《南水北调与水利科技》：多渠段联合运行状态空间模型不确定性的描述与度量（管光华,王长德,冯晓波）（摘要）

摘要：多渠段联合的自动化运行是南水北调中线运行控制的关键技术问题，其控制器的设计求解依据于线性化的系统数学模型，而多渠段系统本身是高度非线性耦合系统。针对所建立的多渠段多输入多输出（MIMO）模型，分析数学模型在线性化过程中引入的不确定性，作为系统鲁棒控制器设计的基础。将线性化的模型作为标称模型，不确定性采用模型之间差异矩阵的最大奇异值表示。最后针对一个六渠段串联的算例进行求解，得出其模型不确定性的定量描述。

关键词：渠道自动化；状态空间方程；鲁棒控制；数学模型；不确定性

中图分类号：TV213 文献标识码：A 文章编号：1672-1683（2008）01-0001-05

Description and Measurement of Uncertainty for State-Space Model of Large-Scale Multi-Channel Network

GUAN Guang-hua,WANG Chang-de,FENG Xiao-bo

(State Key Laboratory of Water Resources and Hydropower Engineering Science,Wuhan University,Wuhan 430072,China)

Adstract:Automatic control of channel network is a key solution for modern water-saving irrigation,and is also a key technique problem that the Middle Route of the South-to-North Water Diversion Project,the design of controller demands a liner mathematical model,but the channel networks system is a high nonlinear system.A MIMO model of Multi-Channel system built is used to analyze the uncertainty introduced in the procedure of linearization;this uncertainty will be a percondition for the design of robust conturller.Take the liner model as the nominal one, the uncertainty is expressed by the largest singular value of the distance matrix of the models.At last a simulation example of six channels is given.

Key words:channel automation;state-space equations;robust control;mathematical model;uncertainty

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基金项目：国家863计划资助项目（2001AA24211）；国家自然科学基金资助项目（59879016）

作者简介：管光华（1979-），男，江苏阜宁人，讲师，主要从事渠系自动化研究。