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Stefan cel Mare
University of Suceava
Faculty of Electrical Engineering and
Computer Science
13, Universitatii Street
Suceava - 720229
ROMANIA

Print ISSN: 1582-7445
Online ISSN: 1844-7600
WorldCat: 643243560
doi: 10.4316/AECE


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  2/2015 - 15
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Optimal Control of Distributed Parameter Systems with Application to Transient Thermoelectric Cooling

KOTSUR, M. See more information about KOTSUR, M. on SCOPUS See more information about KOTSUR, M. on IEEExplore See more information about KOTSUR, M. on Web of Science
 
Click to see author's profile on See more information about the author on SCOPUS SCOPUS, See more information about the author on IEEE Xplore IEEE Xplore, See more information about the author on Web of Science Web of Science

Download PDF pdficon (763 KB) | Citation | Downloads: 337 | Views: 1,382

Author keywords
control theory, cooling, current control, optimization, temperature dependence, thermoelectricity

References keywords
control(20), optimal(12), systems(8), applied(6), computation(5), thermoelectricity(4), parameter(4), distributed(4), applications(4)
Blue keywords are present in both the references section and the paper title.

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

Abstract
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Full text preview
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.


References | Cited By  «-- Click to see who has cited this paper

[1] N. U. Ahmed, "Distributed Parameter Systems", in Encyclopedia of Physical Science and Technology (Third Edition), Academic PRESS, pp. 561-587, 2003.

[2] S. A. Alessandri, M. Gaggero, R. Zoppoli, "Feedback Optimal Control of Distributed Parameter Systems by Using Finite-Dimensional Approximation Schemes", IEEE Transactions on Neural Networks and Learning Systems, vol. 23, no. 6, June, pp. 984-995, 2012.
[CrossRef] [Web of Science Times Cited 16] [SCOPUS Times Cited 21]


[3] Guangcao Ji, Clyde Martin, "Optimal Boundary Control of the Heat Equation with Target Function at Terminal Time", Applied Mathematics and Computation, vol. 127, pp. 335-345, 2002.
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[4] M. A. Bokhari, I. S. Sadek, "Optimal Control of Parabolic Systems with Infinite Time Horizons", Applied Mathematics and Computation, vol. 206, pp. 678-684, 2008.
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[CrossRef] [Web of Science Times Cited 83] [SCOPUS Times Cited 96]


[6] I. Kucuk, I. Sadek, Y. Yilmaz, "Optimal Control of a Distributed Parameter System with Applications to Beam Vibrations Using Piezoelectric Actuators", Journal of the Franklin Institute, vol. 351, issue 2, February, pp. 656-666, 2014.
[CrossRef] [Web of Science Times Cited 5] [SCOPUS Times Cited 6]


[7] A. Zuyev, "Partial Asymptotic Stabilization of Nonlinear Distributed Parameter Systems", Automatica, vol. 41, pp. 1-10, 2005.
[CrossRef] [Web of Science Times Cited 10] [SCOPUS Times Cited 15]


[8] E. Zuazua, "Propagation, Observation, and Control of Waves Approximated by Finite Difference Methods", SIAM Rev., vol. 47, no. 2, pp. 197-243, 2005.
[CrossRef] [Web of Science Times Cited 160] [SCOPUS Times Cited 166]


[9] M. Krstic, B.-Z. Guo, A. Smyshlyaev, "Boundary Controllers and Observers for the Linearized Schrödinger Equation", SIAM J. Control Opt., vol. 49, no. 4, pp. 1479-1497, 2011.
[CrossRef] [Web of Science Times Cited 35] [SCOPUS Times Cited 38]


[10] M. Subas, "An Optimal Control Problem Governed by the Potential of a Linear Schrodinger Equation", Applied Mathematics and Computation, vol. 131, pp. 95-106, 2002.
[CrossRef] [SCOPUS Times Cited 10]


[11] L. J. Alvarez-Vazquez, F. J. Fernandez, "Optimal Control of a Bioreactor", Applied Mathematics and Computation, vol. 216, pp. 559-2575, 2010.
[CrossRef] [Web of Science Times Cited 1] [SCOPUS Times Cited 3]


[12] Sang-Uk Ryu, Atsushi Yagi, "Optimal Control for an Adsorbate-Induced Phase Transition Model", Applied Mathematics and Computation, vol. 171, pp. 420-432, 2005.
[CrossRef] [Web of Science Times Cited 9] [SCOPUS Times Cited 9]


[13] K. H. Hoffman, L. Jiang, "Optimal Control of a Phase Field Model for Solidification", Numer. Funct. Anal. and Optimiz., vol. 13, no.. 1&2, pp. 11-27, 1992.
[CrossRef] [SCOPUS Times Cited 74]


[14] V. Muresan, M. Abrudean, M. Unguresan, T. Colosi ,"Cascade Control of a Residual Water Blunting System", Advances in Electrical and Computer Engineering, vol. 14, no. 2, pp. 135-144, 2014.
[CrossRef] [Full Text] [Web of Science Times Cited 6] [SCOPUS Record]


[15] Samira Berkani, Farida Manseur, Ahmed Maidi, "Optimal Control Based on the Variational Iteration Method", Computers and Mathematics with Applications, vol. 64, pp. 604-610, 2012.
[CrossRef] [Web of Science Times Cited 12] [SCOPUS Times Cited 13]


[16] R. W.H. Sargent, "Optimal Control", Journal of Computational and Applied Mathematics, vol. 124, pp. 361-371, 2000.
[CrossRef] [SCOPUS Times Cited 47]


[17] R. Luus, "On the Application of Iterative Dynamic Programming to Singular Optimal Control Problems", IEEE Transactions on Automatic Control, vol. 37, pp. 1802-1806, 1992.
[CrossRef] [SCOPUS Times Cited 49]


[18] L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, E. F. Mishchenko, The Mathematical Theory of Optimal Processes. Pergamon Press, New York, pp. 15-42, 1964.

[19] L. I. Anatychuk, Thermoelectricity. Thermoelectric Convertors. Institute of Thermoelectricity, Chernivtsi, pp. 272-297, 2003.

[20] Ronggui Yang, Gang Chen, A. Ravi Kumar, G. Jeffrey Snyder, Jean-Pierre Fleurial, "Transient Cooling of Thermoelectric Coolers and Its Applications for Microdevices", Energy Conversion and Management, vol. 46, pp. 1407-1421, 2005.
[CrossRef] [Web of Science Times Cited 61] [SCOPUS Times Cited 69]


[21] A. Besancon-Voda, "Iterative Auto-Calibration of Digital Controllers: Methodology and Applications", Control Engineering Practice, vol. 6, no. 3, pp. 345-358, 1998.
[CrossRef] [SCOPUS Times Cited 17]


[22] R.-E. Precup, S. Preitl, "PI and PID Controllers Tuning for Integral-type Servo Systems to Ensure Robust Stability and Controller Robustness", Electrical Engineering, vol. 88, no. 2, pp.149-156, 2006.
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[23] V. J. Ginter, J. K. Pieper, "Robust Gain Scheduled Control of a Hydrokinetic Turbine", IEEE Transactions on Control Systems Technology, vol. 19, no. 4, pp. 805-817, 2011.
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[24] S. John, J. O. Pedro, "Neural Network-Based Adaptive Feedback Linearization Control of Antilock Braking System", International Journal of Artificial Intelligence, vol. 10, no. S13, pp. 21-40, 2013. [Online] Available: Temporary on-line reference link removed - see the PDF document

[25] L. I. Anatychuk, L. N. Vikhor, Thermoelectricity. Volume IV. Functionally Graded Thermoelectric Materials. Institute of Thermoelectricity, Chernivtsi, pp. 105-106, 2012.



References Weight

Web of Science® Citations for all references: 463 TCR
SCOPUS® Citations for all references: 712 TCR

Web of Science® Average Citations per reference: 18 ACR
SCOPUS® Average Citations per reference: 27 ACR

TCR = Total Citations for References / ACR = Average Citations per Reference

We introduced in 2010 - for the first time in scientific publishing, the term "References Weight", as a quantitative indication of the quality ... Read more

Citations for references updated on 2017-12-12 18:46 in 143 seconds.




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Faculty of Electrical Engineering and Computer Science
Stefan cel Mare University of Suceava, Romania


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