| Saint-Venant方程组Crank-Nicolson格式离散与学习控制建模 |
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| 引用本文： | 李光,戴喜生.Saint-Venant方程组Crank-Nicolson格式离散与学习控制建模[J].计算技术与自动化,2017(1):6-11. |
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| 作者姓名： | 李光 戴喜生 |
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| 作者单位： | (1. 广西科技大学 电气与信息工程学院，广西 柳州545006；2. 智能综合自动化高校重点实验室（桂林电子科技大学），广西 桂林541004) |
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| 摘 要： | 研究了Saint-Venant方程组的Crank-Nicolson格式离散化并建立学习控制模型.首先给出了表示明渠流水流质量和动量守恒的Saint-Venant方程组，并线性化；其次，采用Crank-Nicolson格式进行离散，得到了无条件稳定的离散化方程组；最后通过离散化后得到的状态空间方程，建立了基于迭代学习控制的数学模型，为后续进一步研究算法的收敛性奠定了基础.
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| 关 键 词： | Saint-Venant方程 离散化 Crank-Nicolson格式 迭代学习控制 |
Crank-Nicolson Scheme for Saint-Venant System of Equations and Learning Control Modeling |
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| LI Guang,DAI Xi-sheng.Crank-Nicolson Scheme for Saint-Venant System of Equations and Learning Control Modeling[J].Computing Technology and Automation,2017(1):6-11. |
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| Authors: | LI Guang DAI Xi-sheng |
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| Abstract: | This paper concerned with Crank-Nicolson format discretization method for Saint-Venant equations, and building a learning control model. Firstly, Saint-Venant continuous equations were given, which with respect to open channel flow mass and momentum conservation, and linearization. Secondly, The Crank-Nicolson approach discrete for linearization of Saint-Venant equations was presented. Then unconditionally stable discrete equations were obtained. Finally, Mathematical model of the iterative learning control was established from state space equation, which have a sound theoretical basis for later study of convergence of the algorithm. |
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| Keywords: | Saint-Venant equations discretization Crank-Nicolson scheme iterative learning control |
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