T. Vielhaben et al., Design of fuzzy control for maintaining a CSTR in the steep section of itsnonlinear characteristic, CHEM ENG TE, 24(2), 2001, pp. 205-212
The operation of a continuous stirred tank reactor (CSTR) in the steep doma
in of its nonlinear process characteristic is studied, using catalyzed hydr
ogen peroxide decomposition as a model process because of its transparent n
onlinear dynamics. Unstable equilibrium states and corresponding limit cycl
es exist in the steep domain, the latter representing dynamically stable mo
des of operation where safer control is expected due to the lower educt con
centration in the reactor. For CSTR control in the steep domain, a fuzzy ap
proach is applied based on simulations and experimental understanding of th
e stable and unstable states of the reactor. Simulations are carried out fo
r the set-point control of an unstable equilibrium state, and the tracking
control of the corresponding stable limit cycle. The simulation results sho
w that operation in the limit cycle requires much less control energy than
that of the corresponding unstable equilibrium state in the case of disturb
ances, e. g., due to unavoidable modelling errors.