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Application of the linear-quadratic-Gaussian tracking problem to production planning and control systems

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2 Author(s)
Willke, T.L. ; Battelle Memorial Institute, Columbus, Ohio ; Miller, R.A.

The application of the linear-quadratic-Gaussian (LQG) tracking problem to production planning and control systems is discussed. Decision concepts are developed from an examination of the structure of a generalized production control system. The decision problem is modeled as a LQG tracking problem operating in the presence of persistent disturbances--the disturbances representing the demand for finished goods. The development of a solution leads to a linear, time-invariant decision policy which is a decomposition of the decision input into separate and nearly independent decision tasks. Sufficient conditions for the existence of a solution are presented. An open-loop, closed-loop decision system is presented to show how the decision model can be used to analyze relationships among system structure, performance, and information requirements.

Published in:

Decision and Control including the 13th Symposium on Adaptive Processes, 1974 IEEE Conference on

Date of Conference:

20-22 Nov. 1974