Optimal control of a biological waste-water treatment plant

Date
2009-05
Authors
Montminy, Alex
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Abstract

In this paper a mathematical model of a biological waste cleaning plant is created and investigated. The model is described by a nonlinear system of two differential equations with one bounded control. An optimal control problem of minimizing concentration of contaminated water at terminal time T is stated and solved. Optimal solutions are obtained analytically with the use of Pontryagin's Maximum Principle.

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Keywords
Pure sciences, Pontryagin's Maximum Principle, Water filtration, Water pollution
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