Title: Application of wavelets transforms to distributed parameter systems' control

Authors: Gui-ge Gao, Xian-wen Zeng, Xing-sheng Gu

Addresses: Electric Engineering School, Shanghai Dianji University, Shanghai, China; Research Institute of Automation, East China University of Science and Technology, Shanghai, China. ' Electronic and Information School, Shanghai Dianji University, Shanghai, China. ' Research Institute of Automation, East China University of Science and Technology, Shanghai, China

Abstract: The distributed parameter systems (DPS) optimal boundary control problem described by the partial differential equations (PDEs) has been a thorny problem and a focus of some researchers recently. Based on Haar orthogonal wavelets approximate approach, this paper attempts to propose a new approach for a class of DPS boundary control. With the help of Haar wavelets transforms and its operational matrixes, by converting it into that of lumped parameter systems (LPS), the DPS| optimal boundary control problem can be solved. Compared with other orthogonal function approximate methods, the proposed method has advantages of little computation, simple algorithm and high approximate precision. The simulation results also proved that it is an efficient algorithm for DPS with the above merits.

Keywords: distributed parameter systems; DPS; wavelet transforms; wavelets; operational matrixes; optimal boundary control; optimal control; lumped parameter systems; simulation.

DOI: 10.1504/IJMIC.2010.033853

International Journal of Modelling, Identification and Control, 2010 Vol.10 No.1/2, pp.112 - 116

Published online: 02 Jul 2010 *

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