工业过程有约束多目标多自由度优化控制的可行性分析

Feasibility Analysis of Constrained Multi-Objective MultiDegree-of-Freedom Optimization Control in Industrial Processes

有约束多目标多自由度优化（ＣｏｎｓｔｒａｉｎｅｄＭｕｌｔｉ－ｏｂｊｅｃｔｉｖｅＭｕｌｔｉｄｅｇｒｅｅｏｆｆｒｅｅｄｏｍＯｐｔｉｍｉｚａｔｉｏｎ，ＣＭＭＯ）是从复杂工业过程优化控制的实际应用背景出发而提出的，本文介绍了ＣＭＭＯ的基本思想，着重讨论了ＣＭＭＯ中的可行性问题，给出了可行性分析的有效方法．该方法从一般意义来讲，又可以解决两类数学问题．第一类是高维空间具有一定规则的两平直多面体之间是否相交，以及相交区域的估计问题，第二类是一组不等式之间是否相容，以及相容区域的估计问题．

CMMO (constrained multi-objective multi degree of freedom optimization,CMMO) is proposed from the application background of optimization control for complex industrial processes. In this paper,the main idea of CMMO is discussed,the emphasis of this paper is focused on the feasibility analysis of CMMO,and effective method is suggested.