Characterization of multiple variable linear systems from random inputs

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.

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