Eighth Mississippi State - UAB Conference on Differential Equations and
Computational Simulations.
Electron. J. Diff. Eqns., Conference 19 (2010), pp. 161-175.

Title: Optimal control of a waste water cleaning plant

Authors: Ellina V. Grigorieva (Texas Woman's Univ. Denton, TX, USA)
         Evgenii N. Khailov (Moscow State Lomonosov Univ., Moscow, Russia)
 
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.