Eighth Mississippi State - UAB Conference on Differential Equations
and Computational Simulations.
Electron. J. Diff. Eqns., Conference 19 (2010), pp. 161-175.
Optimal control of a waste water cleaning plant
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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