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

de ion 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