Cm. Liao et al., An optimal trace zinc biomonitor (Haliotis diversicolor supertexta) control system design in aquacultural ecosystems, APPL MATH M, 24(1), 2000, pp. 27-43
The purpose of this paper is to synthesize an optimal trace metal biomonito
r control system to efficiently manage aquacultural water quality. A biomon
itor organism of gastropod mollusc Haliotis diversicolor supertexta was cho
sen to estimate zinc (Zn) bioaccumulation. The bioaccumulation dynamics of
Zn by H. diversicolor supertexta from an alga Gracilaria tenuistipitata var
. liui and ambient water in aquaculture ponds is developed based on a six-c
ompartment pharmacokinetic model. A linear control model based on the dynam
ic bioaccumulation model is developed to design an optimal feedback biomoni
tor control system. Linear quadratic regulators (LQRs) with output feedback
control of a linear-invariant system are assigned for design algorithm and
an optimal proportional plus integral (PI) feedback control strategy is sy
nthesized. Numerical results from the model implementation show that the op
timal selection of tuning parameters and the resulting costs vary with desi
red equilibrium state. The designed optimal feedback biomonitor control sys
tem, when suitably tuned, gives a satisfactory monitor of molluse Zn bioacc
umulation. The biomonitor control system developed accounting for bioaccumu
lation dynamics of Zn in the target tissues of molluscs can be used in the
future to evaluate the effects of suspended solid removal devices and biofi
lters and/or other control scenarios on water quality management in aquacul
tural ecosystems. (C) 2000 Elsevier Science Inc. All rights reserved.