Ellina V. Grigorieva, Evgenii N. Khailov
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
| Evgenii N. Khailov |
Department of Computer Mathematics and Cybernetics
Moscow State Lomonosov University
Moscow, 119991, Russia
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