NDLI: Optimum control of an unknown linear plant using Bayesian estimation of the error

Content Provider	IEEE Xplore Digital Library
Author	Spang, H.
Copyright Year	1963
Abstract	In this paper, the theory of the optimum control of an unknown linear plant is discussed. Rather than try to estimate the coeffcients of the plant, the future error as defined by a quadratic measure is estimated using a Bayesian estimator. In this manner, better system performance can be expected since the effect of estimation errors on the estimator is obtained. The optimum control signal is then obtained which minimizes the estimated future error. It is shown that it is a linear function of the present output of the system. In the final section, a necessary and sufficient condition is obtained for the convergence of this procedure to the optimum system obtained with known coefficients.
Sponsorship	IEEE Control Systems Society
Starting Page	80
Ending Page	83
Page Count	4
File Size	485140
File Format	PDF
ISSN	00189286
Volume Number	10
Issue Number	1
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1965-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Bayesian methods Estimation error Error correction Stochastic processes Optimal control System performance Sufficient conditions Convergence Control systems Mathematical model
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Electrical and Electronic Engineering Computer Science Applications

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