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Dynamics and Nonlinear Control of Integrated Process Systems by Prodromos Daoutidis, Michael Baldea

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2 Singular perturbation theory

2.1 Introduction

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 ...

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