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Characterization of multiple variable linear systems from random inputs
Author(s) -
Angus R. M.,
Lapidus Leon
Publication year - 1963
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690090620
Subject(s) - transfer function , control theory (sociology) , constant (computer programming) , noise (video) , variable (mathematics) , matrix (chemical analysis) , random variable , function (biology) , linear system , mathematics , identification (biology) , computer science , algorithm , statistics , control (management) , engineering , chemistry , mathematical analysis , chromatography , artificial intelligence , evolutionary biology , electrical engineering , image (mathematics) , biology , programming language , botany
Abstract The time constant of a continuous stirred‐tank reactor and the transfer function of a simulated second‐order system with two random inputs were determined. In the first case the experimental result agreed within 11% of the known value; in the second case the results agreed with those predicted from a theoretical analysis. To determine the transfer matrix of a fifth‐order system an impractical amount of medium speed computer time was required; the results were not considered satisfactory. However the length of calculation compares favorably with other methods of total identification for processes which have extraneous noise associated with them. Because of this the application of the present technique in adaptive control systems appears to be favorable.