Graph theoretical methods in control systems analysis

Wang F.Y. and Cameron I.T. (1993) Graph theoretical methods in control systems analysis. Chemical Engineering Science, 48 22: 3777-3782. doi:10.1016/0009-2509(93)80220-K


Author Wang F.Y.
Cameron I.T.
Title Graph theoretical methods in control systems analysis
Journal name Chemical Engineering Science   Check publisher's open access policy
ISSN 0009-2509
Publication date 1993
Sub-type Article (original research)
DOI 10.1016/0009-2509(93)80220-K
Volume 48
Issue 22
Start page 3777
End page 3782
Total pages 6
Subject 1500 Chemical Engineering
Abstract Graph theoretical methods are widely used in the analysis of controllability, operability, loop interaction and the relative degree of control systems. However, misleading results can occur due to two common reasons: (1) only necessary conditions can be developed by using qualitative graph analysis without any guarantee of sufficiency and (2) the primary graphs directly obtained from the system equations are not normally in their practical irreducible forms. That is, path cancellations and loop eliminations are possible to reduce the graphs yet still preserve the physical significance and the structural characteristics of the control systems. In this paper, a model evaporation process which is described bu four differnt sets of state equations is employed to demonstrate the applications of graph theoretical methods and the sources causing the possible misleading results. Quantitative analysis and graph reduction techniques are emphasized for the detection of misleading graphs.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Scopus Import
 
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Created: Tue, 28 Jun 2016, 00:33:48 EST by System User