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Optimal Control of Distributed Parameter Systems with Application to Transient Thermoelectric CoolingKOTSUR, M.
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control theory, cooling, current control, optimization, temperature dependence, thermoelectricity
control(20), optimal(12), systems(8), applied(6), computation(5), thermoelectricity(4), parameter(4), distributed(4), applications(4)
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About this article
Date of Publication: 2015-05-31
Volume 15, Issue 2, Year 2015, On page(s): 117 - 122
ISSN: 1582-7445, e-ISSN: 1844-7600
Digital Object Identifier: 10.4316/AECE.2015.02015
Web of Science Accession Number: 000356808900015
SCOPUS ID: 84979842303
We give a solution of optimal control problem for distributed parameter systems described by nonlinear partial differential equations with nonstandard boundary conditions. The variational method is used to obtain the general form of the necessary conditions of optimality. A suitable algorithm based on the numerical method of successive approximations has been constructed for computing the optimal control functions. The results are applied for optimization of transient thermoelectric cooling process. Optimal dependences of current on time have been calculated for thermoelectric cooler power supply with the purpose of minimizing the cooling temperature within a preset time interval.
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