2 Singular perturbation theory
The review in the previous chapter pointed out that, while long acknowledged, the multiple-time-scale dynamic behavior of integrated chemical plants has been dealt with mostly empirically, both from an analysis and from a control point of view. In the remainder of the book, we will develop a mathematically rigorous approach for identifying the causes, and for understanding and mitigating the effects of time-scale multiplicity at the process system level.
The present chapter introduces the reader to singular perturbation theory as the framework for modeling and analyzing systems with multiple-time-scale dynamics, which we will make extensive use of throughout the text.
2.2 Properties of ODE systems ...