Saint-Venant方程组Crank-Nicolson格式离散与学习控制建模  

Crank-Nicolson Scheme for Saint-Venant System of Equations and Learning Control Modeling

作　　者：李光[1] 戴喜生[1,2] LI Guang DAI Xi-sheng(School of Electrical and Information Engineering,Guangxi University of Science and Technology ,Liuzhou,Guangxi 545006,China Colleges and Universities Key Laboratory of Intelligent Integrated Automation Guilin University of Electronic Technology,Guilin,Guangxi 541004,China)

机构地区：[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

出　　处：《计算技术与自动化》2017年第1期6-11,共6页Computing Technology and Automation

基　　金：国家自然科学基金项目(NSFC61364006);智能综合自动化高校重点实验室基金项目(智自201502)

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.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 lineariza- tion 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.

关 键 词：Saint-Venant方程 离散化 Crank-Nicolson格式 迭代学习控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]