Ellina V. Grigorieva, Evgenii N. Khailov
Abstract:
In this work, a model of a waste water treatment plant is
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 the polluted water at the
terminal time T is stated and solved analytically with the use of
the Pontryagin Maximum Principle. Dependence of the optimal solution
on the initial conditions is established. Computer simulations of a
model of an industrial waste water treatment plant show the advantage
of using our optimal strategy. Possible applications are discussed.
Published September 25, 2010.
Math Subject Classifications: 49J15, 49N90, 93C10, 93C95.
Key Words: Optimal control problem; nonlinear model;
waste water cleaning process.
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Ellina V. Grigorieva Department of Mathematics and Computer Science Texas Woman's University Denton, TX 76204, USA email: EGrigorieva@mail.twu.edu |
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Evgenii N. Khailov Department of Computer Mathematics and Cybernetics Moscow State Lomonosov University Moscow, 119991, Russia email: Khailov@cs.msu.su |
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