多级耦合非线性系统的流控制  

The flow control of nonlinear system with coupled multistage

作　　者：路萍 李少远[1] 

机构地区：[1]上海交通大学自动化系,系统控制与信息处理教育部重点实验室,上海200240

出　　处：《控制理论与应用》2017年第10期1275-1284,共10页Control Theory & Applications

基　　金：国家自然科学基金项目(61233004,61590924)资助~~

摘　　要：针对一类动态特性遵循热力学第一和第二定理的多级耦合非线性系统,其系统模型维度高,各部分关联耦合,导致稳定性控制较为困难.本文应用一种流控制方法,利用该类系统物质流和能量流的关系构建宏观模型来代替高维的微观模型,实现对复杂系统的建模.利用无源性系统控制简单的特点,对系统进行无源性转化,降低复杂多变量系统的控制难度,且确保了系统的稳定性.此外,利用系统的输入输出流作为操作变量,使得算法操作简单.文章利用典型的多元精馏塔作为实例,给出流控制算法步骤,并进行验证.结果表明该算法具有流程简单且易于操作的特点,能够达到满意的控制效果,并有较好的稳定性和鲁棒性.For a class of multistage-coupled and nonlinear system, whose dynamic characteristics follow the first and second laws of thermodynamics, for the high model dimension and coupling effects, it is difficult to realize the stable control for this class of system. Therefore, a flow control method is applied in this paper. This control method takes advantage of the relationship between system material flows and energy flows, to build a macroscopic thermodynamic model instead of a high dimensional microscopic model. In this way, a complicated system can be modeled in lower dimension. And this algorithm takes advantage that passive system is easy to control. It makes a system passive, so that makes it easy to realize a stable control for a complex multivariable system. In addition, it chooses system input or output flow as the manipulated variable, which realizes the easy operation in practice. In this paper, the multiple distillation as a typical example is used to prove the validity and effectiveness of flow control algorithm. The arithmetic steps is given, and all results shows that flow control algorithm can achieve satisfactory performance and have a good anti-interference ability.

关 键 词：多级耦合 非线性系统 物质流 能量流 无源性 稳定性 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]