Minimization of Pollution Concentration on a Given Time Interval for the Waste Water Cleaning Plant
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 on the given time interval is stated and solved analytically wit...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2010/712794 |
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| _version_ | 1849307816236417024 |
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| author | E. V. Grigorieva E. N. Khailov |
| author_facet | E. V. Grigorieva E. N. Khailov |
| author_sort | E. V. Grigorieva |
| collection | DOAJ |
| description | 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 on the given time interval is stated and solved analytically with the use of the Pontryagin Maximum Principle and Green's Theorem. Computer simulations of a model of an industrial waste water treatment plant show the advantage of using our optimal strategy. Possible applications are discussed. |
| format | Article |
| id | doaj-art-29c5faa03cf04e879c1f2c937b27a356 |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-29c5faa03cf04e879c1f2c937b27a3562025-08-20T03:54:37ZengWileyJournal of Control Science and Engineering1687-52491687-52572010-01-01201010.1155/2010/712794712794Minimization of Pollution Concentration on a Given Time Interval for the Waste Water Cleaning PlantE. V. Grigorieva0E. N. Khailov1Department of Mathematics and Computer Science, Texas Woman's University, Denton, TX 76204, USADepartment of Computer Mathematics and Cybernetics, Moscow State Lomonosov University, Moscow 119992, RussiaA 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 on the given time interval is stated and solved analytically with the use of the Pontryagin Maximum Principle and Green's Theorem. Computer simulations of a model of an industrial waste water treatment plant show the advantage of using our optimal strategy. Possible applications are discussed.http://dx.doi.org/10.1155/2010/712794 |
| spellingShingle | E. V. Grigorieva E. N. Khailov Minimization of Pollution Concentration on a Given Time Interval for the Waste Water Cleaning Plant Journal of Control Science and Engineering |
| title | Minimization of Pollution Concentration on a Given Time Interval
for the Waste Water Cleaning Plant |
| title_full | Minimization of Pollution Concentration on a Given Time Interval
for the Waste Water Cleaning Plant |
| title_fullStr | Minimization of Pollution Concentration on a Given Time Interval
for the Waste Water Cleaning Plant |
| title_full_unstemmed | Minimization of Pollution Concentration on a Given Time Interval
for the Waste Water Cleaning Plant |
| title_short | Minimization of Pollution Concentration on a Given Time Interval
for the Waste Water Cleaning Plant |
| title_sort | minimization of pollution concentration on a given time interval for the waste water cleaning plant |
| url | http://dx.doi.org/10.1155/2010/712794 |
| work_keys_str_mv | AT evgrigorieva minimizationofpollutionconcentrationonagiventimeintervalforthewastewatercleaningplant AT enkhailov minimizationofpollutionconcentrationonagiventimeintervalforthewastewatercleaningplant |