Abstract
This paper provides a method to design a robust observer for
matrix-Lipchitz nonlinear systems with measurement delay. The design
procedure will produce a stable observer when only the measurement delay
is present. The design procedure achieves a L 2 performance in the
presence of model uncertainties, unknown disturbance input, and
measurement noise. The conditions for the existence of the said
observers are formulated as Linear Matrix Inequalities (LMIs) that can
be solved offline using commercial solvers. Compared to previous
literature, the proposed conditions are both necessary and sufficient.
The observer design procedure is demonstrated through two illustrative
examples.