sensors. Both pointwise measurement and piecewise uniform measurement are considered. Lyapunov-based design methods of a Luenberger-type PDE observer using the measurement output are derived for the PDE system, and presented in terms of standard linear matrix inequalities (LMIs). Numerical simulation results are presented to show the effectiveness of the proposed design methods.