Abstract: In this paper, we propose a geometric modeling of
illumination on the patterned image containing etching transistor. This
image is captured by a commercial camera during the inspection of
a TFT-LCD panel. Inspection of defect is an important process in the
production of LCD panel, but the regional difference in brightness,
which has a negative effect on the inspection, is due to the uneven
illumination environment. In order to solve this problem, we present
a geometric modeling of illumination consisting of an interpolation
using the least squares method and 3D modeling using bezier surface.
Our computational time, by using the sampling method, is shorter
than the previous methods. Moreover, it can be further used to correct
brightness in every patterned image.
Abstract: Repetitive systems stand for a kind of systems that
perform a simple task on a fixed pattern repetitively, which are
widely spread in industrial fields. Hence, many researchers have been
interested in those systems, especially in the field of iterative learning
control (ILC). In this paper, we propose a finite-horizon tracking
control scheme for linear time-varying repetitive systems with uncertain
initial conditions. The scheme is derived both analytically
and numerically for state-feedback systems and only numerically for
output-feedback systems. Then, it is extended to stable systems with
input constraints. All numerical schemes are developed in the forms
of linear matrix inequalities (LMIs). A distinguished feature of the
proposed scheme from the existing iterative learning control is that
the scheme guarantees the tracking performance exactly even under
uncertain initial conditions. The simulation results demonstrate the
good performance of the proposed scheme.