Injection Molding Product Weight: Online Prediction and
Control Based on a Nonlinear Principal Component
Regression Model
Yi Yang, Furong Gao
Department of Chemical Engineering, The Hong Kong University of Science and Technology, Clearwater Bay,
Kowloon, Hong Kong, People’s Republic of China
Weight is an important quality characteristic of injection-
molding products. The current work focuses on the on-
line prediction and closed-loop control of the product
weight. Previous researchers used the process set-
points as the inputs to establish weight prediction
model. These models cannot reflect the weight varia-
tions at a given setting. In this study, an online weight
prediction model has been developed, with the process
variable trajectories as the inputs, using a principal com-
ponent regression (PCR) model. A nonlinear enhance-
ment has been made to improve the prediction accuracy
of the PCR weight model. Based on such an online
prediction, a closed-loop weight control system has
been developed and tested experimentally. POLYM. ENG.
SCI., 46:540 –548, 2006. © 2006 Society of Plastics Engineers
INTRODUCTION
Quality is the ultimate goal of injection-molding control,
like any manufacturing process. The quality attributes of
injection-molded products can be roughly divided into three
categories: (i) the dimensional properties such as weight,
length, and thickness, (ii) the surface properties represented
by the appearance of surface defects, such as sink marks,
record grooves, and jetting, and (iii) mechanical or optical
properties, such as tensile strength and impact strength.
Among these three categories, the product weight is an
important quality attribute for the following reasons. First, it
has a close relationship to other quality properties, particu-
larly those other dimensional properties. For instance, Harry
[1, 2] had shown a strong linear correlation between the
product length and weight. Second, product weight is a
good indication of process stability. A definition of the
quality says, “Quality is inversely proportional to variabil-
ity” [3]. The performance of the process and quality control
can be monitored by the product weight. Furthermore, the
weight control is of great commercial interest. Online pre-
diction of part weight has been a difficult but promising
task, which has been an active research topic in the past
decades.
The necessity of controlling the product weight in injec-
tion molding has been experimentally demonstrated in the
early 1990s. Davis and Hudson [4] evaluated the weight
variation before and after process interruption. They used a
Box-Jenkins model to fit the weight measurements, and
found a nonrandom variation during the process. By exam-
ining the influence of key process variables, namely injec-
tion pressure, packing pressure, cavity pressures, injection
stroke, and average cavity pressures, Harry [1, 2] confirmed
a close relationship between these process variables and the
part weight. The investigation of Schenker [5] suggested
that packing pressure, mold temperature, and hydraulic oil
temperature were the most significant variables that affect
the product weight.
Srinivasan et al. [6] proposed a method to control the part
weight in thermoplastic injection molding. A linear empir-
ical model has been developed to correlate the weight with
the set-points of mold temperature, melt temperature, pack-
ing time, and packing pressure, and a PI controller is de-
signed to control the part weight by adjusting the set-point
of packing pressure in a cycle-based fashion. Reasonable
control performance had been achieved. However, an online
weight measurement mechanism is necessary, which is not
feasible in the current molding industry.
Kamal et al. [7] developed a weight prediction method
based on the PVT relationship of amorphous thermoplas-
tics. On the basis of this prediction model, they later [8]
developed a closed-loop control system to control the prod-
uct weight online with reasonable accuracy. Their approach,
however, is limited to amorphous materials. For semicrys-
talline materials, because of the complicated crystallization
phenomenon experienced in the molding process, it is dif-
ficult to control the part weight, using this method.
Kim et al. [9] developed a modified factorial design
Correspondence to: Furong Gao; e-mail: kefgao@ust.hk
Contract grant sponsor: Hong Kong Research Grant Council; Contract
grant number: 601104.
DOI 10.1002/pen.20522
Published online in Wiley InterScience (www.interscience.wiley.
com).
© 2006 Society of Plastics Engineers
POLYMER ENGINEERING AND SCIENCE—2006