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小波逼近法在分布参数系统最优点式控制中的应用
引用本文:高桂革,曾宪文.小波逼近法在分布参数系统最优点式控制中的应用[J].上海电机学院学报,2008,11(3).
作者姓名:高桂革  曾宪文
作者单位:1. 上海电机学院电气学院,上海,200240
2. 上海电机学院电子信息学院,上海,200240
摘    要:借助正交函数逼近方法,将Haar小波作为正交基函数,推出了Haar小波对应的微分运算矩阵、乘积积分运算以及元素乘积运算矩阵,并将其应用到分布参数系统的最优点式控制问题的研究中,获得了性能较好的小波逼近算法。仿真示例验证了所提算法的有效性。

关 键 词:分布参数系统  函数逼近  小波变换  最优点式控制

Wavelet Transform Based Optimal Point-wise Control of Distributed Parameter Systems
GAO Guige,ZENG Xianwen.Wavelet Transform Based Optimal Point-wise Control of Distributed Parameter Systems[J].JOurnal of Shanghai Dianji University,2008,11(3).
Authors:GAO Guige  ZENG Xianwen
Affiliation:GAO Guigea; ZENG Xianwenb(a.School of Electric; b.School of Electrionic Information; Shanghai Dianji University; Shanghai 200240; China);
Abstract:Based on orthogonal function approximation theory,orthogonal Haar wavelet basis is applied to solve the optimal point-wise control problem of distributed parameter systems in this paper.The differential operational matrix,the product integrated operational matrix and product operational matrix of Haar wavelet basis have been proposed.And because these operational matrices have been applied to convert the optimal point-wise control of distributed parameter systems to the lumped one,an approximation algorithm...
Keywords:distributed parameter systems(DPS)  function approximation  wavelet transform  optimal point-wise control
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