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Optimal estuary aeration: An application of distributed parameter control theory

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Abstract

The use of artificial induced aeration has been suggested as a means for improving water quality. The task of controlling the aeration input rate to obtain maximum improvement with least cost is addressed as an optimization problem of a distributed parameter control system. A partial differential equation model for the dissolved oxygen balance in streams and estuaries is given, and a criterion functional is proposed in which the control can be found as the solution of an optimization problem in a Hilbert space. An analytic solution for the optimal feedback control of a stream aeration system is found, and a numerical algorithm for the estuary case is applied to an example using historical data from the Delaware estuary. The sensitivity of the control to system and input variations is discussed, and the dollar cost for the example is compared with costs for other suboptimal control schemes.

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  1. The Singer Company, Glendale, California, USA

    Wayne Hullett

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  1. Wayne Hullett
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The research described in this paper is based on the author's doctoral dissertation, prepared under the supervision of Prof. A. V. Balakrishnan at the University of California, Los Angeles.

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Hullett, W. Optimal estuary aeration: An application of distributed parameter control theory. Appl Math Optim 1, 20–63 (1974). https://doi.org/10.1007/BF01449023

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