NDLI: Third cumulant statistical control of the first generation structural benchmark problem

Content Provider	IEEE Xplore Digital Library
Author	Storrer, L.J. Diersing, R.W.
Copyright Year	2010
Description	Author affiliation: Department of Engineering, University of Southern Indiana, Evansville, IN 47712 (Storrer, L.J.; Diersing, R.W.)
Abstract	Cumulants are gaining in popularity for use in stochastic control and game theory. They also have been effective in application to building and vibration control problems. Much of the work has been done for the finite time horizon case. In this paper, cost cumulants will be used on a discounted cost function. The control will be concerned with the first three cumulants, the mean, variance, and skewness. A coupled Riccati equation is given with an optimal cumulant control law. The results are applied to a three story building subject to a seismic disturbance and those results are compared with other cumulant controllers, including the well-known LQG control method.
Starting Page	502
Ending Page	505
File Size	1478821
Page Count	4
File Format	PDF
ISBN	9781424458547
e-ISBN	9781424458530
DOI	10.1109/SECON.2010.5453821
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-03-18
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Cost function Control systems Riccati equations Buildings Probability distribution Linear systems Probability density function Stochastic processes Game theory Vibration control
Content Type	Text
Resource Type	Article

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