奇异摄动双线性系统的降阶及其在固定床反应器中的应用

本文讨论多参数奇异摄动双线性系统的降阶。因为用奇异摄动法降阶的直接结果不符合双线性形式,就进一步提出了一种近似的降阶模型。方法相当简单。它不要求摄动小参数方面的知识,并避免了复杂的数值计算。所给方法的有效性,通过在氨合成反应器和本文建立的甲醇反应器的双线性模型降阶的应用获得证实。

Reduction of singular perturbation bilinear systems with applications to fixed-bed reactor

The aim of the present work is to study the reduction of multi-parameter singular perturbation bilinear systems. Because the model obtained via the singular perturbation method is not bilinear in general, further approximation is developed, yielding a reduced order model. No details about small parameter are needed in the study, thus the difficulties of complex computation are avioded due to the simplicity of this approach. The validity of the proposed method is demonstrated by its application to bilinear models of an ammonia reactor and methanol reactor, the later of which is established in this paper.