A General Solution for Linear, Sampled-Data Control

[+] Author and Article Information
T. L. Gunckel

Physical Analysis Unit, Inertial Navigation Division, Autonetics, Downey, Calif.

Gene F. Franklin

Department of Electrical Engineering, Stanford University, Stanford, Calif.

J. Basic Eng 85(2), 197-201 (Jun 01, 1963) (5 pages) doi:10.1115/1.3656559 History: Received April 05, 1962; Online November 03, 2011


If system performance can be adequately measured by a quadratic function of the error, it is possible to present a single optimum design procedure that encompasses almost all linear, sampled-data control problems of interest. This development includes both random and deterministic inputs, the random parameter problem, and a general time-varying system. The results are in the form of iterative equations which specify the optimum linear feedback coefficients. The method constitutes a generalization of the work by Kalman, Koepcke, Bellman, and others, and presumes the availability of a digital computer to solve the final equations.

Copyright © 1963 by ASME
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