| 2/2015 - 15 | View TOC | « Previous Article | Next Article » |
Optimal Control of Distributed Parameter Systems with Application to Transient Thermoelectric CoolingKOTSUR, M.   |
Extra paper information in    |
| Click to see author's profile in SCOPUS, IEEE Xplore, Web of Science |
Download PDF  (763 KB) | Citation | Downloads: 896 | Views: 2,070 |
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
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 29] [SCOPUS Times Cited 35] [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. [CrossRef] [Web of Science Times Cited 7] [SCOPUS Times Cited 8] [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. [CrossRef] [Web of Science Times Cited 2] [SCOPUS Times Cited 3] [5] N. H. El-Farra, A. Armaou, P. D. Christofides, "Analysis and Control of Parabolic PDE Systems with Input Constraints", Automatica, vol. 39, pp. 715 - 725, 2003. [CrossRef] [Web of Science Times Cited 143] [SCOPUS Times Cited 155] [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 14] [SCOPUS Times Cited 15] [7] A. Zuyev, "Partial Asymptotic Stabilization of Nonlinear Distributed Parameter Systems", Automatica, vol. 41, pp. 1-10, 2005. [CrossRef] [Web of Science Times Cited 15] [SCOPUS Times Cited 17] [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 271] [SCOPUS Times Cited 291] [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 85] [SCOPUS Times Cited 86] [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] [Web of Science Times Cited 10] [SCOPUS Times Cited 13] [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 9] [SCOPUS Times Cited 10] [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 10] [SCOPUS Times Cited 11] [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] [Web of Science Times Cited 85] [SCOPUS Times Cited 94] [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 Times Cited 6] [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 28] [SCOPUS Times Cited 33] [16] R. W.H. Sargent, "Optimal Control", Journal of Computational and Applied Mathematics, vol. 124, pp. 361-371, 2000. [CrossRef] [Web of Science Times Cited 85] [SCOPUS Times Cited 104] [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] [Web of Science Times Cited 46] [SCOPUS Times Cited 64] [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 116] [SCOPUS Times Cited 133] [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] [Web of Science Times Cited 19] [SCOPUS Times Cited 25] [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. [CrossRef] [Web of Science Times Cited 63] [SCOPUS Times Cited 72] [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. [CrossRef] [Web of Science Times Cited 26] [SCOPUS Times Cited 38] [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. Web of Science® Citations for all references: 1,069 TCR SCOPUS® Citations for all references: 1,213 TCR Web of Science® Average Citations per reference: 41 ACR SCOPUS® Average Citations per reference: 47 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 2024-12-12 04:30 in 136 seconds. Note1: Web of Science® is a registered trademark of Clarivate Analytics. Note2: SCOPUS® is a registered trademark of Elsevier B.V. Disclaimer: All queries to the respective databases were made by using the DOI record of every reference (where available). Due to technical problems beyond our control, the information is not always accurate. Please use the CrossRef link to visit the respective publisher site. |
Copyright ©2001-2024
Faculty of Electrical Engineering and Computer Science
Stefan cel Mare University of Suceava, Romania
All rights reserved: Advances in Electrical and Computer Engineering is a registered trademark of the Stefan cel Mare University of Suceava. No part of this publication may be reproduced, stored in a retrieval system, photocopied, recorded or archived, without the written permission from the Editor. When authors submit their papers for publication, they agree that the copyright for their article be transferred to the Faculty of Electrical Engineering and Computer Science, Stefan cel Mare University of Suceava, Romania, if and only if the articles are accepted for publication. The copyright covers the exclusive rights to reproduce and distribute the article, including reprints and translations.
Permission for other use: The copyright owner's consent does not extend to copying for general distribution, for promotion, for creating new works, or for resale. Specific written permission must be obtained from the Editor for such copying. Direct linking to files hosted on this website is strictly prohibited.
Disclaimer: Whilst every effort is made by the publishers and editorial board to see that no inaccurate or misleading data, opinions or statements appear in this journal, they wish to make it clear that all information and opinions formulated in the articles, as well as linguistic accuracy, are the sole responsibility of the author.
Faculty of Electrical Engineering and Computer Science
Stefan cel Mare University of Suceava, Romania
All rights reserved: Advances in Electrical and Computer Engineering is a registered trademark of the Stefan cel Mare University of Suceava. No part of this publication may be reproduced, stored in a retrieval system, photocopied, recorded or archived, without the written permission from the Editor. When authors submit their papers for publication, they agree that the copyright for their article be transferred to the Faculty of Electrical Engineering and Computer Science, Stefan cel Mare University of Suceava, Romania, if and only if the articles are accepted for publication. The copyright covers the exclusive rights to reproduce and distribute the article, including reprints and translations.
Permission for other use: The copyright owner's consent does not extend to copying for general distribution, for promotion, for creating new works, or for resale. Specific written permission must be obtained from the Editor for such copying. Direct linking to files hosted on this website is strictly prohibited.
Disclaimer: Whilst every effort is made by the publishers and editorial board to see that no inaccurate or misleading data, opinions or statements appear in this journal, they wish to make it clear that all information and opinions formulated in the articles, as well as linguistic accuracy, are the sole responsibility of the author.
