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.
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