Optimal Observation of Linear Plants Whose Dynamic Properties Are Known

[+] Author and Article Information
R. Gessing

Technical University, Gliwice ul. Katowicka, Poland

J. Dyn. Sys., Meas., Control 95(1), 36-43 (Mar 01, 1973) (8 pages) doi:10.1115/1.3426647 History: Received December 07, 1972; Online July 13, 2010


The paper is concerned with determination of the state components in the case of measurements of output and control signals of the plant with errors. The optimal operators have been considered, which in the case of least favorable measurement errors give a minimal value of error of component to be defined. Particularly a case of signal measurement with errors which differ from each other has been considered. It has been shown that optimal operators are certain linear operators. The way of selecting these optimal operators from linear operators has been also shown. Namely it has been proved that for all cases which are considering the so called mini-max principle preserve its validity. Other theorems which can help to select optimal operators are formulated.

Copyright © 1973 by ASME
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