Lyapunov Dynamic Flexibility of Nonlinear Processes

Wentao Tang, Prodromos Daoutidis

Research output: Chapter in Book/Report/Conference proceedingChapter

4 Scopus citations


Dynamic flexibility analysis aims to describe the operability (controllability, resiliency) of dynamic process systems subject to uncertainties, thus facilitating the integration of process design and control. However, the intrinsic limitations of controllability indices and the computational intractability of the optimization formulations in the state-of-the-art approaches largely prohibit their applicability to large-scale nonlinear processes. In this work, we propose a new framework for dynamic flexibility analysis, where a Lyapunov function is considered as an artificial design decision, so that the feasibility and cost of process operation can be evaluated based on estimating the effect of the uncertainties on the Lyapunov function value. The proposed approach leads to computationally efficient optimization formulations for the flexibility test, flexibility index and optimal process design problems under nonlinear dynamics. A preliminary case study is performed on a two-reactor system.

Original languageEnglish (US)
Title of host publicationComputer Aided Chemical Engineering
PublisherElsevier B.V.
Number of pages6
StatePublished - 2019

Publication series

NameComputer Aided Chemical Engineering
ISSN (Print)1570-7946

Bibliographical note

Funding Information:
Financial support from NSF-CBET and Doctoral Dissertation Fellowship of University of Minnesota is gratefully acknowledged.

Publisher Copyright:
© 2019 Elsevier B.V.


  • Dynamic flexibility
  • Integrated design and control
  • Lyapunov function


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