0
RESEARCH PAPERS

Least-Squares Estimator for Nonlinear Systems With Transport Delay

[+] Author and Article Information
A. J. Koivo, R. L. Stoller

Department of Electrical Engineering, Purdue University, Lafayette, Ind.

J. Dyn. Sys., Meas., Control 96(3), 301-306 (Sep 01, 1974) (6 pages) doi:10.1115/1.3426806 History: Received May 22, 1974; Online July 13, 2010

Abstract

The problem of estimation of states in nonlinear dynamical systems containing time delays is formally studied. The plant is specified by a set of nonlinear differential-difference equations. Observations are a nonlinear function of current and/or delayed states. Both contain deterministic additive disturbances. The criterion used for the optimal estimates is the integral of the weighted squared error. Using the theory of the calculus of variations, equations are developed for the estimation. They are first expressed in the form of a split boundary value problem, which is then converted to an (approximate) initial value problem for online estimation. The result yields an estimation scheme in which filtered and smoothed estimates are computed in a sequential manner. The applicability of the procedure is demonstrated by estimating variables of a nonlinear model describing the behavior of a stirred tank reactor.

Copyright © 1974 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In