On-Line Optimizing Control of Bulk Polymerization
of Methyl Methacrylate: Some Experimental Results
for Heater Failure
RAJU B. MANKAR, DEOKI N. SARAF, SANTOSH K. GUPTA
Department of Chemical Engineering, Indian Institute of Technology, Kanpur 208 016, India
Received 1 March 2001; accepted 18 October 2001
Published online 18 June 2002 in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/app.10869
ABSTRACT: An experimental unit has been assembled to carry out on-line optimizing
control of the bulk polymerization of methyl methacrylate (MMA). A rheometer–reactor
assembly is used. Temperature and viscosity measurements are used to describe the
state of the system. The polymerization is carried out under an off-line computed
optimal temperature history, T
op
(t). A planned disturbance (heating system failure) is
introduced at time t
1
. This disturbance leads to a fall in the temperature of the reaction
mass. A new optimal temperature history, T
reop
(t), is re-computed on-line and is
implemented on the reaction mass at time t
2
, when the heating is resumed. This
procedure helps ‘save the batch’. A genetic algorithm is used to compute this reopti-
mized temperature history in a short period of 2 min of real time. The feasibility of the
on-line optimizing control scheme has been demonstrated experimentally. Replicable
results for the viscosity history, (t), of the polymerizing mass under several non-
isothermal conditions have been obtained. These experimental results are quite trust-
worthy, even though the model predictions are only in approximate agreement with
them, perhaps because of the extreme sensitivity of results to the values of the model
parameters. © 2002 Wiley Periodicals, Inc. J Appl Polym Sci 85: 2350 –2360, 2002
Key words: optimization; genetic algorithm; PMMA; polymerization; on-line optimal
control
INTRODUCTION
The physical properties of any commodity plastic
depend largely on its molecular weight distribu-
tion (MWD). Generally, from the point of view of
product application, it is desirable to have high
weight-average molecular weight, M
w
, products
with a narrow MWD. Martin et al.
1
and Nunes et
al.
2
have shown that narrowing the MWD im-
proves the thermal properties, stress–strain rela-
tionships, impact resistance, and hardness and
strength of the polymer. To produce such materi-
als in industrial reactors, we need to measure the
‘state’ of the reaction mass (e.g., polymer concen-
tration, M
w
, etc.) continuously as the polymeriza-
tion proceeds and take corrective action whenever
there are any ‘disturbances’ to planned operation.
Unfortunately, experimental measurements of
the polymer concentration and the MWD (or the
average molecular weights) on-line are not easy,
particularly for bulk polymerizations,
3,4
and easy-
to-measure secondary variables need to be used to
provide reliable inferential measurements of
these quantities. In our earlier work,
5–7
we re-
ported how the viscosity, , of the reaction mass
(or any related property, like the electrical power
required for stirring the reaction mass) and the
temperature, T, at time, t, both of which are easily
Correspondence to: S. K. Gupta (skgupta@iitk.ac.in).
* Present address: Dr. Babasaheb Ambedkar Technological
University, Lonere 402 103, India.
Journal of Applied Polymer Science, Vol. 85, 2350 –2360 (2002)
© 2002 Wiley Periodicals, Inc.
2350