Cart (Loading....) | Create Account
Close category search window
 

On closed-form expressions for mean squares in discrete-continuous systems

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

1 Author(s)
Sklansky, J. ; RCA Laboraories, Princeton, NJ, USA

When a system is to be optimized with respect to the mean square of some variable, a closed-form expression for that mean square is usually desired. The problem of obtaining such expressions for discrete-continuous systems-i.e., systems made up of both sampled-data and continuous subsystems-has been a difficulty in the past. The reason for this is that the spectral densities of the variables of interest often contain rational functions ofexp (j2pifT)combined multiplicatively with rational functions off, fbeing the frequency coordinate of the spectral densities, andTthe sampling period. Presented here is a technique for finding the desired closed-form expressions. It is based on the relationintmin{-jinfty}max{jinfty} P^{ast}(e^{s^{T}})Q(s)ds = oint P^{ast}(z)Q^{ast}(z)z^{-1}dz, whereQ^{ast} (z)is the "Z-transform" ofQ (s), To illustrate the technique, closed-form formulas for the output and ripple of discrete-continuous systems and for the control error of sampled-data feedback systems are derived, and an application to a "track-while-scan" system is given.

Published in:

Automatic Control, IRE Transactions on  (Volume:4 ,  Issue: 1 )

Date of Publication:

Mar 1958

Need Help?


IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.