鲁棒控制在多渠段自动控制的应用  

Application of robust controler in automatic control of multi_section channel system

作　　者：管光华[1] 王长德[1] 范杰[1] 崔巍[1] 

机构地区：[1]武汉大学水资源与水电工程科学国家重点实验室,湖北武汉430072

出　　处：《水利学报》2005年第11期1379-1384,1391,共7页Journal of Hydraulic Engineering

基　　金：国家863计划资助项目(2001AA242111);国家自然科学基金资助项目(59879016)

摘　　要：本文旨在研究渠道系统鲁棒控制器的线性矩阵不等式(LMl)设计方法及仿真。通过将系统的最小实现矩阵转化为一个由线性矩阵不等式约束的凸优化问题,然后再用MATLAB软件求解这一凸优化问题。这种方法既避免了对加权函数的试凑,而且控制器是直接求解,无需迭代,也不需要太多的约束条件,可以在更大的范围内达到收敛。通过文章末尾的一个两渠段串联算例表明,控制器能够在系统参数变化的情况下维持稳定、保持系统的性能基本不下降。The linear matrix inequality （LMI） method is applied to acquire the solution of the mathematical expression of robust controller for automatic control of multi-section channel system. The main idea is to transform the minimum realizing matrix to a protruding optimized problem with the restriction of a LMI, then solve this protruding optimize problem with the MATLAB. By using this method the trial procedure of the weighted function can be avoided and the expression of the controller can be solved directly without iteration. An example with a serial channel system is given to demonstrate that the controller can keep the system stable.

关 键 词：渠道系统 鲁棒控制 线性矩阵不等式 凸优化 动态仿真 

分 类 号：TV133[水利工程—水力学及河流动力学]