大型渠系联合运行状态空间模型不确定性的描述与度量

多渠段联合的自动化运行是现代节水农业的重要发展趋势之一,也是现阶段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赖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,对其不确定性的来源做分类分析,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。以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。

Describe and measurement of uncertainty of state-space model for large-scale multi-channel network

The automatic control of channel network is a key solution to the modern water-saving irrigation,and it is also a key technique problem of the Middle Routine 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 in this paper is used to analyze the uncertainty introduced in the procedure of linearization;this uncertainty will be a precondition for the design of robust controller.If the liner model is taken as the standard one,the uncertainty is expressed by the largest singular value of the distance matrix of the models.And a simulation example of six-canal is given.