Stability analysis of structured chemical engineering systems via decomposition

Manfred Morari, George Stephanopoulos, Rutherford Aris

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The stability properties of highly dimensional chemical engineering systems are investigated using a decomposition method and vector Lyapunov functions. Finite stability regions are found for sequences of three and sixteen stirred tank reactors within which a first order exothermic reaction occurs. The stabilty region is of a shape one would expect intuitively on the basis of the sequential structure of the system and of a much larger size than was previously reported in the literature. The computational effort involved is negligible. In addition bounds on the input fluctuations are developed for which the system is stable. These input-output stability criteria can generally not be obtained from a direct application of Lyapunov's theory and appear to be of practical interest.

Original languageEnglish (US)
Pages (from-to)11-15
Number of pages5
JournalChemical Engineering Science
Volume34
Issue number1
DOIs
StatePublished - Jan 1 1979
Externally publishedYes

Fingerprint

Systems Engineering
Chemical engineering
Stability Analysis
Vector Lyapunov Functions
Decomposition
Decompose
Lyapunov Theory
Exothermic reactions
Stability Region
Stability criteria
Lyapunov functions
Decomposition Method
Stability Criteria
Reactor
Fluctuations
First-order
Output

ASJC Scopus subject areas

  • Chemistry(all)
  • Chemical Engineering(all)
  • Industrial and Manufacturing Engineering
  • Applied Mathematics

Cite this

Stability analysis of structured chemical engineering systems via decomposition. / Morari, Manfred; Stephanopoulos, George; Aris, Rutherford.

In: Chemical Engineering Science, Vol. 34, No. 1, 01.01.1979, p. 11-15.

Research output: Contribution to journalArticle

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