IMAACA 2012 Proceeding

Neural network simulation of simple biological systems including optimal control problems

Authors:   Tibor Kmet, Maria Kmetova

Abstract

The mechanistic model of the phytoplankton photosynthesis-light intensity relationship and nitrogen transformation cycle are investigated. Assuming that phytoplankton regulates its photosynthetic production rate with certain strategy which maximizes photosynthetic and biomass production, respectively two such possible strategies were examined using a neural network based optimal control synthesis for solving fixed and free final time optimal control problems with control and state constraints. The optimal control problem is transcribed into nonlinear programming problem which is implemented with adaptive critic neural network. Results show that adaptive critic based systematic approach holds promise for obtaining the fixed and free final time optimal control with control and state constraints.

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