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The use of krasovskii's stability technique for control strategy evaluation and system design
Author(s) -
Lee P. L.,
Newell R. B.
Publication year - 1980
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450580316
Subject(s) - stability (learning theory) , control theory (sociology) , mathematics , adiabatic process , order (exchange) , exponential stability , control (management) , mathematical optimization , computer science , thermodynamics , economics , nonlinear system , artificial intelligence , physics , machine learning , finance , quantum mechanics
Krasovskii's stability method for generating Lyapunov functions for the prediction of regions of asymptotic stability (RAS) is applied to a second‐order chemical reaction in an adiabatic CSTR. Three conclusions are drawn from this study. Firstly, that the stability areas predicted by the method are too conservative for use as criteria for control system design. Secondly, that the method fails to predict valid regions of asymptotic stability under some circumstances. Thirdly the results are shown to be sensitive to changes in system parameter values.