An optimal trace zinc biomonitor (Haliotis diversicolor supertexta) control system design in aquacultural ecosystems
Resource
Applied Mathematical Modelling 24 (1): 27-43
Journal
Applied Mathematical Modelling
Pages
27-43
Date Issued
2000
Date
2000
Author(s)
Abstract
The purpose of this paper is to synthesize an optimal trace metal biomonitor control system to efficiently manage aquacultural water quality. A biomonitor organism of gastropod mollusc Haliotis diversicolor supertexta was chosen 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-compartment pharmacokinetic model. A linear control model based on the dynamic bioaccumulation model is developed to design an optimal feedback biomonitor 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 synthesized. Numerical results from the model implementation show that the optimal selection of tuning parameters and the resulting costs vary with desired equilibrium state. The designed optimal feedback biomonitor control system, when suitably tuned, gives a satisfactory monitor of mollusc Zn bioaccumulation. The biomonitor control system developed accounting for bioaccumulation 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 biofilters and/or other control scenarios on water quality management in aquacultural ecosystems.
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journal article
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