| 线性时延系统用Hermite正交多项式的最优控制 |
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| 引用本文： | 王孝红.线性时延系统用Hermite正交多项式的最优控制[J].济南大学学报(自然科学版),1988(3). |
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| 作者姓名： | 王孝红 |
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| 作者单位： | 山东建材学院自动化系 |
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| 摘 要： | 本文论述了Hermite正交多项式的性质,并引入Hermite积分运算矩阵和时延运算矩阵,将Hermite正交多项式应用于具有二次型性能指标的时延系统的最优控制。该方法将函数积分的优化转为线性代数方程的优化,因此,大大减少计算的难度,文中给出了计算实例。
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| 关 键 词： | 线性系统 时延系统 最优控制 |
OPTIMAL CONTROL OF TIME-DELAY SYSTEMS BY HERMITE POLYNOMALS |
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| Wang Xiaohong.OPTIMAL CONTROL OF TIME-DELAY SYSTEMS BY HERMITE POLYNOMALS[J].Journal of Jinan University(Science & Technology),1988(3). |
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| Authors: | Wang Xiaohong |
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| Institution: | Wang Xiaohong |
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| Abstract: | Properties of Hermite polynomials are discussed, Hermite integral operational matrix and delayed operational matrix are intruduced. Hermite polynomials is applied to obtain the optimal control of timedelay systems with quadratic cost functional. The method reduces the original problem of optimization of a functional integral to the optimization of linear algebric equation. Hence,computation difficulties are considerably reduced. Example is given. |
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