Research Papers

Statistical Optimization of Regulators Employing a Binary Error Criterion

[+] Author and Article Information
J. H. Milsum

Simulation Group, National Research Council of Canada, Ottawa, Ontario, Canada

J. Basic Eng 81(2), 254-261 (Jun 01, 1959) (8 pages) doi:10.1115/1.4008432 History: Received July 15, 1958; Published June 01, 1959; Online February 20, 2019


The problem is considered of minimizing total costs of a regulator subject to both a steady reference input and a statistical load disturbance. A binary error criterion is used which directly relates the error magnitude to the economic penalty entailed by the error. In contrast it is not easy to relate the mean-square error to economic penalty. Experimental work shows that the amplitude probability density distributions in saturating loops are altered sufficiently from the Gaussian that the statistical linearization technique does not predict results with satisfactory accuracy in many cases of interest. The use of modified distributions alleviates this problem, but analog computer experiments provide the most satisfactory attack for complicated situations and are easily instrumented.

Copyright © 1959 by ASME
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