摘要
化工过程作为高维大系统往往存在内部耦合,且通常某些部分内部耦合严重,而与其余部分耦合作用较小。高维大系统可以根据内部耦合强弱划分子系统,并以分块的方式进行块分散控制。随着维数增加,可能的子系统划分方式迅速增加。为了解决大系统子系统划分和控制系统结构设计问题,本文以结构矩阵作为大系统子系统划分和变量配对的数学描述,提出了大系统简易度和可控度的概念,并以简易度和可控度的加权和作为大系统子系统划分的综合评价准则。依据该准则提出了一种优化的大系统子系统划分搜索方法,逐步增加子系统分块维数,迭代搜索大系统子系统划分,以尽可能小的分块维数实现相对能量增益阵对应的子系统分块行元素和尽可能接近于1,最终挑选出较为合理的大系统控制系统结构设计方案。最后以两个典型大系统实例分析说明了该方法的可行性和有效性。
Chemical processes are usually large-scale systems, and there are always interactions between input variables and output variables. For most processes, heavy interactions exist in some parts while less interaction between other parts. Therefore, large-scale systems can be divided into several subsystems and controlled in block-wise based on their inner interactions. The number of possible subsystem divisions increases rapidly with the increase of dimensionality. In order to solve problems of subsystem division and control configuration design of large-scale systems, structural array was used as the mathematical description for subsystem division and variable pairing, and concepts of simplicity degree and controllability degree were proposed. A comprehensive evaluation criterion for possible subsystem division was obtained from the weighted sum of simplicity degree and controllability degree. A searching method for optimized subsystem division was presented accordingly. An iterative searching method was used via gradual increase of subsystem block dimension to find reasonable subsystem blocks with the sum of row elements of the relative energy gain array close to 1, and thus to find the most reasonable block decentralized control configuration design. Finally, two typical cases are used to demonstrate the validity and feasibility of the proposed interaction decomposition method for large-scale systems.
作者
许锋
袁未未
罗雄麟
XU Feng;YUAN Wei-wei;LUO Xiong-lin(Department of Automation,China University of Petroleum,Beijing 102249,China)
出处
《高校化学工程学报》
EI
CAS
CSCD
北大核心
2018年第3期606-619,共14页
Journal of Chemical Engineering of Chinese Universities
基金
国家自然科学基金(21676295)
中国石油大学(北京)科研基金(2462015YQ0510)
关键词
大系统
关联分析
子系统
块分散控制
large-scale systems
interaction analysis
subsystem
block decentralized control
